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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 45, page id 797435492:0257
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine
# Lines: 28 recognised, mean confidence 0.93
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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A D ealdem parres versentium currarum, e communi quactam
LLgenerarione deductas, generales aliquor affectiones jam antea
dudum expotui, illas prxeserrim, quas a veceribus Geomerris obser-
voram specialibus, quas ipli cractane, curris applicari. Pam non
ingrarum Faccurus videor, si complures alias (abstruliores quidem
illas, at non injucundas prortus, aut inuriles) appoluero; promeo
more quam concicistime demonstratas, ca camenratione quoad po-
tero, quae cumprimis scientitica ridetur, hoc est qua nedum con-
clutionum veritarem alterit, at fonces etiam aperit, unde illa pro-
manat. Verlantur aurem praecipue gua proteremus, parrim sirca
tancentium absque calculi molestia vel fastidio investigationem si
mul ac demonstrationem expedicam (e limplicioribus nempe vulga-
tioribusque perplexiora minusque perspecta deducendo) partim cir-
ea multarum magnicudinum dimensiones, tangentium desienatarum o-
p, quam promprissime determinandas; GuX MaTerIX CIIIM PPX CC-
omerricis aliis quodammodo difficiles videntur, tum non penirus
adhuc (sicur alix quaedam) occupaeae vel exhauste sune, ad hune
laltem modum quod sciam nondum cractacx. Duin e reltigiorem aggre-
diraur, Lemmatica quxdam accunque, quorum in reliquis clarius dt
brerius ostendendis aliquem prospicimus usum, erxlibantes.
II Sit angulas rectilinens A BC, _ datum punctum D, sit i
tem linea O DO talis, ut per D ducta quavis recta D N; sit an- F16. 38.
suli lateribus incercepra M II aequalis à puncto D, e linea ODO
interceptx DO; erit linca OIdO Frporbola.
Nlam ducatur DL ad C B parallela occurrensg. ips A B in L. _
in protracta B L. CaTuEL Z =LB, ducaturq; ZS ad B C paral.
lela; item ducatur O R ad B Z. ParaHlela. Fit ob politam DO =-MVY,
eric HO = BN; eroo quum sic D H. HO:: (DL. L N:: DL