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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 819, page id 851708439:0843
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li, P
15 LOL lC Ut M.
3RGF = E6; _3Rg A - 3Rg 2. = A6 - F. 5; 8. 3Rg -
AC- F. b
krgoZRq Ptrusti eriplum, et Rq P Frusto aequale, quod erat propolitum.
Superest tandem uc prolixa imporcunicacis reniam orem; atque UE EXOrEM POx-
r0, si per te liceam, ue quem hactenus cibi demeruitti, amare adhuc ne dedieneris,
Oronii, MarI. 4.
1658. Scilo
AnsliX.
llustrissime Domine,
Flumillimum pariter, 3
devinctissimum servum,
7OTI. W AL. L. Yd.
Obi circuli quadraturam d me perperam inrestisacam in CInuat, (Fp. 2T. ) quid
sibi relic Vir Nobilissimus non laris alsequor. Ouam eso quacraturam extibur
naecerat.
Drfactum ex quadratis numerorum imparium 3, 5, 7, 9, exc. in infinitum; ad
factum ex iisdem quadratis unitate minutis; Ec quadratum diametri, ad aream
circuli.
Obicunque autem concinuam illam quadratorum mulciplicationem abrumpere li-
beat, intra hos limitesres coercebitur: Si factum ex quadratis ducatur in radicem
quadraticam unitatis auctae aliquota sui parte quae denominatur a radice ultimt
quadrati, habetur quantcas justa major: un quae denominatur ab eadem radice
unitate aucta, habebitur quancicas justa minor. Sic 0X 25 X4OXBFX V IZ 40
8x24. X48X 8O, eAt ratio major, quam quadrati ad CircuLUm; aL ∞ X 25 X 4 OX 8Y Y
Y X20 ad 8 x 24. X48X 80, estratio minor quam quadraci ad circulum.
Addo; candem esse rationem rectanguli sub conjusatis axibus, (vel etiam paralle.
logrammi cujulris circum (eripti,) ad aream L Iipleos.
Hanc quadraturam ( falsam pucarerie Vir Nobilistimus; Si Poris cAt, retellat.
Ostendar, inquam, rationem circuli ad quadeatum diametri, vel majorem ese, ve)
minorem, quam qua a nobis assignatur. Sin lerius aliquod insinuei, ob quod non
placeat; aut contemnendam pucarerit: nolo ego lua sibi verba reponere, facile est
ca despicere ad quae non datur assequi: Led illud vorius,
Siquia novisti rectius istis, Candidus imperti.
E PISTOL A XXIV.
D. Vice Comitis Brouneker ad D. Job. W allis.
Fare herewith (ent Vou a Copy OE Wtat T have wricten 10 Sc. Kenelme Dieby,
(Apist. 27.) (upon che perulal oEchese ochers From him) co be sene wich rour
Former, in case it be noc alreads gone; or at lealt 10 sollo ic. Whrich is alleime
vill norr permit me c0 lay, exceptins wtiac J mult nor torget, Aill e0 alture you
That P am,
STR,
Tour most faitbsul friend and servant
BROVNCKFR
EPISFOL A XXV.
D. Kenelimi Disby ad D. Job. W allis. Praecedenti inetusan
una cum subsequente.
Fope pou have ere chis receiredmine to vou olihe soF chis Monch (F pist. 2E. Y
in irhich Pencloled a copy oF à paper addressed 10 me chat MOnS. Frenicle
urore suddainty and immediails upon lishr otche Letter ron ere pleased 1o ho.
nour me vichal ot dc 2t Novemb. Palt J F pist. 26. ) vtich las l0 lons uxon che
Way.
d
13 Matel. 1658.