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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 93, page id 851708439:0117
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L C F.  R A.
CaD. 1 2L.
FE propterea, in concinue proporcionalibus; puta a. b. 6. d. _c.:. (quorum a
Sic primus seu minimus, et u ulcimus seu maximus, et Z. summa omnium; adeoque
Cu omnes antecedentes, et Z a omnes consequentes; exit a. b.: 2. - v. Z. - a
(ut unus ancecedens ad lium consequentem, sic omnes antecedentes ad omnes con-
leguentes.) Ouare a Z. = au = b Z. = b u e (tran sponendo) bZ. aT. bu aa
Oude obiter liquer invencio summx concinue proporrionalium, seu proerectionis
11O Set SIOE
bi-aa
Geometrica; per hanc Regulam; 
a
Z
Si plurium proportionalium ancecedentes sint aequales; eriis ut unus antecedens
ad summam suorum consequentium, sic alter ancecedens ad summam Cuorum. Puta
A A. B:: a. B; e A. C :: 8. 3  e A. D:: a. 8: erit A. B Y C f D:: a. B f y q s
Liquet ex priori demonstratione, terminis alterne politis.
Puta A. a:: A F B F C. 8 f B f y. FrSO A. A + B + C1:: a. a f B- F y
Si binarum rationum consequentes tunt aequales; sunt uc anrecedontes. Si vero
anrecedentes sine aequales; lunt reciproce ue consequentes. Puta 7. 2 : : 7. 9. FE. L
3. 7:: 7. 9.
Si bis quatuor magnitudines sint similiter proportionales; ipsarum etiam tum
tumma cum differentix proportionales erunt.
A. nR:: a. n a
e
B. _B.
A. a:: B. P. adeoque (aliernando ee componendo)
Nam = A F B. a f b.. (B. B::) C. γ. F.
A + B F C. a = B fy:: (C. 3::) D. 8. dec.
A =b. MA =M B.. C = B. M ∞ = AB.. L. H.
Si quatuor magnitudines proportionales, per alias quatuor magnicudines pro.
porcionales, mulciplicentur rel dividancur; etiam facta rel quotae proporrionales
exut.
A. MA:: a. m a.
b. 1B:: B. nB.
Ab. MH LB.. a B. Bon cB.. C. 11.
ma
mB
a ma
B _B
Rocio antecedentis ad consequentem componiuur; vel ex ratione antecedenris aet
cercium ec rerrii ad contequenrem: vel ex rarione certii ad consequenem et an.
recedentis ad tertium.
Prior dicitur (apud Puctidem) Pil aequo in ordine directo; Polterior, ex aequa
in ordine perturbato.
Sec de racionum compoluione plura dicencur capire sequente.