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version 1.14, 2007/01/24 19:01:38 |
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| <s>tùm a&longs;&longs;umatur EF æqualis QT, AB æqualis QR, ON æqualis <lb/>QV tùm QR in ip&longs;a QK, & æqualis QY, ED, a qualis QS, & OL æqualis <lb/>QX; & per puncta a&longs;&longs;ignata de&longs;cribatur Helix QFBNPIDLK, per cam <lb/>de&longs;cenderet globus ad centrum terræ K po&longs;t duas circumuolutioncs. </s></p><p type="main"> | <s>tùm a&longs;&longs;umatur EF æqualis QT, AB æqualis QR, ON æqualis <lb/>QV tùm QR in ip&longs;a QK, & æqualis QY, ED, a qualis QS, & OL æqualis <lb/>QX; & per puncta a&longs;&longs;ignata de&longs;cribatur Helix QFBNPIDLK, per cam <lb/>de&longs;cenderet globus ad centrum terræ K po&longs;t duas circumuolutiones. </s></p><p type="main"> |
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| <s>Per aliam quoque &longs;piralem compo&longs;itam ex &longs;emicirculis de&longs;cendere <lb/>pote&longs;t ad centrum terræ B; &longs;it enim centrum terræ F & globus terræ A <lb/>CMD; accipiantur duo puncta hinc inde HK ad libitum; tunc ex H <lb/>fiat &longs;emicirculus MB; haud dubiè globus po&longs;itus in M de&longs;cendet in B per <lb/>conuexum &longs;emicirculi in B; quia B inter omnia illius puncta accedit pro­<lb/>ximè ad F; tùm ex K ducatur &longs;emicirculus BI; certè ex B de&longs;cenderet in I <lb/>propter <expan abbr="eãdem">eandem</expan> rationem, tùm ex H de&longs;cribatur &longs;emicirculus IF; certè <lb/>ex I de&longs;cendet in F, quæ omnia patent ex dictis; po&longs;&longs;unt autem multipli­<lb/>cari i&longs;tæ &longs;piræ in infinitum: Hinc licèt globus &longs;ingulis horis 100000. leu­<lb/>cas conficeret in de&longs;cen&longs;u, non tamen attingeret centrum ni&longs;i po&longs;t 1000. <lb/>annos, immò plures &longs;ecundùm numerum &longs;pirarum. </s></p><pb xlink:href="026/01/263.jpg" pagenum="231"/><p type="main"> | <s>Per aliam quoque &longs;piralem compo&longs;itam ex &longs;emicirculis de&longs;cendere <lb/>pote&longs;t ad centrum terræ B; &longs;it enim centrum terræ F & globus terræ A <lb/>CMD; accipiantur duo puncta hinc inde HK ad libitum; tunc ex H <lb/>fiat &longs;emicirculus MB; haud dubiè globus po&longs;itus in M de&longs;cendet in B per <lb/>conuexum &longs;emicirculi in B; quia B inter omnia illius puncta accedit pro­<lb/>ximè ad F; tùm ex K ducatur &longs;emicirculus BI; certè ex B de&longs;cenderet in I <lb/>propter <expan abbr="eãdem">eandem</expan> rationem, tùm ex H de&longs;cribatur &longs;emicirculus IF; certè <lb/>ex I de&longs;cendet in F, quæ omnia patent ex dictis; po&longs;&longs;unt autem multipli­<lb/>cari i&longs;tæ &longs;piræ in infinitum: Hinc licèt globus &longs;ingulis horis 100000. leu­<lb/>cas conficeret in de&longs;cen&longs;u, non tamen attingeret centrum ni&longs;i po&longs;t 1000. <lb/>annos, immò plures &longs;ecundùm numerum &longs;pirarum. </s></p><pb xlink:href="026/01/263.jpg" pagenum="231"/><p type="main"> |
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| <s><emph type="italics"/>Po&longs;&longs;unt e&longs;&longs;e infinita plana inter orbem terræ, & horizontale per quæ globus <lb/>&longs;eu corpus graue non de&longs;cendet<emph.end type="italics"/>; &longs;it enim centrum terræ C, ex quo de&longs;cri­<lb/>batur arcus QMH ducta diametro MCA in M; ducatur Tangens NM <lb/>L; hæc erit horizontale planum, vt con&longs;tat; tùm ex aliquo puncto infra C <lb/>putà ex A de&longs;cribatur arcus SMK; cercè &longs;i ponatur globus in M non <lb/>de&longs;cendet per arcum MG, quia potiùs a&longs;cenderet; immò &longs;i ponatur <lb/>in T de&longs;cendet in M, immò faciliùs pelleretur corpus graue per arcum <lb/>MT, quàm per horizontalem MN, vt patet; igitur potentia illa, quæ per <lb/>horizontalem pellit non e&longs;t omnium minima, quæ per arcum MQ pel­<lb/>lit; quia in eo nullo modo globus a&longs;cendit, &longs;ed &longs;emper à centro C æqui­<lb/>di&longs;tat. </s> | <s><emph type="italics"/>Po&longs;&longs;unt e&longs;&longs;e infinita plana inter orbem terræ, & horizontale per quæ globus <lb/>&longs;eu corpus graue non de&longs;cendet<emph.end type="italics"/>; &longs;it enim centrum terræ C, ex quo de&longs;cri­<lb/>batur arcus QMH ducta diametro MCA in M; ducatur Tangens NM <lb/>L; hæc erit horizontale planum, vt con&longs;tat; tùm ex aliquo puncto infra C <lb/>putà ex A de&longs;cribatur arcus SMK; cercè &longs;i ponatur globus in M non <lb/>de&longs;cendet per arcum MG, quia potiùs a&longs;cenderet; immò &longs;i ponatur <lb/>in T de&longs;cendet in M, immò faciliùs pelleretur corpus graue per arcum <lb/>MT, quàm per horizontalem MN, vt patet; igitur potentia illa, quæ per <lb/>horizontalem pellit non e&longs;t omnium minima, quæ per arcum MQ pel­<lb/>lit; quia in eo nullo modo globus a&longs;cendit, &longs;ed &longs;emper à centro C æqui­<lb/>di&longs;tat. </s> |
