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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)
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C
C. aP. LV
60. Subtensae Semiquintantis (Teu gradium 36.) e Sesquiquintantis (leu
Graduum 208) simul additae, possunt duincuplum Radii. (Hoc elt, Ouadrarum
Nepregati aequarur Duinque Quactaris Ractii.) Num  = R + Y5+
LR =RYS.
62. Farungue Differentia aequatur Radio. Nam V5 F = X - V5 = +
E=F
62. Farunque Rectanenlum, aquatur Duadiato Radii. Nam Y5 + 2
V5 = = p = R4.
63. Et Summa Duadratorum illarum, aequatur FTripto Quadrari Ractii; (Teu
Duadrato Lateris inseripii Frieoni.) Hoc est, 3 F VSRg. + 3= VER9 = 3Rg.
64. F.c Differentia Duadratorum illarum, porest Duincuplum Biquadrati Ra-
sii (leum aequatur duinque Diquadratis Radii.) Nam 3 F VE Rg - 3 = V R 4
=RqVS = VSR94.
65. Trem, Summa Duadratorum subtensarum Duintantis e Biguintantis, (seu
Graduum 72, _ graduum 241) est Duincupium Qundrari Racii. Nam ?- =R 9
VSR9 = 5R4.
66. Et Forundem Disserentia porest Dmincuxium Biquadrari Radii. Nam,
VS R9 -5 VER9 = RqV5 = YSR99.
67. FE Forundem Recianeulum, est duincuxium Biquadrari Ractii. Nam
ER9uS =VER9 =5R99.
58. Flabemus isitur (ut separatim demonstratum Cst) has Subtentas, his Ar.
cubus (seu porcionibus corius Circumterenrix) respondentes.
Subcentae.
RY5+ V5
Cradus. Partes tOriUS.
36. 324
72. 288
208, 252
244. 216
100.
10. 10
 cimisi methodo reperientur Subtensae parcium 10n 20, 28, 2, torius Cir-
cumserentiae, (ut et partium 33, 30, 28, 16.) Nam iptius ; Reliduum ad Oua-
drancem (auc iplarum io Fixcellus supra Ouacranem) est s; Adeoque hujus Sub.
CenTa est Y 2O = V2 =2V:5 =V.
s. 3 + 15: = 1: 5- 15. p: vel RV: 2 - p + r9
rancundem est,s
Reti.
duumque hujus ad Semicircumterentiam, est 8; Cujus ergo Subtensa est
Y 4 +. V: 10 + 215, seu RV. 2 + v  F 13. scem iplis is Residuum ad
bbbd
Oua.
A N GUL A R FB US