Marci of Kronland, Johannes Marcus
,
De proportione motus figurarum recti linearum et circuli quadratura ex motu
,
1648
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>In eadem figurâ, quoniam eſt ut FM ad GN, ita FH ad GI
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per theor. 12. erit
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HM ad IN, ut FH ad GI. </
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<
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>Sed FH
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eſt maior quàm GI per idem theorema: igitur & HM maior
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quam IN. </
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>Et quia HM
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IN eſt impulſus quieſcens per
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theor. 9. maior granitas quieſcet in triangulo maiori, ac proin
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de ſuum planum magis gravitabit. </
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LEMMA I
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Inclinationem plani invenire: in quo ſemidiameter figuræ motûs
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ſecetur ab hypomochlio in datâ ratione.
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<
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>Producatur latus AC in I; & ſit AI ad CI in datâ ratione:
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ex I verò per centrum figuræ D agatur linearecta IF:
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huic
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ex angulis C & A parallelæ CE. AH: quas ſecet ad angulos re
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ctos, linea ex centro ducta DH. </
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>Dico lineam DH, hoc eſt ſemi
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diametrum figuræ motûs, ſectam eſſe in datâ ratione. </
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>Ex
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F enim protrahatur linea FK parallela DH;
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FK ad FL,
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hoc eſt DH ad DG, ut AF ad EF. </
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<
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>Sed ut AF ad EF ita AI ad
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CI, hoc eſt in datâ ratione. </
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