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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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Cap. C1.
A L G F B R A.
Arichmetica. Ntam Ei Sinus Recti ( ut hic) incipiendo ab Aquatore sint H
progrestione Arichmetica, ut 1, 27 3, ec. tum Sinus Verti, incipiendo a Pola
ut qui sunt Rectorum relidui ad Radium) sic item crun.
COLLFOTTO ZANGENTIOM
57. Fadtem similiter accommodari Boltine (quamquam id non sic praesentis
negorii) ad Aexrexatum Tansentium, Arcui in parces aequales dirilo respon.
dentium.
58. Sunc enim Fangentes illae Arcui sic diriso respondentes : sumpris S
in progrestione Arithmetica.
50. AEque tum procracta Base (ut in F18. 8.) vel FangenK (ut in FIB. 9.)
in ratione Tansencis ad Sinum Tuum; crie
SR
5. = C: : 2i. R)
SR SR 5R
60. Onde (diridendo) habebitur haec Series.
S
d
5
5
S. t p L pr t po t ∞o + dec.
62. HIOc CAt (DOLItO R = +)
S + 53 + 53 + 52 + 5 f _c. R- 8) SX (5
62. Cujus membra respectire multiplicata
Per 35, 45, 65, 55, 105, ec. exhibebunt
552 + 454 + 5,55 f 558 f, 5 510 f _c.
Ouod est Aggregatum Tansentium respon.
denrium Arcui cujus Sinus rectis cA S.
63. Oua quidem methodus, Specimen ese
pocerit procectuum in aliis contimilis natu.
ex calibus.
Atque tactenus Fpistola illa. Cur autem (.
mili modo non collegerim Aegregatum Si-
nuum Rectorum (pront hric tactum est de
Secantibus et Pansentibus) caula est, Ouia
id jamdudum praeltiteram in Mechanica mea,
sire De Mo Fractatu Cap. V. FrOp. T2.
F. N. N. O. T. Scerumque Prop. 27. M. N. O. O. T. Nimirum, in Fieura Simum
Rectorum (cujus Ordinarim axplicati sunc Sinus Recti torius Semicirculi) policis
pro Radio R, pro Sinu Recto s, Vro verso v, prohujus a radio Ditterentia _; FI-
oura Sinuum Rectorum (scu Sinuum illorum Collectio) pro toco Semicirculo est
2R2. Pro uno Ouadrante R2. Pro parte aliqua (sire Semicireuli sire Ouadran-
is) a minimo inchoata v R = P + x P (prout minor est aut majos quadrante.)
Pro quadrantis parte d Maximo inchoatu  R. Pro incerjecta aliqua parce d R:
Tumpto a pro Alcicudine Portionis in crecto AxC circuli menturanda; seu Dilteren.
tia Sinuum Vertorum, extremis iptuls porcionis sinibus Rectis convenientium; aut
Dictancia (in diauerto cui insiltunc) duorum finuum Rectorum expoticam por.
cionem terminantium.
Poltquam aurem ea (ut dictum est) typis erant edica; rOBacuS porro cram (lice.
ris ad me. DeC. 17. CCriptis) ut ABGregatI S- f 5 53 f 5, 55 f 7 S Sc. F xemplum
in Numeris exhiberem. Simulque, ut idem praestarem in alia re non abtimili
Nemve; In Alecbra mea Cap. 95. exponitur tlyperbola C l, Cujus A symprocue
d 1
+ dcc