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| <s>Si verò a&longs;&longs;umas quæcumque centra &longs;upra B putà D, & E, & ducas <lb/>atcus TMGPOMF; certè globus de&longs;cendet per MO, & MP, vt manife­<lb/>&longs;tum e&longs;t ex dictis, & hoc fortè ludicrum cuiquam videbitur; &longs;i enim col­<lb/>locetur globus in T, de&longs;cendit ver&longs;us M; &longs;i verò in Y de&longs;cendet ver&longs;us <lb/>P; licèt V & T non di&longs;tét pollice; po&longs;&longs;unt enim accipi minima illa &longs;patia <lb/>ver&longs;us M, vbi e&longs;t angulus conting entiæ; nulla tamen pote&longs;t duci recta ab <lb/>M infra MN, per quam globus non de&longs;cendat velociùs initio, quàm per <lb/>vllum arcum, &longs;iue MP, &longs;iue MO, &longs;iue quemcnmque alium quamtumuis <lb/>maximè incuruatum vel inclinatum; quia &longs;cilicet recta illa ducta ex M <lb/>infra MN &longs;ecat omnes illos arcus, vt patet; igitur initio facit planum <lb/>inclinatius: dixi initio, quia deinde in arcu multùm inuale&longs;cit motus, <lb/>cum &longs;emper deficiat in recta, vt diximus abundè &longs;uprà. </s></p><p type="main"> | <s>Si verò a&longs;&longs;umas quæcumque centra &longs;upra B putà D, & E, & ducas <lb/>arcus TMGPOMF; certè globus de&longs;cendet per MO, & MP, vt manife­<lb/>&longs;tum e&longs;t ex dictis, & hoc fortè ludicrum cuiquam videbitur; &longs;i enim col­<lb/>locetur globus in T, de&longs;cendit ver&longs;us M; &longs;i verò in Y de&longs;cendet ver&longs;us <lb/>P; licèt V & T non di&longs;tét pollice; po&longs;&longs;unt enim accipi minima illa &longs;patia <lb/>ver&longs;us M, vbi e&longs;t angulus contingentiæ; nulla tamen pote&longs;t duci recta ab <lb/>M infra MN, per quam globus non de&longs;cendat velociùs initio, quàm per <lb/>vllum arcum, &longs;iue MP, &longs;iue MO, &longs;iue quemcumque alium quamtumuis <lb/>maximè incuruatum vel inclinatum; quia &longs;cilicet recta illa ducta ex M <lb/>infra MN &longs;ecat omnes illos arcus, vt patet; igitur initio facit planum <lb/>inclinatius: dixi initio, quia deinde in arcu multùm inuale&longs;cit motus, <lb/>cum &longs;emper deficiat in recta, vt diximus abundè &longs;uprà. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 99.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 99.<emph.end type="center"/></s></p><p type="main"> |
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| <s><emph type="italics"/>Si quadrans ita di&longs;tet à centro mundi, vt tùm alter eius radius, tùm Tan­<lb/>gens ip&longs;i parallela cen&longs;eantur perpendiculares, globus de&longs;cendet ex eius vertice <lb/>per arcum<emph.end type="italics"/>: Sit enim quadrans ATE erectus &longs;upra horizontem, ita vt <lb/>AE &longs;it horizontalis, & tùm TA, tùm 3. A perpendiculares; certè de&longs;cen­<lb/>det globus per eius conuexum VBA in eadem proportione, in qua de&longs;­<lb/>cerdit per &longs;emicirculum, de quo &longs;uprà; Igitur motus per quadrantem T <lb/>BE e&longs;t ad motum per ip&longs;um perpendiculum in eadem ratione, in qua e&longs;t <lb/>ad motum per &longs;emicirculum; quippe motus in T nullus e&longs;t per arcum TE; <lb/>5.verò motus per arcum 5.E, initio &longs;cilicet, vt &longs;æpè dictum e&longs;t, e&longs;t ad mo­<lb/>tum per ip&longs;am perpendicularem vt A 7.ad A 5.in 4.vt A 7.ad A 4. in B <lb/>vt A <foreign lang="greek">d</foreign> ad AB, in D vt AH ad AD in X vt AF ad AX, in E, vt AE ad A <lb/>E; vides autem tran&longs;ire motum hunc ferè per omnes gradus tarditatis: di­<lb/>co ferè, quia reuerâ non tran&longs;it per omnes; quippe &longs;i fieret maior qua­<lb/>drans tangens i&longs;tum in T, motus e&longs;&longs;et iuxta initium præ&longs;ertim tar­<lb/>dior. </s></p><pb xlink:href="026/01/264.jpg" pagenum="232"/><p type="main"> | <s><emph type="italics"/>Si quadrans ita di&longs;tet à centro mundi, vt tùm alter eius radius, tùm Tan­<lb/>gens ip&longs;i parallela cen&longs;eantur perpendiculares, globus de&longs;cendet ex eius vertice <lb/>per arcum<emph.end type="italics"/>: Sit enim quadrans ATE erectus &longs;upra horizontem, ita vt <lb/>AE &longs;it horizontalis, & tùm TA, tùm 3. A perpendiculares; certè de&longs;cen­<lb/>det globus per eius conuexum VBA in eadem proportione, in qua de&longs;­<lb/>cerdit per &longs;emicirculum, de quo &longs;uprà; Igitur motus per quadrantem T <lb/>BE e&longs;t ad motum per ip&longs;um perpendiculum in eadem ratione, in qua e&longs;t <lb/>ad motum per &longs;emicirculum; quippe motus in T nullus e&longs;t per arcum TE; <lb/>5.verò motus per arcum 5.E, initio &longs;cilicet, vt &longs;æpè dictum e&longs;t, e&longs;t ad mo­<lb/>tum per ip&longs;am perpendicularem vt A 7.ad A 5.in 4.vt A 7.ad A 4. in B <lb/>vt A <foreign lang="greek">d</foreign> ad AB, in D vt AH ad AD in X vt AF ad AX, in E, vt AE ad A <lb/>E; vides autem tran&longs;ire motum hunc ferè per omnes gradus tarditatis: di­<lb/>co ferè, quia reuerâ non tran&longs;it per omnes; quippe &longs;i fieret maior qua­<lb/>drans tangens i&longs;tum in T, motus e&longs;&longs;et iuxta initium præ&longs;ertim tar­<lb/>dior. </s></p><pb xlink:href="026/01/264.jpg" pagenum="232"/><p type="main"> |
