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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 57, page id 797435492:0277
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=277
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# Lines: 36 recognised, mean confidence 0.86
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P E CT. VTI
discursu estDA X Z D =- DMI X RD = MIO X RD. GuAPrOPTeE
erIEMNXSD. MOZRD:: TD -SD. FD = RD. hoc eAt E15. 63.
LOXSD. RCXRD:: TD --SD. TD = RD; vel (ad equa-
tionem redigendo) L GXSD XTD --LOK SD XRD =ROX
RD XTD = RCXRDX SD; transponendoque L C XS DK
TD - L RG X RDKSD = LOXSDFRD = RO KRDXTD.
hOC eALO XSDX FD -L K L XSD X RD = R G K RDXTD.
vel (ad analoxismum reducendo) LC x TD. J. R. L X RD: R C X
FD:: RD. SD. Quod erat Propolitum.
V. Ouod Si puncta Y, R non ad caldem puncti D partes sita sine, Fi8. 64.
CNAE L. GX RD =- RL XTD. ROKYD:: RD. SD.
Simili constabit id discurtu; quem piget repetere.
VI. Sinc quatuor concinue proporrionalium series xguinumerx (qua:
les adscripeas cernis) quarum cum anrecedentes primi, cum ulcimi conse-
quentes inter se proporrionales lint (A . a:: M. H; _CF. 8:: 5. 8)
erum ejusdem ordinis quilibet accepri quatuor etiam inter se proporrio.
neles (putanempe, l. S::P. X).
A. B. C. D. F. F.
a 6. y. 8. 1. P.
M. N. O. P. R. 50
. V. 0. X. 8. 5.
Sune enim AF, BV, CO, DX, F. 8, F5,
Continue prOPOF.
_ a. M, CH, 3O, SP, cR, PS, S tionales.
Cumigitur SIE AU, = aM; _CF8 = e5, liquidum est ForeDX
=sP; dc ideircoD. S:: P. r. Adutramque proportionalitatem
(tam Arichmericam quam Geomerricam) aeque spectat haec COn-
clulio.
VIL. Lelca 15B C Pacalta de maesue hecc porc daca
BD; linCa verO FBF; F B F ita relarx lint, ue ducta utcunque L1B. 65.
recta P Cad D B parallel3; sit sempex P P eodem ordine media pro-
portionalis inter PG, P F. tum per quodris designatum linea F B F.
punctum P. transcat FI F ipsis AB. CD parallela, sirque alia eurra
R E K ralis, uc duct â urcunque L iridem ad DB Parallela, sIt C X
codera