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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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Ci O N O - C. V N F. U 5.
30. Sed, cum hac divertitate; quod Curra O ob d, secabit axem suum in B,
eique iterum occurret in d: (parre bd jam exiltente ex oppolito axis latere,
Planique ABDC, in opposico Solido.) Et, consonanter, (proprer R P, hoc casu,
majorem quam a R;) erunt ap, e p0, quancitates negatira; cadente ap ulera
verticem AB, qua cadere supponitur citra verricem: EF eo intra planum ABDC,
quae supra planum cadere lupponitur.
32. In horum caluum utroque (sire Cd secet, sire non sccet rerticet A B,)
rectae dC continuata (parili respondentes continuationi Solidi) iterum occur-
rent axi siio continuato in S(tanto ultra C, quanto est d cirra.) Sed ordinata
in hac concinuatione majores erunt quam illae quae ad dD pertinent: F0 quod
2 CD Turtum, Tolidi crasticies decrescit; sed inde deoxtum, crescit. FL Conso-
nantET, a P, quae inter AB e CD est minor quam a R, (e, supra AB, negatira
quantitasu) eadem intra C. D tic major quam aR. (Secance dC rectam DCi in
C.) Nam illic cH aP = a R -- Rp; hic verO 2P = a R F R P.
32. LIX Curra, utroque casu, (sire Cd secet, sire non secet, verticem AB,)
Si lacus DB dividi supponatur in partes aequales a rectis C d; e projiciantur
currae in unum idemque planum: comparebunt ut in projectione uarta, Fis. 19.
Ubi Axes dC continuantur ad s; acque cum (quo vitetur contusio in Schemate)
remorentur, a litu suo in Plano ABDC, ee collocantur in recta A C continuara:
e Ordinata po ad eos applicantur in ca politione; in tali proportione ad RS.
qua est ap ad aR seu AC. Arque ita diltribuuntur, aliqua ad unum, aliquae ad
alterum latus rectae ADC, ut ricetur contulio alioqui oriunda, ( tOL CurrX se
muruo incerlecarent omnes in eodem a puncto, prater alias irem intersectiones
alibi faciendas.
35. Maenicudines in hac Projectione, sic detieno in Speciebus.
= R.
25 == V: R-
CD. CR:: Dd. R5.
AC. 2P:: R5. P0.
.A+ F:: V: X-
AR F Cb
V:  - c
21. In Numeris (DOSitO R = +, _ A = 2,) Semiaxes sex Currarum in Sche
mare descriptarum (quarum prima est Circumterentia circuli) hi sunt;
VT. 25
T. F1803+
T. 4. F4. 2.F = 1. 80278 -
227607 = 260258. +
Ordinata vero, Si Supponantur Semtares diridi in quacuor partes aequales,
Tunt na;