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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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CaD. LY.
TTF, TL2,) SR99 =
tae
A N G UE A R TB U5.
N = A SRg MCq = AC9
NC -AC
M = A = L5R99 - NCq-AC
M - A
NCq - ACA = FOR99 = M g9 F M CA F M gA9 f N A c. F A99.
EC-
MI. A
TTO. EF Ccadem ratione) 5R99 =
25R99 -
N = F 5Rg-
MC9 = F. C9
M = F
MCq = EC9 = MCq = FC4 = 1OR49 = Hgq. + HOL. f H9EG
N = F.
FMEC F F 94.
M = F
720. Tiem; quia (PerS F09,) - 5R99L F5RGL C = L Cg =(R99F =
=sR9qN F5RgNC = NC9. EC (mutatis omnibus signis) SRggL
=sRgL. c = L c9 =5R99N = 5RgNC F NC9. (FAque L major quam
N.) ErBO (uE inS F1B) 5R99 =-
L. c9-Nc4
L NC F N99.
et
L.c9- 1c9
 5R9- LC9 = Hca
T2F. Suncque anguli contenti cruribus M, A; _ NTF; _E L, N: anguli er2-
duum7 2: (urpore anguli in Peripheria insistentes Arcui gradtuum 244, seu Z cir-
cumterentia. ) Fc quidem, quancum ad M, F; angulorum alter ad Balin estOb.
culus: Sec, quantum ad M, A; acuri omnes: (F0 quod hic sic angulus in majori
Scemento, ille minori, quam est Semicirculus:) d quantum ad L, N, omnes ilem
aCuri. ErSO (ut in S ZT4, XT5,
122. Disserentia Duadricuborum Crurum continentium anculum erad. 72. Di-
visa per Differentiam eorundem Crurum: Aquatur 20 Biquadratis Racii circuli
circumseripti. Et
F23. Diquadrata Crurum continentium Anculum eraduum 72: una cum Fribus
Medus proportionalibus inter ea Biquadrata: Aquantur 20 Biquadratis Radit
circuli circumseripti.
224. Verum hujus crianguli Batis (subrendens Angulo sractuum 72) est Syh
centa Biguineantis, aut Friquintantis; hoc est Z = erac. F44 auC3 = eFad. 2. 16. OUIX
est (Per 554)RV =. Hujusque Ouadracum est 5E R q; et Biquadratum
30. = 20Y5 R q9 = =5 F 5V ER 99. Ouod est, ad 10R99 ut 25 +5Y 5 ad 10i
Seu 3 F V 5 ad 4. FrSO,
725. Differentia Duadricuborum Crurum continentium angulum erad. 72. D-
visa per Differentiam corundem Crurum:; Seu, Biquadrata Crurum continentium
illum Aneulum, una cum Tribus Mediis proportionalibus inter illa Biquadrata;
Sunt, ad Biquadrarum Basis illum Anculum subtendentis, ut 4. ad 3 + Y5.
726. Trem; Guia (per 5+09,) SR99A - 5R9AC F A c9 = (R 99F =
=sRggI. FsRgL, C- LCq; (estque L major quam A:) Erso (cransponendo)
sRggL FSRg4A = 5RgL. C FSRgAC =L C9. Ac9. EL (omnibus
Per F. F A diritis) 5R99-
l.c + AC5R9- L c4 + ACG
L F B
227. Sed (per 546, 47 Cap. 2,
deoque
F A
C. C + AC = L. 9 - L. A + A9 = 3R9; 2.
+ A
L. C. F AC s R9 = 15RG9. FIBO, SR49 = 25 R90
C. + A
L. c9 F ACa = +OR49.
L. F A
228. Tcem; quia (ue Diridendo patebit
L. C9. = AC4 HoC est
LL
L eg + A Cg - 199 - L CA + 2929
= L. AC. F A 99. FrBOL.99 -L. cA F L. 9A9- L. AC F A99 = 1OR99.
+29. Sed Angulus Cruribus L, A, concencus, est gradtuum 36. (Vr qui est An.
Cccc
Sulus