Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 215
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.90.
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The machine reads it as
- CAP. 24.
- De Geodaesia.
- de cau (a) ex ductu ejuldem aliicudinis BF in ZF C semissem
- basis Cuxe; Horum icaq. criengulorum ditferencia, quod est ip.
- cum criangulum BCB expolicum, est = E B + BF = Z P C. XBF,
- quod cancundem estacqi ZFB = = FC (hoc cA = C B) in BF.
- (NaM E B in F. C = C B,ideoque ZFB= =FC = = C B, vel
- EB = RC
- 2. D Itagi _ HOC PAEIO CMEr∞EE area XQULA.
- EEB = =EC = = CB
- XBF
- EEBABE L ZF C ABE = =CBXBF
- lis semisi alcicudinis in basin duerae.
- Scd _ idem alicer ostenditur; (ACq; cadem opera, non mon.
- do Triangulum rectangulum, quod modo dictum est, (cd e
- Trianculum quodvis rectilineum esse Paralleloerammi dimidium.) Si
- Triangulum expolicum BCB. ( Pire Rectangulum, sive acutan.
- gulum, Eire obcutangulum) super basi BB consticurum (ica
- nempeut perpendicularis a verrice cadar inera Triangulum)
- inscribatur Parallelogrammo Rectangulo super eadem bale,
- eandem icem alcicudinem habenei cum ipso criansulo, nempe
- DB. Cum enim criangula rectangula C AB, C. AB, sinc sigilla-
- eim aequalia lemissibus parallelogrammorum AD, AN; erie de
- aegreparum illorum, hoc est, Triangulum eC B, Cemissi eorius
- DB Paralleloerammi (ex duobus AI, As, 28BreBaTI) X-
- quale.
- Sin extra criangulum cadac perpendicularis (quod in crian-
- sulo Obculangulo teri posse diximus) illud idem ostenditur
- hoc pacto. Compleco parallelogrammo eCBy (ductis nem-
- De B7, B7. laceribus crianguli BC, BC, Parallelis) erune duo
- criangula BCA, B76, inricem limilia e aequalia, et Propterea
- ucrumris, parallelogrammi Pemislis: Ac parallelogranmum
- illud aequacur rectangulo, alcicudine BF vel zB, _ baHC Bvet
- B7, comprehento (uc supra osensum eMt) ergo Triangulum
- ejuldem Cemissi rguatUE: nempe Temilli quarticatis FactX ex
- ductu basis C B in alcicudinem BF, vel quancitati FaCtX eX
- ductu lemissis balis in eocam alcicudinem; vel Pemistis alcicudinis
- neoram balin; quae omnia cancundem valene; quirre
- CB
Cite
Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 215. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0261?run=74