[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 316
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: 0.88.
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The machine reads it as
- 316
- alta, ex lingulariatacta hiomogenea distribuuntur in duaspartes succellire.
- uerobique primum adtirmata, deindenegata, et harumprimx parti limilis
- tcbasis secundi, perpendiculum religux.
- Sic in ratione duplaitrporenula le cundi Ac limilis quadrato hypotenulae
- primis seu aliter adsregato quadratorum à lateribus circa rectum; balis dit
- ferentia; perpendiculum duplo sub pra dictis laceribus rectanoulo.
- In rarione cripla: lyporenula se cundi sirlimilis cubo hyporenulx primis
- baliscubobalis primi, minus (olidorer sub quadrato perpen diculiprimic
- balcejuldem; perpendiculum limile solido Ter sub perpendiculo primi et
- quadrato balis ejuldem, minus cubo perpendiculi.
- In ratione quadrupla; hyporenula se cundi tic similis quadeato. quadrato
- hyporenula primisbalis quadraco. quadraco balisprimi minus plano. plano
- Sexies sub quadrato perpendiculi primi ec quadrato balis ejusdem, plus
- Quadraco. quadraro perpendiculi; perpendiculum simile plano. plano qua
- ter sub perpendiculo primi e cubobalisejuldem, minus plano. plano qua
- cer sub cubo perpendiculi primi e balc ejuldem.
- In ratione quincuplas liyporenula secundi sir similis quadrato. cubolr.
- Pocenux primis basis limilis quadrato- cubo balisprimi, minus plano. (ol.
- do decies lub cubo perpendiculi primi ex quadraro balis ejusdem, pluspla
- n0- solido quinquies sub perpendiculo primi ec quadrato. Quadrato balis
- ejuldem; perpendiculum plano solido quinquies lub quadrato- quadrato
- perpendiculi primi e basc ejuldem, minus plano:Polido decies sub quadra-
- coperpendiculi ee cubo balisejuldem. plus quadrato. cubo balis ejusdem.
- Frianguli re Cranguli de angulo acuro enunciandi proponatur hyporenula Z, ba(isD,
- perpendiculum B. Er oporrear constiruere rriangula rectangula anguli dupli, cripli, qua
- drupli, quincupli, ac.
- Aderiangulum anguli dupli sic hyporenu (a similis Z. quadrato. BaLISD quadrato, mL
- nus B quadraco. Perpendiculum B in D 2.
- Ad eriangulum anguli eripli sc hyporenusa similis Z cubo. BalisD cubo - B quadt
- in D3. Perpendiculum B in D quad. Z = B cab0.
- Aderiangulum ansuli quadruxli sichyporenusa similis Z quad. - quad. Balis D quadc.
- quad. = B quadr. in D quadr. 6 + B quad. quad. Perpendiculum B in D cub. 4
- cubo in D 4.
- Aderiangulum anguli quincux li sic hyporenula similis Z. quadr. cub o. Balis D quad
- cubo =B quad. in D cub. 10. + B quad. - quad. in D 5. Perpendiculum B in D quacta
- quad. 5 - B cub. in D quad 10 + B quad. - cub0.
- eroponatur crianeulum rectangulum cujus basis 20. perpendiculum 1. e angulus acurus eju sdetta
- telligatur simplus
- AD A DR. ROMANE PROBE EM A
- Ad trianculum anguli dupli, statuerur basis 99. perpendiculum 20.
- Ad triangulum anguli cripli, staruetur basis 970. perpendiculum 299.
- Aderiangulum anculi quadrupli, Rtatuetur basis940r. perpenunuuM 3960.
- ad triangulum anguli quincupli, scaruerur sufts 9006. perpendiculum 490Or.
- Et cum angulus acutus primi erianguli deprehendetur esse
- e AR. Sc+
- YP.
- L anoun abutus scluntat L2
- terrii
- quarei 22
- ed la
- 0
- Cum aurem factorum nequie fieri suberactio, argumenium est angulum mulciplum esse docu su, C
- quinei 28
- que casu nihilominus excessus factorum adsienabieur lateri, es angulus subrensus intellicetur exrer
- multipu.
- A LFFE R.
- ditue
- Curus (
- Cer
- sec
- ATer
- aqu
- S(C
- IU
- PI
Cite
[Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica, fol. 316. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/845634801:0322?run=74