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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
# Folio 605, page id 851708439:0629
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# Lines: 44 recognised, mean confidence 0.89
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GVI C
YT A
TVS
L LL L L LC 
Disquisitio Geometrica.
Ci A P.
Ansa e status Controversiae.
Voniam illi, quae sequitur, Controvertix an sam dedit Propolco LB Li.
bri 3Fuclidis; illam integram primum apponendam duxi, ejusque de-
monstrationis summam.
HE in capiensco TY xnAY es dedus an dugas ayoum ENTOS ESErAI rS nn   
lc raEo ro E cdcias n  eecas eea deia  nusucira y n  nuuxntu gcorta,
rons dEcias gcorias duzes pi cor 62 V. n 3 Norm Encicor.
cc Ouxe circuli diametro (AB) ad angulos rectos ab excremitate ducitur recta
a (A P) cadit extra circulum. 2. FL in lo-
a cum qui inter rectam (AP) et peripheriam
CC (DE R) incerjicitur, altera recta (ut F A)
a non cadet: 3 FF Semicirculi angulus (F. A C)
et major est omni angulo acuto rectilineo: L. RC.
ae liguus autem (P A P) minor.
aNam P S caderet perpendicularis illa intra
a circulum, ue AD (vel etiam s jaceret in ipsa
a peripheria) essent anguli D A C, ADC, aequa
a les, per sCL, ideoque uterque rectus; Contra
1 27 CT. 2Si recta PA (incer peripheriam et
ac xerpendicularem P A) cadere poNit, dueatur
a ad illam perpendicularis ex CentrO C F C; quo-
ae niam igitur angulus rectus CC A major est
a acuto C. A F ( ut qui pars et recti C AP,) elet, Pex ZDCF, latus CC minus
a quam C. A, hoc CAt, mInUS qua C F, pars Tui. ParS 3_ 4 SEGUUINEuX ex Le.
ac cunda.
Occalione sumpra ab hac Fuclidis Propolitione, graris orta cAt Controvertia
(quod mirum e, in re pure Geomerrica,) incer Peletarium ee Clarium; qua,
quod seiam, nondum unanimi Mathemaricorum consentu determinationem na-
eta est.
Primus, quod seiam, Peletarius aleruie, Angulum qui dicitur Contactus, Teu
concineentix, non esse revera Aneulum, nec omnino Quantitarem; sed Rectam,
oux Cirentum tansit, cum Peripheria coincidere, non aurem ad illam inclinari;
Anculum autem semicireuli omnino Rectum esse, e recto rectilineo aequalem.
Concra, Clarius alteric, illum vere Angulum esse, et quidem Ouancitarem in infi-
nirum divisibilem, non quidem per lineam rectam, ac laltem per Peripheriam ma-
joris circuli; minorem tamen quam est ullus rectilineus postibilis: Angulum vero
Semicirculi minorem esse ansulo recto rectilinco, majorem tamen quoris rectilinco
RCUEO.