[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 298
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: 0.84.
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The machine reads it as
- E E O R F M A L A
- ad differentiam FB, EIB; de PA ad difterenriam GB, F. B; dc E A ad difterentiam FB, DB.
- EE(IPTOTTAHANTELICK, LEIP, EIBP, CrUNEFIANBIIa HCB, TIKP Cimilia: Sunc enim an
- suli HCB, EIKP, ille in cenero, hiC in CIrCUFCFENEIA, a quales, _ angulus CHBCOn
- munis urrique, ergo ecreliquus reliquo aequalis erir. Ca GITuTUEC FIadHIB, ita II K d
- HIP, Csaurem HIP dupla ip lius FIB, angulusenim LBP aequalis est anguloLIII, de anst
- lusBPTangulo BHIC, ilolcelesigirur estcriangulum BIP, X crura BP, BF, id est BP, Bt
- equalia. Non cransear jam diamerer per sectiones aequales, Ce d inrer lectiones circunt
- Ferencium secer in B puncto: ductis ur lupra rectis , AL, VBI.
- 298
- Guoniam circumferentia G AR,
- ACHI Cunc aequales, (aequalibus po
- Eris sexmenris AH, OFL) crunE d
- Tubcensae AII, K C aequales: est que
- uc prius, angulus ABC aquali c
- quem Facie subrensa cuivis periph
- rix aquali cum diaeerO, d GR
- aequalis angulo in centro. Iolcele
- igicur eric criangulum GK P, simile
- ei quod hc a duabus semidiametris, c
- recta uni cequalium SeBMENEOTUI
- Tubrensa: uE igirur CemidIAMeTCFA
- Subrentam dictam, ira HG id est AL
- ad C P. Es aurem BP aequalis iplo
- BI, nam in quadeilatero inlcripec
- KCBL, erune anguli exteriores PBI.
- BIP equales incerioribus OHI, ROB
- estigitur eriangulum BIP ilo(celes, l
- milerriansulo OHP, laceraque BI, B
- aequalia. AE uc semidiamerer ad subrentam parri aequali, ica ex hic quoque BF) ad dita
- renciam AC, AI: es enimangulus BEIK, aequalis eiqui st a diamerro et subcenla cult
- legmento aequali, ec angulus HBF, aequalis angulo in cencro sectionum aequalium
- insistenti. unde rriangulum BMFLilosceles erie, eique simile criangulum FKM, iia que l
- radius ad subrenlam cuiris segmentorum aequalium, ita BLL ad FMI differenciam seda
- rUI HIK, KP; est aurem HK aequalisips AL, (sune enim (CBIMENEA AK, II I aequalia) qu
- bus addiro communi HL, hune K III. AK I aqualia, ec H P a qualisipli AC, nam les viett
- AIE, FC, ponuntur aequalia, quibusaddico communi AF, BUNER AF, AFC. aequalia. L
- demque modo ira AG velHF ad FM distetEntIAM RECTAtUM BF, BM vel BFI. Quodet
- demonstrandum.
- P N E O R E M A 1X.
- Situerine criansula rectangula aequalis hyporenula, quorum primi all
- sulusacurus sic in submulciplaratione ad ansulosacuros tuccedentium
- dine criangulorum, ad acutum videlicet se cundi subduplus, certii sube
- plus, quarri lubquadruplus, e co continuo ordinc: construatnr auremte
- ries rectarum concinue proxortionalium, quarum prima sicx qualis len
- lixporenulae, secunda perpendiculo ansuliprimi, inter succedentes conta
- nue proportionales e succedentium rriangulorum bales ac perpendicula
- HXC CTIEXqUALITAS.
- erima bis, minus tertia continue proporcionalium, erit xqualis bau
- trianguli secundi.
- Secunda ter, minus quarta, perpendiculo trianguli certii.
- Primabis, minus tertia quater, plus quinta, bali trian suli quart.
- Secundaquinquies, minus quarca quinquies, plus sexta, perpendicuta
- criansuli quinci.
- Prima
- Prima
- Buli
- decun
- lara,
- Prima
- adnon
- Decun
- parane
- T ICd
- LCIC.
- dle se
- dle
- Ecrian
- elio
- Ldleo
- ipsi
- X
- 2e. in
- 1
- 2e
- epri
- Scrian
- epend
- 149
- leoin
- M
- Iporen
- pperime
Cite
[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 298. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0304?run=74