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| <s>Ob&longs;erua&longs;ti iam vt puto motum per Arcnm TBE e&longs;&longs;e inuer&longs;um vul­<lb/>garis funependuli; quippe in illo motuum incrementa initio &longs;unt mino­<lb/>ra, & &longs;emper cre&longs;cunt; at verò in hoc initio &longs;unt maiora, & &longs;emper de­<lb/>cre&longs;cunt. </s></p><p type="main"> | <s>Ob&longs;erua&longs;ti iam vt puto motum per Arcum TBE e&longs;&longs;e inuer&longs;um vul­<lb/>garis funependuli; quippe in illo motuum incrementa initio &longs;unt mino­<lb/>ra, & &longs;emper cre&longs;cunt; at verò in hoc initio &longs;unt maiora, & &longs;emper de­<lb/>cre&longs;cunt. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 100.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 100.<emph.end type="center"/></s></p><p type="main"> |
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| 11. </s></p><p type="main"> | 11. </s></p><p type="main"> |
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| <s>Hinc etiam facilè determinari pote&longs;t quomodo de&longs;truatur impetus, <lb/>&longs;i proiiciatur globus per arcum EBT &longs;ur&longs;um; nam in eadem proportione <lb/>de&longs;tructur in a&longs;cendendo, qua acceleratur de&longs;cendendo; neque e&longs;t hîc <lb/>&longs;ingularis difficultas; quemadmodum enim in de&longs;cen&longs;u &longs;emper accele­<lb/>ratur per incrementa inæqualia iuxta rationem explicatam; ita in a&longs;cen­<lb/>&longs;u &longs;emper retardatur per detractiones inæquales; in de&longs;cen&longs;u quidem per <lb/>incrementa initio minora, & maiora &longs;ub finem; in a&longs;cen&longs;u è contrario <lb/>per detractiones initio maiores &longs;ub finem minores. </s></p><p type="main"> | <s>Hinc etiam facilè determinari pote&longs;t quomodo de&longs;truatur impetus, <lb/>&longs;i proiiciatur globus per arcum EBT &longs;ur&longs;um; nam in eadem proportione <lb/>de&longs;truetur in a&longs;cendendo, qua acceleratur de&longs;cendendo; neque e&longs;t hîc <lb/>&longs;ingularis difficultas; quemadmodum enim in de&longs;cen&longs;u &longs;emper accele­<lb/>ratur per incrementa inæqualia iuxta rationem explicatam; ita in a&longs;cen­<lb/>&longs;u &longs;emper retardatur per detractiones inæquales; in de&longs;cen&longs;u quidem per <lb/>incrementa initio minora, & maiora &longs;ub finem; in a&longs;cen&longs;u è contrario <lb/>per detractiones initio maiores &longs;ub finem minores. </s></p><p type="main"> |
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| <s>Hinc denique determinari pote&longs;t quantùm corpus grauitet in toto <lb/>arcu TBE; in E nihil grauitat, in T totum grauitat; igitur grauitatio in <lb/>T, &longs;eu tota e&longs;t ad grauitationem in E, vt TA ad nihil, in 5. verò vt AT <lb/>ad AT, in 4. vt AT ad AA, in B vt AT ad AS, atque ita deinceps, quæ <lb/>con&longs;tant ex dictis. </s></p><p type="main"> | <s>Hinc denique determinari pote&longs;t quantùm corpus grauitet in toto <lb/>arcu TBE; in E nihil grauitat, in T totum grauitat; igitur grauitatio in <lb/>T, &longs;eu tota e&longs;t ad grauitationem in E, vt TA ad nihil, in 5. verò vt AT <lb/>ad AT, in 4. vt AT ad AA, in B vt AT ad AS, atque ita deinceps, quæ <lb/>con&longs;tant ex dictis. </s></p><p type="main"> |
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| <s>Iu&longs;uper ob&longs;erua corpus graue incumbens arcui TBE, per varias lineas <lb/>po&longs;&longs;e pelli, vel trahi, de quibus idem pror&longs;us dicendum e&longs;t, quod dictum <lb/>e&longs;t in Th.5. & Sch.Th.16. </s></p><p type="main"> | <s>In&longs;uper ob&longs;erua corpus graue incumbens arcui TBE, per varias lineas <lb/>po&longs;&longs;e pelli, vel trahi, de quibus idem pror&longs;us dicendum e&longs;t, quod dictum <lb/>e&longs;t in Th.5. & Sch.Th.16. </s></p><p type="main"> |
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| <s>Adde quod omi&longs;unus, &longs;ed facilè ex dictis lib. | <s>Adde quod omi&longs;imus, &longs;ed facilè ex dictis lib. |
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| 1. intelligi pote&longs;t, im­<lb/>petum qui producitur in acceleratione motus per planum inclinatum <lb/>e&longs;&longs;e imperfectiorem ex duplici capite; primò ratione minoris temporis, <lb/>quo producitur ex ratione maioris vel minoris inclinationis, &longs;eu longi­<lb/>tudinis. </s> | 1. intelligi pote&longs;t, im­<lb/>petum qui producitur in acceleratione motus per planum inclinatum <lb/>e&longs;&longs;e imperfectiorem ex duplici capite; primò ratione minoris temporis, <lb/>quo producitur ex ratione maioris vel minoris inclinationis, &longs;eu longi­<lb/>tudinis. </s> |
