dato &longs;pirarum intervallo, invenitur angulus huic intervallo tan­<lb/> quam Tangenti oppo&longs;itus, &longs;cilicet inclinatio &longs;piræ, & hypo­<lb/> thenu&longs;a tanquam eju&longs;dem anguli Secans dat ip&longs;ius lineæ &longs;pira­<lb/> lis longitudinem. </s>
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<s id="s.005625">Quod &longs;i totius lineæ &longs;piralis univer&longs;um cylindrum com­<lb/> plectentis lineam de&longs;ideras, toties peripheriam ba&longs;is multipli­<lb/> ca, quot &longs;unt &longs;pirarum circuitus, & habebis Radium; cylindri <lb/> altitudo dabit Tangentem, cui re&longs;pondens Secans indicabit to­<lb/> tius &longs;piræ integram longitudinem. </s>
<s id="s.005626">Sit ex. </s>
<s id="s.005627">gr. <!-- REMOVE S-->cylindri altitudo <lb/> ped. <!-- REMOVE S-->3. hoc e&longs;t unciarum 36. ejus diameter unciarum 7; ergo <lb/> ba&longs;is perimeter unc. </s>
<s id="s.005628">22: Spirarum circuitus &longs;int 25: igitur <lb/> ductâ perimetro 22 in 25, habetur 550 tanquam Radius, & 36 <lb/> tanquam Tangens: igitur ut unciæ 550 ad uncias 36, ita Ra­<lb/> dius 100000 ad 6545 Tangentem gr. <!-- REMOVE S-->3. m. </s>
<s id="s.005629">45. cui re&longs;pondet <lb/> Secans 100214: Quare ut 100000 ad 100214, ita unciæ 550 <lb/> ad uncias (551 177/1000) longitudinem totius lineæ &longs;piralis; quam, &longs;i <lb/> careas Canone Trigonometrico, etiam habebis ex 47. lib.
1. <lb/> addendo quadrata numerorum 550 & 36, erit enim horum <lb/> &longs;umma quadratum, cujus Radix dabit eandem quæ&longs;itam &longs;piræ <lb/> longitudinem. </s>
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<s id="s.005630">Cum autem hæc &longs;piræ longitudo, &longs;ive univer&longs;a, &longs;ive parti­<lb/> culatim a&longs;&longs;umatur, &longs;emper longior &longs;it, &longs;ivè multiplici, &longs;ivè &longs;in­<lb/> gulari perimetro circuli, qui e&longs;t ba&longs;is cylindri, utique motus <lb/> potentiæ, ejú&longs;que momentum, non ex hac &longs;pirali lineâ de&longs;u­<lb/> mendum e&longs;t; neque enim ip&longs;a e&longs;&longs;e pote&longs;t men&longs;ura motûs po­<lb/> tentiæ cylindro applicatæ ad ejus diametri extremitatem. </s>
<s id="s.005631">Hinc <lb/> e&longs;t mihi non arridere eorum &longs;ententiam, qui cochleæ vires re­<lb/> ferunt ad planum inclinatum, quod ab ipsâ lineâ &longs;pirali repræ­<lb/> &longs;entetur. </s>
<s id="s.005632">In plano &longs;iquidem inclinato momentum gravitatis, <lb/> ad eju&longs;dem gravitatis momentum in perpendiculo, &longs;e habet re­<lb/> ciprocè ut perpendiculum ad ip&longs;am lineam inclinatam; ac pro­<lb/> pterea eandem Rationem &longs;ervant conatus Potentiæ moventis <lb/> pondus aut in perpendiculo, aut in plano inclinato. </s>
<s id="s.005633">At hìc po­<lb/> tentia non movetur juxta lineæ inclinatæ longitudinem, &longs;ed <lb/> breviore motu juxta ba&longs;im trianguli rectanguli, cujus hypothe­<lb/> nu&longs;a e&longs;t ip&longs;a linea inclinata: Igitur potentiæ momentum ali­<lb/> quanto minus cen&longs;endum e&longs;t, quam pro Ratione plani inclina­<lb/> ti. </s>
<s id="s.005634">Adde momenta gravitatis ponderis alicujus tunc &longs;olùm
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