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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 533, page id 851708439:0557
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et l. f 12 L 1 et 5
E
cooclbba
C A P.
De Duplicatione e Bisectione Areus vel Anculi.
Trculi Radius vocetuE R; Diameter 2 R: Subrenta areUS LIIHBII A
vel E): Duplis B; Friplis C; Ouadrupli, D; OuintuplB ; d SC
deinceps. Pronnunquam camen cildem nominibus rOCenEE ArcuS
A ipsi quorum Subren sx sune A, F, eC. Sed id ea caucione HCI, UE nOn
Et inde metus HrrOrIS.
2. Obi Areus Subrenta vocatur A, etto Sinus Vertis V:
ubi Subtensa E, Sinus V exsus VT.) ui ductus in Reliduum
Diametri (2R - V) exhibet2RV - V q quadratum Sinus
Recti. (Or quae eA Media provortionalis inter Segmenta Dia-
mecri quibus insstit; per 13 Fl. 6.) HTOc Cst (O: = B:) O12-
dracum Sinus recti, vel semisubrenta Dupli arcus. Id elt,
ZRV = V9 = Q: ZB: = = B9.
3. Si huic addlatur V q ( quadratum Sinus V erH) FL2 R V
(=5B9 + V9) = A9. (EE Pari ratiOnC 2RV = F. 9.) HoC etts
4. Subtensa Areus, est media proportionatis inter Diametrum ex sinum Vei-
Sum.
S. IEem; BEOpTeE LR V = Aq; FreO (dividendto NTInGuE peT ZR) FI 
=V. EC (Tumpris quacraris)
A94
4R9
A94
quadratum tinus Recti, A 9 -.
P. 9c
eR
=Y9. Quod demprum ex A q, relinquic
=D: 2B. CEE Cmilices, =  = V; 8 P95
+R9
= 09: &t F. 4 = GRg Q: LB. ) HOC est
4R4
S. Si a quadrato Subcensae, auseratur, ejusdem Biquadratum per quadratum
Diumerri divisum; Residuum, est, Quadratum sinus Recti. Tlujusque radix
quadratica est sinus ipse. Fujusque dupla est subtensa Duxh areus. Fit, sub-
rensa areus est mediu proportionalis inter Diumetrum ex simum Persum.
A94
7. Icem; Duia A9
==B9: Frgo (hujus quadruplum) 4. A9 - -
E90
A44: = B. (E, similitee, V: 4 F. 9 - 7
R9
AC
Z X X 3
R29
= B4
2: =. B.) Hoc est;