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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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A L G F. B R A.
Cap. XXI.
Sune autem de alixe Proeressionum Formae; sed quas hic particularim prosequi
nolo; contemtus celebriores duas Arichmeticam et Geometruam dictas, breriter
expoluiste.
OLarmomce (Leu Mulice) proportionalium: Iloc et claen Mmestread)
quando ut terminus primus ad quartum, sic differentia primi e secundi, ad diffe-
rentiam tertii es quarii
Prta 5, 8, F2, 30. G1Ia 5. 30:: 8- 5. 30 = 12:: 3. 18.
Iem A, BG, N, F; AI SIE A. F: : M - A. P. - N. Adeoque AF = AN = W F AB.
e
eA V
NI
a - 1
Hluc releras Reciprocos terminorum Acuuneile proporcionadium.
Puta,
Au
Ett
Nam hi sunccontinue proporrionales Farmonice.
HToc cst -
3C
Propter factum ab extremis aequale lacto a mediis.
BB BB  BB BB
HTocCst-
Dei
2CC 3CC 4CC 6CC.
SBB 2BB
BB, 266 b6
6CC 6CCbelide d
Ex he ubique.
Aliae sunt Proprectiones secuindum numeros Ouadratos, Cubos, Biquadratos _c;
Seu in Arichmetice proportionatium rarione Duplicata, Triplicata, Ouadruplicata,
ec. Or Tunc ordinaiae in Parabolarum et Paraboloidium Complementis.
Vel uc Radices Ouadratiex, Cubiex, Biquadrarica, ecc. aut in ratione subduplicata,
lubiriplicara, Tubquadruplicata, Scc. arictimerice proporcionalium: Oc Tunt ordina-
exe in Parabolis et Paraboloidibus.
Progrectiones ilem ex hujusmodi pluribus compositxe: OE ex Progrectione Arich.
metica, addica vel dempta prosrestione Ouadratieorum: Ut sunt Ouadrata ordina.
carum in tlyperbola, FIlipl Circulore.
Aucin horum racione lubduplicaca: Oe sunc ipsae Ordinacae in Hyperbolas FI.
lipli, Circulore.
liene, secundum numeros Friangulares (qui sume ut Ouacteaca ordinacarum in
Hyperbola aequilacera,) Pyramidales, FriangulI. Friangulares, dec.
Eex mille alia Proeressionum seu Serierum Forma. Duarum alibi aliquas per-
pendimus; pluiel que poieric quiliber pro arbicrio lu0.
C. (2C 2C. 3C