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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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SECTIOALBAS
ap. VI
6. Si A Sic gradtuum 45, seu : Recti.
Similiter oltendetur (propter B = n-
dC9 + D9 - CD V 2 =-B
+ Bd - Bu -- B in (n + d 
B
1G. Iloc Cll,
duadratum Basis, Subtendentis An-
So Stucamt 45; Niquatur duadratis
rurum Dempto corundem Lcctute  Et
V2 ducto.
7. Fe, universalicer; Onicungue (IL A
angulus; simili processu demonstrabi.
TUIT.
B9 = C9 + D9+ = CD. HOC ett
duadratum Basis trianeuli (quicunque sit angulus A in Vertice) Aiquatur
duadratis Crurum; Adchto (Si A sit recto major) vel Dempto (si recto minor)
Plano, quod sit ad Crurum Rectanulum; ut Recta (in basis linea) intercepta in
ter duas Rectas a Vertice demissas, facientes eum basis linea ansules ipsi A aequa-
B. FujuS FXchipla varia extribituti sumus in Capire sequente; ubi hoc Gene.
rale Theorema, Calibus Parclcularibus, applicatur. Ouod item ulcerius promore.
D. Datis Cireuli Racio, C duorum Areu-
um Subtensis; Datur etiam Subtensa Aecre-
sari arcuum. Sunto Aecuum illorum subtensa
datae A, F. Dantur ergo Subtentae Reliduorum
ad Semicirculum. Puta a = = V: 4 R9 - A9: _
E= V: 4Rg - F 9. Frso, inscripro Ouadrila-
tero cujus oppolita Latera Lint A, E; _F, a:
Ona Diasonalium cAt Diameter = 2R; aliera
est Subrenta Aggresati; Duta S. =
Ac. L F a
20. Fisdem datis: Datur etiam Subtensa
Differentiae datorum srcuum. Nam cognitis,
Ut DetuS, A, a; R, E; 2R: Hlabetr (rite in.
seripio Ouadrilatero.) Subrenta Disterencia;
pura X =4.
TT. Patet item, per ante cradita; Idem Eri-
angulum CPu, paricet inservire AnsuIO EIa-
duum +20, ec oradtuum 50: Iiem, Angulo gractuum 235, de graduum 45: LF (-
milites pro duobus quibutris angulis, quorum alter tanco Suveent Onadrantem.
GIAHIB AITET IMAC DEFLIE. Nam AnGuILS V est urrobique idem FF Anouli 2d
Basis, Hoc Tolo alsterunt s quod in altero angulus ExternuS, in altero InternuS
(qui est reliqui Reliduum ad duos rectos) aequatur angulo Cruribus C, D, com.
Prehento.
22. Hinc seguicur. Duorum Aneclorum, quorum unius crura aequantur re-
spectivis Cruribus alterius: Forunque aneutorum unus tanto Fxcedit rectum
quanto alser inde Deficit: Duadratum Basis in altero ranto Fxcedit Duacrata
Crurum; quanto, in altero inde Deficit.
23. EF, conlequenter; In quovis Trianeulo Rectineo, ulcunque nclnato;
duadrata avis ( seu Diametri) e Semibasis, bis sumpta: Aiquantur Qua
dratis Crurum. Sunco enim C, C, duxe Baleos Semilles; et D, Diameter leu
anis crianeoli (incelliee, Rectam a Verrice ad Balis punctum medium:) ec
3, B
les: est ad utramvis sie demissarum.
tur, per duas hic sequentes Propolitiones.