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| <s>v.g. <!-- REMOVE S-->&longs;it planum inclinatum AC; certè cum po&longs;t motum per A <lb/>E, & per AB &longs;it æqualis ictus vel impetus; & cùm tempus quo de&longs;cendit <lb/>per AE &longs;it duplum temporis, quo de&longs;cendit per AB; certè &longs;ingulis in&longs;tan­<lb/>tibus, quibus durat motus per AC, producitur impetus &longs;ubduplus tan-<pb xlink:href="026/01/265.jpg" pagenum="233"/>tùm in perfectione illius, qui producitur per AB; &longs;i enim æqualis perfe­<lb/>ctionis; igitur impetus po&longs;t de&longs;cen&longs;um per AC e&longs;&longs;er duplus illius qui ha­<lb/>betur in B po&longs;t de&longs;cen&longs;um per AB; &longs;i autem e&longs;&longs;er minor &longs;ubduplo; igitui <lb/>in C, vel impetus e&longs;&longs;et minor quam in B contra hypothe&longs;im; igitur debet <lb/>&longs;ubduplus; igitur duplò plures &longs;unt gradus impetus in C quàm in B, cùm <lb/>&longs;cilicet &longs;inguli gradus impetus in B æquiualeant duobus impetus in A: <lb/>his adde aliqua breuia Corollaria, quæ qui&longs;que ex dictis facilè colligere <lb/>poterit. </s> | <s>v.g. <!-- REMOVE S-->&longs;it planum inclinatum AC; certè cum po&longs;t motum per A <lb/>E, & per AB &longs;it æqualis ictus vel impetus; & cùm tempus quo de&longs;cendit <lb/>per AE &longs;it duplum temporis, quo de&longs;cendit per AB; certè &longs;ingulis in&longs;tan­<lb/>tibus, quibus durat motus per AC, producitur impetus &longs;ubduplus tan-<pb xlink:href="026/01/265.jpg" pagenum="233"/>tùm in perfectione illius, qui producitur per AB; &longs;i enim æqualis perfe­<lb/>ctionis; igitur impetus po&longs;t de&longs;cen&longs;um per AC e&longs;&longs;et duplus illius qui ha­<lb/>betur in B po&longs;t de&longs;cen&longs;um per AB; &longs;i autem e&longs;&longs;et minor &longs;ubduplo; igitur <lb/>in C, vel impetus e&longs;&longs;et minor quam in B contra hypothe&longs;im; igitur debet <lb/>&longs;ubduplus; igitur duplò plures &longs;unt gradus impetus in C quàm in B, cùm <lb/>&longs;cilicet &longs;inguli gradus impetus in B æquiualeant duobus impetus in A: <lb/>his adde aliqua breuia Corollaria, quæ qui&longs;que ex dictis facilè colligere <lb/>poterit. </s> |
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| </p><p type="main"> | </p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Corollarium<emph.end type="italics"/> 2.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Corollarium<emph.end type="italics"/> 2.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s>Secundò, impetus po&longs;&longs;e in infinitum decre&longs;cere perfectionem quod <lb/>primò conftat ex eo, quòd infra horizontalem po&longs;&longs;int duci lineæ minùs <lb/>& minùs inclinatæ: &longs;ecundò ex eo, quòd po&longs;&longs;int inter quamlibet inclina­<lb/>tam deor&longs;um rectam, & &longs;uperficiem orbis terræ de&longs;cribi infiniti orbes, <lb/>quorum centrum &longs;it &longs;upra centrum terræ, quorum arcus initio faciunt <lb/>rainorem, & minorem inclinationem. </s></p><p type="main"> | <s>Secundò, impetus po&longs;&longs;e in infinitum decre&longs;cere perfectionem quod <lb/>primò con&longs;tat ex eo, quòd infra horizontalem po&longs;&longs;int duci lineæ minùs <lb/>& minùs inclinatæ: &longs;ecundò ex eo, quòd po&longs;&longs;int inter quamlibet inclina­<lb/>tam deor&longs;um rectam, & &longs;uperficiem orbis terræ de&longs;cribi infiniti orbes, <lb/>quorum centrum &longs;it &longs;upra centrum terræ, quorum arcus initio faciunt <lb/>minorem, & minorem inclinationem. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Corollarium<emph.end type="italics"/> 3.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Corollarium<emph.end type="italics"/> 3.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Corollarium.<emph.end type="italics"/> 4.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Corollarium.<emph.end type="italics"/> 4.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s>Quartò, quid mirabilius quam ad idem punctum contactus po&longs;&longs;e du­<lb/>ci infinitos circulos quorum arcus omnes in ca&longs;dem partes incuruan­<lb/>tur, licèt &longs;int infiniti? </s> | <s>Quartò, quid mirabilius quam ad idem punctum contactus po&longs;&longs;e du­<lb/>ci infinitos circulos quorum arcus omnes in ea&longs;dem partes incuruan­<lb/>tur, licèt &longs;int infiniti? </s> |
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| <s>quia &longs;umpto termino in eodem puncto contactus <lb/>omninò a&longs;cendant &longs;cilicetij, qui maiores &longs;unt orbe terræ, & infiniti, qui <lb/>de&longs;cendunt, ij &longs;cilicet qui minores &longs;unt; & vnicus tantùm medius, qui <lb/>nec a&longs;cendat nec de&longs;cendat, qui e&longs;t orbis terræ. </s></p><p type="main"> | <s>quia &longs;umpto termino in eodem puncto contactus <lb/>omninò a&longs;cendant &longs;cilicetij, qui maiores &longs;unt orbe terræ, & infiniti, qui <lb/>de&longs;cendunt, ij &longs;cilicet qui minores &longs;unt; & vnicus tantùm medius, qui <lb/>nec a&longs;cendat nec de&longs;cendat, qui e&longs;t orbis terræ. </s></p><p type="main"> |
