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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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L L _ F. B R A.
Cap. XVI.
Subductionis Regula, haec est: Subductio Speciosa, conjuneit maenicudines da-
tas, mutatis omnibus Signis maenitudinis Subducendae. V
FX
Tolle
Rectar
Hoc et
Ec ubi in Addirione ee Subductione plura membra occurrune Signis +=
connectenda; perinde est quo ordine ponantur, dummodo cuum cujusque Signum
recincatur. Adeoque sic ordinari porerune ut expedire ridebitur. Puta A- B FC
aut A + C -. B, aut C F A = B, aut C = B F A, aut = B F A f C, auE
B ) C F A; cancundem valent.
Mustiplicationis haec est Regula: Multiplicatio Speciosa connectit Maenitudi-
nes datas, cum noca in, vel X: lvel plerumque absque nota, si maenitudines de-
notentur unica licera:)
Ft, si siena sint similia, producta maenicudo erit affirmata, sin diversam necatam
etextur autem Dec in.
Duc A A f F. I A = F. I A f F. F F) B + F
n
3A) A F. ) AF.
FI A XF BA F BE. BA BE L A F Z. L. F Z. I BA + A, OA A, A A R, A AL. F.
Seu A F.
6A 9A gF. A gF. 4
Acque hic quidem (uc in communi Arictmerica) singula Mulciplicanris meni.
bra ducenda tunc in lingula Mulciplicandi.
Duta A F F.
In A  F
A9 F AF.
IAF. f. F9
A. FF I AB F CD
A F.
AB L CD
A9. F AF. AB9 F AB. CD
AK. E9 + ABrCDFCDg
AB CD
AB CD
AB9 AB.CB
ABKCDFCD9
Fir A9+ ZAF F EgI A9 Eg 1ABg + 2AB,CDFCD9) ABG- 2AB, CDF CD9)
Ouando Magnitudo aliqua in se ducenda sicu ut inde tac Ouadratum, Cubus
aut superior aliqua Poteltas; Plerumque pro repetendis Speciebus, ponuntur q
ee c. Puta A9 pro Ain A aue AX 1. EL AC auc A3, Pro A in A in A,
Icu AX AX A, Peu A4Q, Ceu A9A, Teu A+9. Trem AAAA rancundem est ac
AC Teu 44C, Tcu 1949. Tcu 199, Teu 1+. FE AAAA cantundem ac
ACA9, Teu A9AC, Teu 199, teu A99, Teu A9C, seu A. TIem AAAA A
leu A cancundem ac ACAC, Peu A9949, Teu A9CA Teu ACC, FF limili
cer in aliis. Nempe q seu quadrarum innuie ubique duas dimentiones; et c scu
cubus, dimentiones cres, illius magnicudinis cui additur. FF ubi dimentiones
mulcae lunc commodius id municur suspensa ad troncem minuscula fisura: ut
A Pro AAAAAA; auc a pro avanaa.
Divisionis; haec est Reoula: Divisio speciosa Staruit maenituainem Dividen
tem sub Dividenda cum lineola interjecta, (eo modo quo in rulsari Arithme
rica notantur Practiones; quipre Fractionis Numerator Diridendum reprelentat;
Denominator, Dirilorem; et tora Fractio, Ouorientem:) tum considerat, an
maemitudo aliqua utramque communiter multiplicaverit; atque ipsam utrobique
expunsit. Divisio acutem (licuc Mulciplicatio) in usdem sienis, dat +; in
diversisus . Lttercur aurem per ad.
ApPlICa AE IBA CB A F A , B A - CMG
Ad
OrITuE Li B
Prouc enim, in ordinariis Fractionibus, si cum Numerator cum Denomina-
tor, per eundem numerum aut mulciplicetur aur diridatur, idem manet valor:
GIC
A A
-5 a 5 a 7 3