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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 388, page id 851708439:0412
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rum mulciplica B in n (numerum Sicticium,) et ex Producto deme A: et Relidui
secundum terminum
est
2XT6X6TY
de prodibit n =. 8, ec 8B = A = 3
A
B R
ap. XCV.
4X6r p AO eranescat) Ponc = 0. Vn.
: HOc CA 3
64. X F2O pe
= a 2  3 -
Xime. Ouippe Error ( in excestu) non
680  = _c. Fs..
Fxemplum XI. Ttem, In areus BB
Sinu verso A D indefinite producto, in-
venire punctum  unde ductae rectae
EB, CB, abscindant (in Taneente)
Le R.C, arcui aequalem proxime. Flto
Circuli centrum C; Diameter AR = a;
2d Sa 1042
+. 343
c.
5 a 3 L 8c
643 40a3 2Y2 43
Et AE = DB. AD:: AF. AC. Adeoque AC,
=3a - 2 _ -
12HE + ec
POnamuS erBO AC = 3 a = = N.
=a 27 PrO.
que idem cum illo LSusenii TheOre.
mate.
ee sinus versus AD = v. Tum CA DB (=V: d ∞ - X N:)
= a + ~ 2
Et AE (= AB)
Exirque icerum, DC (= 3 a - 54). DB:: D A. AF - DB.
EFBO AF -DB -- 2 ~ 2  ∞Z p 23X3 + ec
34= 543 30042
Adete DB; cricque AF. = a = _ 3 +  2 p. 343.
6d = 40 a3 220043
26 X 2 + Rc.
Deme hoc ex valore AF. prius invento; Residuus est errOr
525 d3
ErsO; ip A C, Tumptis AE = = DA; _ RC = HC: Rect EBF GbC ab
Scindent F C proxime aequalem arcui B A B. GLIDDC CrTOT non major CsL quam
26~
25 d V a v = _c. Oui mulco minor elt quam LLusenii.
Sin ponamus 7 A K. 3AH:: DH. n. alque tum SuMAtIE KC = CF - n,
error erit multo adtue minor.
Ouo itaque Mechanice designemus segmentum circuli B A b: Reducatur primo
Area, in seriem intinicam. Puca, qualis hraec est,
BBA = 3 4 3 ∞3 - 2 _ 3 ∞3
XZ = _c.
5 d = T443 3643
arque tum exquiratur aliqua Mechanica constructio, qua quam proxime exprima.
cur: Puta, qualis haec ct.
Ducatur A B recta: Fritque sexmentum B AB = 3 A B F BD, in Z AD, proxi.
me: Ouippe errOr non major erit quam  V a s = ec. in detectu.
Vet adhuc proxius. Bilecta AD in F; ducatur recta BF: exiique
4BF