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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
# Folio 12, page id 1032977698:0034
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P F II VI A T A.
eum vulsarem dimentionem, r: p:: srr- bhrr.
PPTM
AP, Ecu Vrr-Bhrr SCuP, Pes LeMm. 20.
ponin
37. AnSutus ABP est aequalis ansulo B A P
_ uterguerectUS; Quod, exteris perceptis, la-
tis Patet.
38. In dato quovis triangulo A BC, FIZ VII
si exangulo B ad oppotitum latus AC proiccla
BD ablcindat DC, portionem quavis data mi-
norem, ducaturque arculus circularis, leu ipsi
aequalis recta DF iuxta LCmMI. 32, FaCiCS
B E aequalem B D; CrUNE D F _ F C quaris daca
MInOTCS.
Demonstr. Hlabene enim respectu D C relatio-
nem, Lemm. 18, exprellam.
39. Tildem potiris, si angulus A B D SIEECCFUS;
dicorriongula A B D _ D F C ForeFimilia; jux-
ta enim Lemm. 33. anzulorum BD F _ P F V
Uterque FeCtUS CA; quarC D F C (I. 13. FMCL.)
quoque rectus est, adeoque aqualis ipli A B D
exhypochest;
Secundo, ob angulum BDF rectum, exit
EDC, anculi BD A complementum ad re-
ctum, atqui (iuxta l. 32. Fucl.) ansulus B AD
ejuldem BD A complemencum est, unde FD C.
aequalis B AD, hinc a tertius A D B aequalis
DC R, quare constat propolitum.
40. DatIS (F. VL LL.) duabuS CUEVISABD, F F C.