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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 824, page id 851708439:0848
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C OM M F R C L U M
Sent vou, because MonnI. Frenicle mas chence perceire, chac nochins is ancins
For che pertect lolurion ot chac Frooleme. Tcremains oncly non (Noble Sir) chac
Lallure vou, chac my t’acllet ale Mocher couldno nor any ocher can more ho-
nour and elteemrou, nor be prouder ot vour triendchip, chandoch, and is,
Sir
Tour most bumble aud mest
fairbsul servant
BROONK
E PIS FOL A XXYIII.
D. Zob. N allis ad D. Kenehmum Dieby.
Ellustrissime Vi
YTceris quibus me dixnatus es Fuis, 6 Febr. datis, ( Fipist. 22. ) limul cum Fe-
Lnicleis inclulis, (Fp 22. ) jam ance respontum dederam, quam sequences 28 Febr.
Fp. 25.) (quas hac hora accipio) ad meas manuIS PerveneranE. PersenLO aucem
(quod doleo) quas jam ancea mileram Decemb. 26. datas, (sip. 18.) ce nondum
accepisse cum ulcia ilIX CUIX MIETCreNEuT. Ouas quidem li viditlet D. Frenictus,
cercum est se liceras ipsius ulcimas, vel incesras vel maximam falcem parcem, omit
Turum Fuisse, si non e pracedentes.
D. Fermacii Problema quod spectat, De insimiis numeris quadraiis, qui in non-
quadratum ducti, unitate deficiant aquadrato, cum praetixo Theoremate. NOS e
Pheorema demonstrarimus, de Construximus Problema; (quorum VErumqUe CraE
propolicum, nobis falcem, neleio an e Freniclo; uc non lic cur illud mitri tanquam
auesorvoor objiciat: neque id in numeris Fractis cancum, sed dc in Inceoris. Polt-
quam enim de Inceoris le expoluerat fermatius, docuimus de Inceoros a Fractis le-
cernere: eaque omnia praeltiennus quae jam poltulat Frenictus; quod nec ipse dicti-
rebitur ubi liceras illas nactus FuerI Dec. 26. dacas. (KEp. 18.) Nec regulas cancum
extribuimus, (quod camen extribuisse susticeret,) sed de carundem praxin ostendi-
muS; non quidem in nuerIS 6F, 109, 127, qui tuerane, vei videcur, Freniclo pTO-
Potici; ac lalcem in numeris nihilo Facilioribus, 109, 149, 433, ( sEp. 27. 29.) qui d
termatio tuerant propolici nobis. (Fpist. 8.) Ouod d jam nuperrime praelLic D.
VICCCOIeS BrOUnCKEr I MLIIMCTO ZEZ, SEpiSt. 27.) quem uc nobis inliperabilem
provonie Freniclus. Ouod de eadem lacilicare tiec de numero L5L aut quovis alio.
Nec dubicabic Frenictus, ubi literas supra memoratas acceperic; quin nodum illum
pertecte incellisamus.
Ouodaucem l. Lxist. 26. ) innuieme, dum plures cuborum combinationes dede.
rim, qui essene bini binis aequales, nonnili paucas iltiusmodi combinationes aequa-
licer vel mulciplicalle rel diritiste: Id omnino verum clt. Neque tamen clt Cur
id in me culper, cum ec ipse mitui in eadtem semica praeireric. Numeri enim qui ad
me perterebancur canquam ab iplo extibiu, tn cranies
13 MarCM 1658.
1720 C8 + C10 = CT + C12
410+ C9 C13 C2  C 10
5832 =  10 12 -  =  C24
32832 = C18 +C30 = C4 + C32.
ec.
_c.
Ob maniteltum est numeres n Combinatione cerria ee quarta; non alios et
Puatanumciorum I Pela et seclea aequimupile. Mlati alicem illud tacie
tiac non ienorat Frenietus, sed nec nobis spero inridebit quod de iple Hoverim.
Cornua enum istiusinodi vel unica combinatione, (sire ex inspecta nunterot e
Borum cabella, sive sumpea aliqua ex iis quos indicavie Frenictus, sive quoelnque
detuium modo habeacur) intinicos procinus alios exhiberi polle cercum ell. Si
enim verbrgracia a3 f b3 = c3 = 43, eric d ad et  B3 c3 = 03 03  ~ e3, quieun.
que allimatur cubus e, incexer vel tractus. Similiter si vel unus ales cubus in
alos alios alre pocerie, poceric ee quilibot cubus dacus sic diridi; H enum verbi
Bracia