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| <s><emph type="italics"/>MOtus reflexus e&longs;t reditus mobilis ratione corporis impedientis primam <lb/>lineam motus.<emph.end type="italics"/></s></p><p type="main"> | <s><emph type="italics"/>MOtus reflexus e&longs;t reditus mobilis ratione corporis impedientis primam <lb/>lineam motus.<emph.end type="italics"/></s></p><p type="main"> |
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| <s>Hæc definitio e&longs;t clara; dicitur reditus, quia reuerâ mobile, quod re­<lb/>percutitur, &longs;eu roflectitur, qua&longs;i redit, &longs;eu retrò agitur; &longs;iue id fiat per <lb/>eandem lineam, quâ appul&longs;um fuit; &longs;iue per aliam: &longs;ic pila in murum <lb/>impacta reflecti dicitur, ita vt eius linea frangatur in ip&longs;a muri &longs;uperfi­<lb/>cie, quod duobus tantùm modis fieri pote&longs;t: primò &longs;ine angulo, vt cum <lb/>redit mobile per eandem lineam, per quam priùs acce&longs;&longs;erat, &longs;icque linea <lb/>reflexionis opponi videtur ex diametro lineæ incidentiæ. </s> | <s>Hæc definitio e&longs;t clara; dicitur reditus, quia reuerâ mobile, quod re­<lb/>percutitur, &longs;eu reflectitur, qua&longs;i redit, &longs;eu retrò agitur; &longs;iue id fiat per <lb/>eandem lineam, quâ appul&longs;um fuit; &longs;iue per aliam: &longs;ic pila in murum <lb/>impacta reflecti dicitur, ita vt eius linea frangatur in ip&longs;a muri &longs;uperfi­<lb/>cie, quod duobus tantùm modis fieri pote&longs;t: primò &longs;ine angulo, vt cum <lb/>redit mobile per eandem lineam, per quam priùs acce&longs;&longs;erat, &longs;icque linea <lb/>reflexionis opponi videtur ex diametro lineæ incidentiæ. </s> |
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| <s>Secundò cum <lb/>angulo, quòd &longs;cilicet in puncto reflexionis linea reflexionis cum linea <lb/>incidentiæ faciat angulum. </s></p><p type="main"> | <s>Secundò cum <lb/>angulo, quòd &longs;cilicet in puncto reflexionis linea reflexionis cum linea <lb/>incidentiæ faciat angulum. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Definitio<emph.end type="italics"/> 6.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Definitio<emph.end type="italics"/> 6.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="italics"/>Augulus incidentiæ e&longs;t, quem facit cum plano reflecteme linea inci­<lb/>lentiæ.<emph.end type="italics"/></s></p><p type="main"> | <s><emph type="italics"/>Angulus incidentiæ e&longs;t, quem facit cum plano reflectente linea inci­<lb/>dentiæ.<emph.end type="italics"/></s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Definitio<emph.end type="italics"/> 7.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Definitio<emph.end type="italics"/> 7.<emph.end type="center"/></s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Hypothe&longs;is<emph.end type="italics"/> 1.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Hypothe&longs;is<emph.end type="italics"/> 1.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="italics"/>Aliquod corpus in aliud cum impetn impaction reflectitur,<emph.end type="italics"/> hæc hypothe­<lb/>&longs;is certa e&longs;t. </s></p><p type="main"> | <s><emph type="italics"/>Aliquod corpus in aliud cum impetu impaction reflectitur,<emph.end type="italics"/> hæc hypothe­<lb/>&longs;is certa e&longs;t. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Hypothe&longs;is<emph.end type="italics"/> 2.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Hypothe&longs;is<emph.end type="italics"/> 2.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Hypothe&longs;is<emph.end type="italics"/> 3.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Hypothe&longs;is<emph.end type="italics"/> 3.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="italics"/>Quo motus directus, &longs;cilicet qui &longs;is per lineam incidentia, e&longs;t maior, maior <lb/>e&longs;t quoque motus reflexus<emph.end type="italics"/>; &longs;i enim maiore vi pila appellitur in parietem <lb/>mtiore vi etiam retorquctur. </s></p><p type="main"> | <s><emph type="italics"/>Quo motus directus, &longs;cilicet qui &longs;is per lineam incidentia, e&longs;t maior, maior <lb/>e&longs;t quoque motus reflexus<emph.end type="italics"/>; &longs;i enim maiore vi pila appellitur in parietem <lb/>maiore vi etiam retorquctur. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Axioma<emph.end type="italics"/> 1.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Axioma<emph.end type="italics"/> 1.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="italics"/>Idem impetus ad plures lineas determinari pere&longs;t &longs;cor&longs;um<emph.end type="italics"/>; hoc Axima <lb/>certum e&longs;t; probatum e&longs;t in libro 1. Th.113.114. &c. </s> | <s><emph type="italics"/>Idem impetus ad plures lineas determinari pere&longs;t &longs;eor&longs;um<emph.end type="italics"/>; hoc Axima <lb/>certum e&longs;t; probatum e&longs;t in libro 1. Th.113.114. &c. </s> |
