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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. XXI.
A N _ D B R A
Auc etiam (si continue per R dividendo procedatur, aut mulciplicando per X
a
R
R2
R. R+
Sedt Ccometriea Propiestio simplicistima, ee maxime nacuralis, est, quae ab L in.
ChOAEE. VE.
F. R. R2. R3. Ra. R3. ec.
Si ab alio cermino incipiae, (ut pridem ab A;) tancundem est alque composica
ab A qualium proprettione (A, A, A, ec.) in illam ducta: aut per illam dirita.
a.
A
R+
P3
ec.
ec
A. AR. ARZ. AR.. AR. AR.. eec.
ac.
Flujusmodi Progrestioni Ccometriea, accommodare solent contormem Ariitune.
ticam; Fxponentes (cu Indices terminorum Greometrice proportionalium exhiben.
tem.
Fponentes, 0.
+
2
3
4. 5. dc.
Termini, 2. R. R. R3. Ra. R3. ec.
Ouorum quidem Frponentium magnus ulus est in rariis operationibus quae Pro-
Erelliones spectant. Ouippe Addicio ec Subductio in sixponentibus, relpondet
Mulciplicationi _ Diritioni in ipsis Terminis scometrice proporcionalibus. Puta,
Uc 2 f 3 ==5. Sic R= XR = R. FF Sic ubique.
Atque hinc, tanquam a vero principio, tota Locarithmorum doctrina deriratur.
Si aurem Series Lxponencium non id
tionalium, non ab F: Post exponencium addicionem, facienda es lubductio primi:
ec post proportionalium mulciplicationem, diritio per primum. Tiem, Post expo.
nencium Subductionem Facienda est Additio primi: elt polt Proporcionalium Di-
visionem, mulciplicacio per primum. Puta.
Faponentes 3.
Termini prop. 2.
54.
162.
23
ec
486. c
Sett A. AR. ARZ. AR:. AR+. AR3. eC
Vbi; u 7 + 9 =3 = 13. Sic 2) 18 ~54 (486. EL A) AR= XAR. (AB,
Tcemg; ut 13 - 9 f 3 = 7. Sic4d, X2 = 18. AR3) AR3, XA (AR3
De Proerectione Geometrica, rariae icem proxoni solent Quactiones seu Proble
mata. Puta,
Daro primo termino A, e communi mulciplicatore seu exponente communis Ra-
cionis R; invenire alium quemvis terminum in daia a primo distantia d. Nimi-
TUM AR.
Trem Dato primo termino A communi multipticatore R, es numero terminarum
t = d + F: Envenire V, ultimum; e S summam omnium. Nimirum A Rd=
1.
R- A
Aliaque mulca Problemata; ubi ex A. R. L. V. S. datis quibusdam, alia inresti.
BantuT.
Ouam rem Fulius prosecutus lum, Opere Arithmetieo cap. 25. 3F. 33. 34. neque
hicrepeto.
Sune