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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
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Frit=
A. FF F B
A F B
a FC
ete
a F E Der pr. 8. =
Superest adhuc apud Clavium, alia propolirio, quae quortum hie loci insera-
tur, eso plane non rideo; Cum tamen illic reperiam, etiam ee hie apponam.
34. Si sint quotcunque quantitates, A, B, C, dc. aliaeque ipsis numero aequa-
les, a 6, Y, ec. sitque major ratio prima priorum ad primam posteriorum,
quam secunda ad secundam, e haec major quam tertia ad tertiam, e sue de
inceps: = = = = = _c. Flabebunt omnes priores simcil, ad omnes posteriores
simul, majorem rationem quam omnes priores relicta prima, ad omnes posteriores
relicta prima: Minorem autem quam prima priorum ad primam posteriorum;
Majorem denique etiam, quam ultima priorum ad ultimam posteriorum.
Sunco primum utrinque dux, A, B, _ a, 6. Ouoniam igitur 
coque permurando Z = =, et componendo A
_E Der PTOP. 33.
bandum erie
LB
C +7 (= - -) =
= =-. Et Sc ubiris.
B L C
6+
a 1. 6
3 +
Erit, permutando,
=
=
==--. Ouoniam per membrum
 erie permutando
C. F  icerumque permurando, et per membrum pri.
mum, d per Pr. 33. Fric A. F B. + C.
a f 6
B FC
monstranda. Fit similiuer probabitur B. + C. L D
C+ y+
Eodem modo, potitis uerobique quatuor,
brum praecedens,
) B +C + D
B- f 2 +5
nendo, ilerumque permurando, dec. ut prius,
C. + D. D
a. L
= =. Iem C. + D
Secundo, ponantur utrinque tres, ==
primum = (-
e F B. FC
B FC
B
 -LC ( = - -) = --. Oux eranc probanca. Et similiter pro-
3 L C.
=
-2
C = ~. Clu vet mem.
ideoque (permucando, et compo.
A + B F C F D, B+ C +D
a = B. f y +5
B. F 2 -
+s = 5) = =. Oux erant probanda. FL similiter B + C F D f F
C + D + F D. L E
V-
B + y + 5 +
Eepari modo, poticis nrobique, quinque, sex, septem, dec. demonstratio grada.
tm procedet. Constat itaque propolitum.
Aique hactenus Fuclidis Elementum, quintum, cum propoticionibus adjunctis,
expoluimus: Succincte quidem, sed nec propterea minus dilucide.
Si quem interim male habeat, quod in demonstrationibus nOn rarO, ea quae ad
Fractionum Dirisionem, Mulciplicationem Sc. attinentu adhibuerim; quarum do-
Etrinam nondum ex protelso tradiderim: Porerie ille rocum hoc capue, cum (e-
quenre, Fractionum iractationi pollxonere, vel salcem quali estent postpotica rc.
Dutare.
Cap. XXXV
E LEMENTFOUTNTI
quae crans de.
ep