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| <s>dixi &longs;eor&longs;im, nam <lb/>plures &longs;imul lineas habere non pote&longs;t per Th.115.l.1. </s></p><p type="main"> | <s>dixi &longs;eor&longs;im, nam <lb/>plures &longs;imul lineas habere non pote&longs;t per Th.115.l.1. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 3.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 3.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="italics"/>Hinc cau&longs;a motus reflexie&longs;t impetus qui ine&longs;t corpori reflexo<emph.end type="italics"/>; nec enim e&longs;t <lb/>quidquam aliud applicatum cum mobile &longs;eparatum tùm à corpore reflc­<lb/>ctente, tùm à manu proiicientis etiam moueatur; igitur nihil extrin&longs;e­<lb/>cum pote&longs;t e&longs;&longs;e cau&longs;a huius motus; igitur aliquod intrin&longs;ecum, voco <lb/>impetum; hîc diutiùs non hæreo, quia &longs;imile argumentum habes in ter­<lb/>tio libro, in quo fusè probaui requiri impetum ad motum violentum, <lb/>atqui nullus motus reflexus e&longs;t naturalis; igitur violentus vel mixtus, <lb/>igitur requirit nece&longs;&longs;ariò impetum. </s></p><p type="main"> | <s><emph type="italics"/>Hinc cau&longs;a motus reflexi e&longs;t impetus qui ine&longs;t corpori reflexo<emph.end type="italics"/>; nec enim e&longs;t <lb/>quidquam aliud applicatum cum mobile &longs;eparatum tùm à corpore refle­<lb/>ctente, tùm à manu proiicientis etiam moueatur; igitur nihil extrin&longs;e­<lb/>cum pote&longs;t e&longs;&longs;e cau&longs;a huius motus; igitur aliquod intrin&longs;ecum, voco <lb/>impetum; hîc diutiùs non hæreo, quia &longs;imile argumentum habes in ter­<lb/>tio libro, in quo fusè probaui requiri impetum ad motum violentum, <lb/>atqui nullus motus reflexus e&longs;t naturalis; igitur violentus vel mixtus, <lb/>igitur requirit nece&longs;&longs;ariò impetum. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 4.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 4.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 5.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 5.<emph.end type="center"/><!-- KEEP S--></s></p><p type="main"> |
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| <s><emph type="italics"/>Ille impetus non producitur à corpore reflectente<emph.end type="italics"/>: probatur primò, quia <lb/>omnis impetus producitur ad extra ab alio impetu per Theor. <!-- REMOVE S-->42. lib.1. <lb/>Secundò probatur, quia corpus reflectens &longs;emper produceret impetum <lb/>in alio corpore applicato; e&longs;&longs;et enim cau&longs;a nece&longs;&longs;aria; igitur nece&longs;&longs;ariò <lb/>ageret per Ax.12. lib.1. nec e&longs;t quod dicas agere tantùm po&longs;ita tali con­<lb/>ditione: hoc e&longs;t po&longs;ito moru præuio, quod &longs;atis ridiculum e&longs;t, vt iam <lb/>aliàs monui; quia conditio nihil aliud præ&longs;tat in cau&longs;a quàm applicatio­<lb/>nem &longs;ubiecti apti, in quo agat, & &longs;ubtractionem omnis impedimenti; <lb/>atqui cum proximè pila parieti adhæret, e&longs;t omninò applicata, & abe&longs;t <lb/>omne impedimentum: præterea &longs;i corpus reflectens ageret; haud dubiè <pb xlink:href="026/01/270.jpg" pagenum="238"/>&longs;i maius e&longs;t maiorem impetum produceret; nec enim agit tantùm pars, <lb/>quæ tangitur; alioqui globus qui tangit tantùm in puncto minimè re­<lb/>flocteretur; quid enim punctum agere pote&longs;t? </s> | <s><emph type="italics"/>Ille impetus non producitur à corpore reflectente<emph.end type="italics"/>: probatur primò, quia <lb/>omnis impetus producitur ad extra ab alio impetu per Theor. <!-- REMOVE S-->42. lib.1. <lb/>Secundò probatur, quia corpus reflectens &longs;emper produceret impetum <lb/>in alio corpore applicato; e&longs;&longs;et enim cau&longs;a nece&longs;&longs;aria; igitur nece&longs;&longs;ariò <lb/>ageret per Ax.12. lib.1. nec e&longs;t quod dicas agere tantùm po&longs;ita tali con­<lb/>ditione: hoc e&longs;t po&longs;ito motu præuio, quod &longs;atis ridiculum e&longs;t, vt iam <lb/>aliàs monui; quia conditio nihil aliud præ&longs;tat in cau&longs;a quàm applicatio­<lb/>nem &longs;ubiecti apti, in quo agat, & &longs;ubtractionem omnis impedimenti; <lb/>atqui cum proximè pila parieti adhæret, e&longs;t omninò applicata, & abe&longs;t <lb/>omne impedimentum: præterea &longs;i corpus reflectens ageret; haud dubiè <pb xlink:href="026/01/270.jpg" pagenum="238"/>&longs;i maius e&longs;t maiorem impetum produceret; nec enim agit tantùm pars, <lb/>quæ tangitur; alioqui globus qui tangit tantùm in puncto minimè re­<lb/>flecteretur; quid enim punctum agere pote&longs;t? </s> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 8.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 8.<emph.end type="center"/></s></p><p type="main"> |
