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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 53, page id 898203430:0081
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In Fllipi autem prolata. Ouum sic pariter L. O ad O N ve L F ad 1O
veraque enim ratio est a transuersi ad rectum) converrendo NO 24 2 ibidem.
OL exit ve OY ad TI, e veraque in ratione recti ad cransuertum; de
permucando NO ad OI erit ve OL ad L. L; sed OL ad L. I est re disteren.
tis lacerum ad cransuersum (nam componendo OI ad LL. Oltendimus
modo ese ve rectum ad transuersum) ergo, de NO ad OL est re disse-
rentia laterum ad transuerlum.
2. Amplius in terria Hy perbolae, Dico NO ad OP esse ve summa la-
cerum ad cransuerlum.
Fst enim eam NO ad OL, quam OI ad IL. ve b rectum HYperbO- b ex 22. sec.
la ad eransuersum, ergo componendo eam NI. ad LO, quam O L. 1d de MaX. 8
T. I. ee quam disterentia harum erium provortionalium, nempe N O ad
DT eric ve lumma lacerum ad transuersum.
3. Denique in quinca. Dico NO ad O P esse ve summa larerum ad
rectum.
Cum enim tam NO ad OL, quam OY ad YL SIE vE C transuertum
FIrperbola ad suum rectum, componendo tam NL. ad LO, quam O Y
ad L. L. ee quam disterentix harum erium proporcionalium, lue N O ad
Ot eric re summa lacerum ad rectum.
MIm.
cibidem-
VEL LAIMLL: DLWLMILLLTOErM COHTC. LIB. L
Le L l 1dLL L 1 1.D.
EHiperbolam ABC, cuus axis eransuer sus DB, cenru L., pet ot-
 ricem bsd coaens; qua Asmpidios LF, L. secet in L, C, sintque
ex viraque parte sumpsae CHI, 6 L lateribus PF, EC aequales, atque ex 6
sit ducta CK L axi DB parallela; constat hanc necessario secare viranque
iunctarum EL, EHX, quoniam FE F. secans alteram parallelarum BF, pro-
L.l
ducta secat, e reliquam CR, 21 in L, secans prius TF. Ut in R. Si ilaque
ex X, E ordinentur ad axem rectae LN, LM, seementum ex ed abserssum
MN, (quod in sequenti minus esse transuerso axe D B, atque a centrO F
bifariam sectum demonstrabicur) dicatur MODVL VS EX ASTMPFOTO.
cuius centrum est idem punctum F.
hum rM LOLMELL.
et ti
Trianculum vero E FG, ab asymprovis, es veriicali rancente constiu
XX