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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 93, page id 1041163592:0127
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ERIMOIDTA MATETEMATLCA.
lum aequalem angulo B AD, sccundum FZ FX capiat angutum X-
qualem angulo CB D, ac tertium FVY capiac angulum aqualEM ERINOS.
angulo ACH. Describi aurem debene segmenta ad Cas parteS i1-
RCaFUM FG, FFL, F P, UE lITeTATUM FSC F idem AC ordo circula-
risquilicerarum B A D B, ucque lIECEX F T HI F eodem ordine cum
literis C B D C, dc licera FV PF eodem cum liceris AC F. A in Or-
bemredeant. Compleantur segmenta in circulos intesros, sicque L
cenerum circuli primi FSC, et 9 centrum secundi. FY FI. Junsatur
et utrinque producatur P Q ec in ca capiatur  R in ca ratione ad
Q quam habet BC ad AB. Capintur autem Q R ad caS PartCS
puncti a uc licerarum P, 8. R idem sc ordo acque licerarum
A.B, C: centroque se e interrallo R F describatur circuluS quarEUS
FNc secanS circulum tertium FV I in c. PungatUE PC ICCANS
circulum primum in a ec secundum in b. Agantur a G, bFY, CL, dc
Figurae abc FC FT TAimilis consticuatur Pigura ABC fCBi: Rritque
Prapexium fehi illud ipsum quod constituere oportebat.
Secent enim circuli duo primi FSG, FTFY se mutuo in R.
TUInSAnEuE P K, QR, RR, a KL, bK, cK, _ produCatuE G F 2d L.
Anculi ad circumferentias Fa K, FbR, FCK sunE Semisses an-
Sulorum FP K, FGK, FRR ad cenera, adeoque angulorum
illorum dimidiis L. P K, L QK, L. R R aequales. F. A ergo FigurZ
QRK Figurx abc R aequiangula e limilis, e propterea ab cst
ad bC UE F  ad Q R, id ett, ut AB ad BC. Angulis insiper Fa C
LbTZ, FCL XQUANEuE fA5, fBB, fCI per constructionem. Fr-
80 Figura abc FO FCL Figura similis ABC fehi compleri potest
Duo facto Traperium fehi consticuetur simile Prapezio LG II P.
de angulis suis f, 5, B, y Tanset rect aS ABC, AD, BD, CF
C. P.
Corol. Hinc recta duei potest cujus partes, rectis quatuOr pOsi-
tione datis dato ordine interjectae, datam habebune provortionem
ad invicem. Augeantur anguli F G FY, G FYP U(qUO COS VErCCtX FC,
GFL, FFT in directum jaceane, e in hoc calu construendo Proble.
mas ducetur recta fxhi cujus partes fe, sh, hin rectis quatuor D0.
sitione datis AB ec AD, AD e B D, BD ec C F interjecta, c.
runc ad invicem uc lineae PG, C FI, FF P, eundemque SerrabunE or-
dinem incer (c. Idem vero sic Eic expedicius.
PrOcu-
L LBEK.
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