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| <s><emph type="italics"/>Non producitur nouus impetus in re&longs;tectione pura:<emph.end type="italics"/> probatur, quia produ­<lb/>ceretur ab aliqua cau&longs;a: illa autem e&longs;&longs;et vel extrin&longs;eca, vel intrin&longs;eca; <lb/>non producitur ab vlla causâ extrin&longs;ecà per Theor.6.nec ab vlla intrin­<lb/>&longs;ecâ per Th.7. igitur à nulla; igitur nullus producitur; dixi in reflexio­<lb/>ne purâ, quia præter reflexionem fieri pote&longs;t, vt corpus reflectens mobi­<lb/>le impellat; vt cum duo globi mutuò colliduntur, vel vt &longs;it aliqua com­<lb/>pre&longs;&longs;io, quâ po&longs;itâ nouus impetus producetur; non e&longs;t tamen quòd ali­<lb/>quis dicat motum reflexum e&longs;&longs;e tantùm à compre&longs;&longs;ione; quia quò corpus <lb/>durius e&longs;t; & minùs redit, meliùs reflectitur; &longs;ic marmor à marmore fa­<lb/>cilè reflectitur. </s></p><p type="main"> | <s><emph type="italics"/>Non producitur nouus impetus in reflectione pura:<emph.end type="italics"/> probatur, quia produ­<lb/>ceretur ab aliqua cau&longs;a: illa autem e&longs;&longs;et vel extrin&longs;eca, vel intrin&longs;eca; <lb/>non producitur ab vlla causâ extrin&longs;ecà per Theor.6.nec ab vlla intrin­<lb/>&longs;ecâ per Th.7. igitur à nulla; igitur nullus producitur; dixi in reflexio­<lb/>ne purâ, quia præter reflexionem fieri pote&longs;t, vt corpus reflectens mobi­<lb/>le impellat; vt cum duo globi mutuò colliduntur, vel vt &longs;it aliqua com­<lb/>pre&longs;&longs;io, quâ po&longs;itâ nouus impetus producetur; non e&longs;t tamen quòd ali­<lb/>quis dicat motum reflexum e&longs;&longs;e tantùm à compre&longs;&longs;ione; quia quò corpus <lb/>durius e&longs;t; & minùs redit, meliùs reflectitur; &longs;ic marmor à marmore fa­<lb/>cilè reflectitur. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 9.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 9.<emph.end type="center"/></s></p><p type="main"> |
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| <s><emph type="italics"/>Hinc impetus ille, qui e&longs;t cau&longs;a motus re&longs;lexi, e&longs;t idem cum præuio con&longs;er<emph.end type="italics"/>-<pb xlink:href="026/01/271.jpg" pagenum="239"/><emph type="italics"/>uato<emph.end type="italics"/>; quia vel e&longs;t productus de nouo, vel præuius, per Th. 4. non pri­<lb/>mum per Th.8.igitur e&longs;t præuius. </s></p><p type="main"> | <s><emph type="italics"/>Hinc impetus ille, qui e&longs;t cau&longs;a motus reflexi, e&longs;t idem cum præuio con&longs;er<emph.end type="italics"/>-<pb xlink:href="026/01/271.jpg" pagenum="239"/><emph type="italics"/>uato<emph.end type="italics"/>; quia vel e&longs;t productus de nouo, vel præuius, per Th. 4. non pri­<lb/>mum per Th.8.igitur e&longs;t præuius. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 10.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 10.<emph.end type="center"/></s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 13.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 13.<emph.end type="center"/></s></p><p type="main"> |
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| <s><emph type="italics"/>Hinc non destruitur totus impetus in puncto reflexionis.<emph.end type="italics"/></s><s> Probatur primò, <lb/>quia motus reflexus e&longs;t ab impetu per Th. 3. &longs;ed non producitur nouus <lb/>impetus per Thcorema 8. igitur e&longs;t impetus, qui erat ante reflexionem <lb/>per Th.9. igitur non de&longs;truitur totus, &longs;altem per &longs;e, in puncto reflexio­<lb/>nis. </s> | <s><emph type="italics"/>Hinc non destruitur totus impetus in puncto reflexionis.<emph.end type="italics"/></s><s> Probatur primò, <lb/>quia motus reflexus e&longs;t ab impetu per Th. 3. &longs;ed non producitur nouus <lb/>impetus per Theorema 8. igitur e&longs;t impetus, qui erat ante reflexionem <lb/>per Th.9. igitur non de&longs;truitur totus, &longs;altem per &longs;e, in puncto reflexio­<lb/>nis. </s> |
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| <s>Probatur &longs;ecundò à priori; quia nunquam de&longs;truitur impetus, ni&longs;i <lb/>quando e&longs;t fru&longs;tra per Ax.3.&longs;ed corpus reflectens non facit, vt &longs;it fru&longs;trà, <lb/>quia non impedit omnem lineam motus; igitur &longs;i ad aliquam determi­<lb/>nari pote&longs;t, impetus non erit fru&longs;trà: ad quam autem determinari de­<lb/>beat, dicemus infrà. </s></p><p type="main"> | <s>Probatur &longs;ecundò à priori; quia nunquam de&longs;truitur impetus, ni&longs;i <lb/>quando e&longs;t fru&longs;tra per Ax.3.&longs;ed corpus reflectens non facit, vt &longs;it fru&longs;trà, <lb/>quia non impedit omnem lineam motus; igitur &longs;i ad aliquam determi­<lb/>nari pote&longs;t, impetus non erit fru&longs;trà: ad quam autem determinari de­<lb/>beat, dicemus infrà. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 14.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 14.<emph.end type="center"/></s></p><p type="main"> |
