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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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C. O N O - C. U N F, U 5.
a; QuanTIIaLES ~ == 52, a = 0, erun Negatira; adeoque e, e, sypra Verticem eB,
in oppolico Solido.) KC RD = D = d. Adeoque RS = V: d D - d: media
proporcionalis inter a R, RD; hoc clL, inTeT d, D - d.
75. Tum, proprer a RS, ap5 similia eriansula, (liree Sicintra, sive Fupra BB:)
et aR SCuBA, ad ap sCUBE: dic eAt RSa4 PS. HOC Clt; OE A ad a = co; Sic
Y: 2D - ~: ad  = Y: 2D - d. Oux est ixiur longiudo reclae po.
76. Si igicur, in Plano, describatur recta equalis ipli sd, in 10c aequales par-
tes dirisa (pront supponicur) in punctise: de super his exisantur perpendiculares
iplis eo sic inventis aquales; (ita camen ue Onancitares BCGATIVX Ex CONTTATIA
rectae parre applicentr): Curra per punctao in plano deleripra, CongrueL CUN
ea qua in Solido sectione tir. Adeoqne porst, ablque actuali solici sectione,
Curra sic deseribi in Plano; ee curlibet proportioni Alcicudinis ad balin Colidi ac-
commodari; de cuicungue poticioni diametri sd in Solidi rectanoulo a D BB.
7. Calculus hric, accommodacus Circulari bali ASD, parier accommodari
porlt Parabola, Fyperbola, aliire Curra cuicunque, cujus AXISSIcAD, de Ver
TexA: Si PEO V: 4Z = 42: (quae hic est Ordinaca Circuli, Donacur Ordinata al.
cerius illius CurrX. Puta,  V: d L: pro Parabola. FL =  V: d L. + 2, d:
ProHyperbola, (poticis D pro diametro cansverta, _ L. prO L alerCrectO. ) FLL.
milicer pro aliis Curris.
8. Acque ob hanc cautam, libuic punctum R designare per distanciam ejus d A
pocius quam per ejus d C distanciam prorsum ee recrortum: ee puncta e per eorum
2 s distantiam, quam d c. Quod alias perinde licuit.
70. Sin ita libuerie aelignare; ut sit C = C R, (adcoque RS = V: R - c2:); ee
a = Ac (alcicndo rercieis BB supra C): de co dilterencia aleicudinum iptuus BB (u-
Pra B et Supra c: Tum est ap = a - co pro punctis e in c d supra punctum c; sed
ap = a = a pro illis intrac, in cs. Adeoque po =  =  Y: R - 8.
80. Si vero ponatur a = B d, alcitudo ipsius B supra d, Superiorem Verricem
Currae; (quae itaque eric quanticas Negacira quories B cadic intra d:) Lt c ditte-
rencia hujus alcicudinis ab illa in s: Procellus idem exic qui prius, ni quod cumm
Proa = a, ponenda erit a. f a = ap: Adeoque p0 =   V: dD - d. Fs timi-
liver si at sit vercex Pacabola, Hyperbolae, aliutre curva, cujus Axis ds oblique
descendat.
B1. Siquis malit Organice, quam per Caleulum, invenire ordinatas po ad da-
ram Diamierrum a D in cali Solido percinenres, et in daco siu: Id commode tiac
hoc modo;
82. Primo; Deteripia, pro libitus recta L. M Fis. 12, dividacur, in punctis en
in quoclibet parces inaequales, uc linea Ordinatarum aequalibus incersticiis policarum
in Ouadrante Circuli; (prouc dividitur recta CO, in punetis S, in Projectione
prima, Li8. 26.) FC ex adverla parre puncti M, Sic diridatur a M in partes cocidem.
Ec super punctis singulis e, M, erigantur perpendiculares; ucrinque concinuanda
prout opus tuerit. Oux quidem generalis constructio, catui cuilibet est pariter
applicabilis; poreltque, semet descripta, pluribus succeltire applicari.
83. Tum; Supponacur, in expolico Solido F1s. 1Z, SL, ipsi A D parallela, se
Cans A C in F. Li C q iptC.O parallela, secans AO in 9. Duo suppolco; lu-
matur in perpendiculari ad M F18. 72, recta M R, aequalis ipsi L q in lolido. FL
deseribancur recta P a, P. L. HI rectae abscindene, in caereris parallelis, rectas 5S
aequales Ordinaris illius F. Dipseos in Solido Fis. TF, cujus AXis est dL. Ouales
sunc Ro in secunda ProjeCtIOnC (15. 17.
84. Similiter; Supponatur, in Solido Fic. IF, d c, ipsi D a parallela, SecanS
CA, ejutre concinnationem, inn: de nq ipsi CO parallela, lecans A, ejulre
continuationem, in 9. Et hoc suppotuo: fumatur in perpendiculari ad MI, Fie.
22, 23, recta Mn aequalis ipsinq in Solido; (ex eodem latero iptIUS AML cum
ME, aut latere conrario, pronc d ex s’Sune ex eodem latere, aut oppoliris, iptus
BB.) Et describantur rectae na, nL. Elae recta abscindene in eaeceris paral.
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