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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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DE SEOTIONTBUS
Cap. IV.
Ouadrantem (seu iplarum Z F. XcesuS Supra Ouadrancem) est . 8: Cujus icague
Subrenta est Y: 5 FV5: = Y: 3 - Y5: B, seu 2 V: 5 = Y5: = Y 10 + 12,
Hujusque ad Semi circumterentiam Resduum est 3; Cujus Subrenta isicur est
R, 4 F Y: 20-15:, (eu RV: 2 + v 3 15. Nam, hujusmodi casibus, idem
valor porest variis Formis designari. (Oux omnia computando Facile prohentur,
Sicue in ancecedentibus sape tactum elt; similiaque Corollaria inde deduci.) Hlo-
rumque Relidua ad inceoram Circumterenciam (38, 18, 36, 163) caldem habent
Subten(aS.
70. Jam igicur habemus, Subrensas Arenum, porcionumre Circumterentix Lo-
immon prout lequicue;
0. 360
18. 343
36. 324
54. 306
72. 288
90. 270
108. 252
126. 23
144. 22
262, 298
180
ZI. Sin hi Arcus omnes comparentur eum Trience; corumque sic compara.
eorum Summa et Ditterentia obserrencur: Flabebimus inde Subcensas acthuc plu.
rimaS; Dex ea quX tracuntur 5 15, 47 Cap. 2. Verbi sracia,
72. Ponamus Subientam pracduum 72, A = R Y ; ee Subientam Bra.
duum 48 (= +20 -72) E. TUm (per 5 L5. Cap. 2.) A 9 f AF f F9 = 3R9:
Adeoque AF F E 9 = 3Rg = A 9. FF (Relolvendo AAquarionem) V: à A4
+ 3Rg = Ag: (= Y: 3R9 - ZAg:) = = A = F.
23. Sed A = R V
ec Ag -
ER9. ErGO L = Y: 3R4 - 3
49: - : 4 - 1: 2 t 313 29: = v: =- 5: R9: -
V.  + 315: Y: 5- 15: -
r: 18 + 675: - r: 20 - 215: p- Y 15. f 13-1: 20-215:R, Subrenta
Eractuum 48, adéoque praduum 312.
24. Similicer: FAo (Ut prius) A Tubrenta practuum 72; de Z. Tubrenta pra.
duum 292 (= x20 + 72.) Tum (per 547. Cap. 2.) Z. 9 = AL. f A9 = 3R9:
EFZ.9 = AL. = 3Rg- A9. FL (helolvendo Aquationem) V. 3 R9- 3A9:
+ 3A
V: 3 + Y5: = Y: 5 = 15: x
=2X
Y. 5 + Y5: = Y. 3- 15x
R V 5= V2
a V 2
F21
L Y4 + Y: 20 -215:
5 + 15
R , 4 F Y: 10 + 215.
d2