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| <s><emph type="italics"/>Ex hoc etiam habetur impetum non e&longs;&longs;e &longs;ucce&longs;&longs;tuum &longs;ed qualitatem perma­<lb/>nentem eamque dur are, licèt à cau&longs;a primò producente non con&longs;eruetur &longs;ed ab <lb/>alia<emph.end type="italics"/>; vt iam alias demon&longs;trauimus. </s></p><p type="main"> | <s><emph type="italics"/>Ex hoc etiam habetur impetum non e&longs;&longs;e &longs;ucce&longs;&longs;iuum &longs;ed qualitatem perma­<lb/>nentem eamque durare, licèt à cau&longs;a primò producente non con&longs;eruetur &longs;ed ab <lb/>alia<emph.end type="italics"/>; vt iam alias demon&longs;trauimus. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 15.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 15.<emph.end type="center"/></s></p><p type="main"> |
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| <s>In omni reflexione determinatur noua linea motus; clarum e&longs;t, quia <lb/>non e&longs;t motus &longs;ine linea determinata, vt patet; &longs;ed non remanet prior <pb xlink:href="026/01/272.jpg" pagenum="240"/>linea; igitur e&longs;t noua, igitur illa determinatur; cur enim potiùs, quàm <lb/><gap/>ctur vna. </s></p><p type="main"> | <s>In omni reflexione determinatur noua linea motus; clarum e&longs;t, quia <lb/>non e&longs;t motus &longs;ine linea determinata, vt patet; &longs;ed non remanet prior <pb xlink:href="026/01/272.jpg" pagenum="240"/>linea; igitur e&longs;t noua, igitur illa determinatur; cur enim potiùs, quàm <lb/>alia, ni&longs;i determinarectur vna. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 16.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 16.<emph.end type="center"/></s></p><p type="main"> |
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| <s><emph type="italics"/>Non determinatur à puncto contactus <expan abbr="tamũm">tamumm</expan><emph.end type="italics"/>; quia ab eodem puncto <lb/>plures lineæ reflexionis procedere po&longs;&longs;unt; non à linea incidentiæ tan­<lb/>tùm; quia &longs;i tantillùm inclinetur planum eadem linea incidentiæ pote&longs;t <lb/>habere diuer&longs;as lineas reflexionis; non determinatur <expan abbr="deniq;">denique</expan> ab ip&longs;o plano <lb/>inclinato quod diuer&longs;as lineas reflectit; non determinatur, inquam, ab <lb/>his omnibus &longs;eor&longs;im &longs;umptis, vt patet, &longs;ed ab omnibus coniunctim: <lb/>quippe ab his determinatur linea motus, ex quibus po&longs;itis, & applicatis <lb/>nece&longs;&longs;ariò &longs;equitur; &longs;ed ex applicatione i&longs;torum omnium &longs;eor&longs;im non &longs;e­<lb/>quitur talis linea; quæ tamen &longs;equitur ex applicatione omnium coniun­<lb/>ctim, vt patet; igitur ab his coniunctim &longs;umptis determinatur linea. </s></p><p type="main"> | <s><emph type="italics"/>Non determinatur à puncto contactus <expan abbr="tamũm">tamtum</expan><emph.end type="italics"/>; quia ab eodem puncto <lb/>plures lineæ reflexionis procedere po&longs;&longs;unt; non à linea incidentiæ tan­<lb/>tùm; quia &longs;i tantillùm inclinetur planum eadem linea incidentiæ pote&longs;t <lb/>habere diuer&longs;as lineas reflexionis; non determinatur <expan abbr="deniq;">denique</expan> ab ip&longs;o plano <lb/>inclinato quod diuer&longs;as lineas reflectit; non determinatur, inquam, ab <lb/>his omnibus &longs;eor&longs;im &longs;umptis, vt patet, &longs;ed ab omnibus coniunctim: <lb/>quippe ab his determinatur linea motus, ex quibus po&longs;itis, & applicatis <lb/>nece&longs;&longs;ariò &longs;equitur; &longs;ed ex applicatione i&longs;torum omnium &longs;eor&longs;im non &longs;e­<lb/>quitur talis linea; quæ tamen &longs;equitur ex applicatione omnium coniun­<lb/>ctim, vt patet; igitur ab his coniunctim &longs;umptis determinatur linea. </s></p><p type="main"> |
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| <s>Dices, linea incidentiæ non e&longs;t ampliùs, quando linea reflexionis <lb/>determinatur; igitur non pote&longs;t illam determinare. </s> | <s>Dices, linea incidentiæ non e&longs;t ampliùs, quando linea reflexionis <lb/>determinatur; igitur non pote&longs;t illam determinare. </s> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 19.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 19.<emph.end type="center"/></s></p><p type="main"> |
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| <s><emph type="italics"/>Corpus reftectens plùs, vel minùs impedit motum ratione diuer&longs;æ appul&longs;io­<lb/>nis:<emph.end type="italics"/> probatur, quia motus reflexus aliquando e&longs;t maior, aliquando e&longs;t <lb/>minor, de quo infrà. </s></p><p type="main"> | <s><emph type="italics"/>Corpus reflectens plùs, vel minùs impedit motum ratione diuer&longs;æ appul&longs;io­<lb/>nis:<emph.end type="italics"/> probatur, quia motus reflexus aliquando e&longs;t maior, aliquando e&longs;t <lb/>minor, de quo infrà. </s></p><p type="main"> |
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| <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 20.<emph.end type="center"/></s></p><p type="main"> | <s><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 20.<emph.end type="center"/></s></p><p type="main"> |
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