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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)
# Folio 768, page id 851708439:0792
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C O N M P R C I U M
Canon. FA Z Q (- 2R 2R.
D. = D) numecus quadtacus, qui in N ductus, adseica
unitate conticiet quadratum,
N X
D8 F 2. = +QN + Da Nam 2eN + D9- +OV + 09- 2ON + N4
e
e9 F 2QN f N9 Q F N O F N
eg - 2ON F N9 On N OaN
1g 20V + N9
Ner meus: quoad formam processus, paulo universalior; quoad numeros
autem invenios, plane idem.
Sic N, numerus datus quilibet A, quilibet ad arbierium astiimpens: per quem
O. quadratus quilibee, diridatur; quociencem extribens M. Sic P, mumerus qui-
libet; D, disterencia duorum  A n PN.
e 
D
re, conticiet quadtracum, N, M A
MgA9
D9
26P, Y EMAN. F PgN9
MgA9
16P9 LM AN + PgNG
+ 1. - MA N+ Da vum IL A N + DC
N A
+D + PN
BPN
9
ma
EtA  eN
4
Momendum denique, quod solutioni suce suibjunxit D. Vicecomes. Nempe,
Prioribus duobus D. Fermatii quaesicis, reponendum censuit, non modo nume.
rum 2, sed e (si tractiones admictancur) numerum F per cujulvis integri po-
celtatem sextam dirilum, verique qualico lacistacere; (quippe qui cum Ouadteatus
CA, cum cubus, ee parres aliquoras nullas habet:) Sed e duorum priori sacista
cere, non modo numerum 343 (quem innuie D. Fermatius) led de cundem per
cujulris inceori poceltatem sextam divisum. Puta 382. Siquidem numerus FFa-
etus, cum partes non alias habeat actuales, quam quae tori lune connomines; non
alias habebit parces aliguotas expositus cubus 34, quam 3 c, 87, qua cum iplo
24, conticiunt 10, numerum quadratum.
Elabes itaque, Vir Mlustrictime, eorum summam quae dudum de his Proble.
macis responderat FTonoraciltinus Vicecomes. Id Superest, uc liquo pacto rebus
cuis molella tueric imporruna haec incerpellatio, veniam humillimus exorem,
Oronii Sept.
27. 1657
Zustrissime Domine,
Observantissimo Pui, Zibique obstrictissimo.
EPISTOL A X.
7. WVAL. LZS.
D. Vicecom. Brouneker, ad D. Toh. Wallis.
A Ccepi, Vir Clacistime, inelusas hasee BInas Illeras, quas a D. Kenetino Dieb)
L allatas, cradebat hert D. Wbite. Ou  Ceras Mn oltendebar, quae rete-
rebone D. Frenicle Analycicen contempeur habere, lallem palmi admodum alti
mare; cumque Solville unaM ex PrOPOHHOMIOIS quas IHCHIIA LICCTA MCMOTANI,
(candem, m fallor, de qua ancetiae alarus, se nondum videraus,) ViZ.
cubes. Nempe FC;
1720 =-C9 + C10=CF + C12. 4104 = C0 + CT5 = C2 + C16.
23832 =- C 18  C20 = C2 + C24. 52032 = 6 18- fC 30 = C4 + C32.
3037
=C25 + C33 =C2 + C34. 40032 = C 16 f C33 = 69 + C 34
Treuver deux nombres cubes dont la summe soit eseal a deux autres nombres
MISu
20683 = 6. 19+C24 = C10 +C27. Verum de polleriore parts propolicio
01
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a
poliur
au