| version 1.30, 2003/03/08 22:31:52 |
version 1.31, 2003/03/08 22:39:28 |
| |
| <s id="id.2.1.17.5.1.18.0"> Quoniam autem mixtus angulus CLD <pb n="11" xlink:href="036/01/035.jpg"/>æqualis e&longs;t angulo CDA, cùm à &longs;emidiametris, eademq; circumfe<lb/>rentia contineantur; & angulus C<emph type="italics"/>L<emph.end type="italics"/>S angulo CDS e&longs;t minor; <lb/>erit reliquus <emph type="italics"/>s<emph.end type="italics"/>LD reliquo SDA maior. </s> | <s id="id.2.1.17.5.1.18.0"> Quoniam autem mixtus angulus CLD <pb n="11" xlink:href="036/01/035.jpg"/>æqualis e&longs;t angulo CDA, cùm à &longs;emidiametris, eademq; circumfe<lb/>rentia contineantur; & angulus C<emph type="italics"/>L<emph.end type="italics"/>S angulo CDS e&longs;t minor; <lb/>erit reliquus <emph type="italics"/>s<emph.end type="italics"/>LD reliquo SDA maior. </s> |
| <s id="id.2.1.17.5.1.19.0"> quare circumferentia <lb/>DA, hoc e&longs;t de&longs;cen&longs;us ponderis in D propior erit motui natu­<lb/>rali ponderis in D &longs;oluti, lineæ &longs;cilicet DS, quàm circumferen<lb/>tia LD lineæ LS. </s> | <s id="id.2.1.17.5.1.19.0"> quare circumferentia <lb/>DA, hoc e&longs;t de&longs;cen&longs;us ponderis in D propior erit motui natu­<lb/>rali ponderis in D &longs;oluti, lineæ &longs;cilicet DS, quàm circumferen<lb/>tia LD lineæ LS. </s> |
| <s id="id.2.1.17.5.1.19.0.a"> minus igitur linea CD ponderi in D reniti­<lb/>tur, quàm linea CL ponderi in L. </s> | <s id="id.2.1.17.5.1.19.0.a"> minus igitur linea CD ponderi in D reniti­<lb/>tur, quàm linea CL ponderi in L. </s> |
| <s id="id.2.1.17.5.1.19.0.b"> linea ideo CD minus &longs;u&longs;tinet, <lb/>quàm CL; pondu&longs;q; magis liberum erit in D, quàm in L: <lb/>cùm pondus naturaliter magis per DA moueatur, quàm per LD. <lb/>quare grauius erit in D, quàm in L. &longs;imiliter o&longs;tendemus CA <lb/>minus &longs;u&longs;tinere, quàm CD: pondu&longs;q; magis in A, quàm in D li-<lb/>berum, grauiu&longs;q, e&longs;&longs;e. </s> | <s id="id.2.1.17.5.1.19.0.b"> linea ideo CD minus &longs;u&longs;tinet, <lb/>quàm CL; pondu&longs;q; magis liberum erit in D, quàm in L: <lb/>cùm pondus naturaliter magis per DA moueatur, quàm per LD. <lb/>quare grauius erit in D, quàm in L. &longs;imiliter o&longs;tendemus CA <lb/>minus &longs;u&longs;tinere, quàm CD: pondu&longs;q; magis in A, quàm in D li­<lb/>berum, grauiu&longs;q, e&longs;&longs;e. </s> |
| <s id="id.2.1.17.5.1.20.0"> Ex parte deinde inferiori ob ea&longs;dem cau&longs;as, <lb/>quò pondus propius fuerit ip&longs;i G, magis detinebitur, vt in H ma<lb/>gis à linea CH, quàm in K à linea CK. nam cùm angulus CHS <lb/>maior &longs;it angulo CkS, ad rectitudinem magis appropinquabunt <arrow.to.target n="note34"></arrow.to.target><lb/>&longs;e &longs;e lineæ CHHS, quàm Ck kS; atq; ob id pondus magis deti­<lb/>nebitur à CH, quàm à Ck &longs;i enim CH HS in vnam conuenirent <lb/>lineam vt euenit pondere exi&longs;tente in G; tunc linea CG totum &longs;u<lb/>&longs;tineret' pondus in G, ita vt immobilis per&longs;i&longs;teret. </s> | <s id="id.2.1.17.5.1.20.0"> Ex parte deinde inferiori ob ea&longs;dem cau&longs;as, <lb/>quò pondus propius fuerit ip&longs;i G, magis detinebitur, vt in H ma<lb/>gis à linea CH, quàm in K à linea CK. nam cùm angulus CHS <lb/>maior &longs;it angulo CkS, ad rectitudinem magis appropinquabunt <arrow.to.target n="note34"></arrow.to.target><lb/>&longs;e &longs;e lineæ CHHS, quàm Ck kS; atq; ob id pondus magis deti­<lb/>nebitur à CH, quàm à Ck &longs;i enim CH HS in vnam conuenirent <lb/>lineam vt euenit pondere exi&longs;tente in G; tunc linea CG totum &longs;u<lb/>&longs;tineret' pondus in G, ita vt immobilis per&longs;i&longs;teret. </s> |
| <s id="id.2.1.17.5.1.21.0"> quò igitur <lb/>minor erit angulus linea CH, & de&longs;cen&longs;u ponderis &longs;oluti, &longs;cilicet <lb/>HS contentus, eò minus quoq; eiu&longs;modi linea pondus detinebit. </s> | <s id="id.2.1.17.5.1.21.0"> quò igitur <lb/>minor erit angulus linea CH, & de&longs;cen&longs;u ponderis &longs;oluti, &longs;cilicet <lb/>HS contentus, eò minus quoq; eiu&longs;modi linea pondus detinebit. </s> |
| <s id="id.2.1.17.5.1.22.0"> <lb/>& vbiminus detinebitur, ibi magis liberum, grauiu&longs;q; exi&longs;tet. </s> | <s id="id.2.1.17.5.1.22.0"> <lb/>& vbiminus detinebitur, ibi magis liberum, grauiu&longs;q; exi&longs;tet. </s> |