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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 462, page id 851708439:0486
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L G F B R A.
Cap. C
1
FFI. F A. AH: : fB. f8. PB:: en. ed, 8n:: BD. BA. AD.
Bc:: 6d. 18
BD. BA:: en (= DBH BC - Dn). es (= aB. + Bc -a 5):: Dn = BC. 25 = BC
Bf. Bf:: Be. Be:: Dh. DB:. 21. M.. B 66. D 66.. 1d = Bc. 23
c8. 25. Eodem modo ostenderur, rectas quoilibet ry iptis Bf respectise sumprie pro.
portionales cAC.
PG. F A. AG: : fe. fY. 78:: em. cy. 2m:: BC. BF. FC.
BC. BF:: em (= CB F Bc - Cm). ey (= FB F BC -Fy):: Cm- Be. Fy Bc.
Bf. BF:: BC. B0::C8. C8:: C m. C m: : C m Bc. Cm BC: : Fy- BC. Py Be
Erso (proporcionalium ditterentia) a5 =F q iiidem Bf proporcionales erunt.
Duod demonstrandum suscepimus. 
Bf. B5: : (18. 18: : F7 (7: :) 45 = Fy. 15 - 17
Pro rario sieu punctorum B, C, D; item pro rario ordine punctorum A, F, C, II;
oriuntur raria lignorum + mucationes: sed idem manebir Demonstrationis
procectus eodem plane modo quo in priori methodo oltentum, elt.
Trem, ob expolitarum duarum pluriumve paralletitmum, exdem mutationes ob.
reniene, qua lupra cradtuncur; unde ee mechodi abbreriationes exdem. Vtnon
TIc opus eadem repererC.
A P. C
tricos  Rectam Diaeonalem.
11
DMmodus diridendi Arcum in P imbo Ouadrantis, aliutre consimilis 
Prumenti, per Circulos concentricos es diagonalem Rectam, jamdudum
tueric de etiamnum est in ulum receptus; de quo tamen obortus est ali-
quando scruxulus, num illi Cireust concentrici debeant esse distanciis inter le A qua
libus, an in alia quapiam Ratione: Libet hic subjungere quod hac de re ad Cla
Celederrimo FruditisgerirO, TOTT ANNTFIEVLLLO
231)
1103 il
Oxonie Dec. 31. 1673.
rendastrabeo; meo scilicet, e corius Academix; proxter duo dona data Oreano-
graphiae cuae nuper cdiex texemplaria, Clarissimi OIdenbureii cura cracica. Ouc
reponendum. Oui Tuo propiered alque Academix nomine grates rependi roluit:
Divisio Arcus in limbo duadrantis per Circulos Concen-
rissimumSevelium aliquando seripserim, prout hic lequitur.
mon Consul DantiscanO T OHL AMH FS N AL. Z 15 5.
hique vices luas hac in re permitu.
Sed e est cur communi omnium Liceratorum nomine, rebus praeserrim Cceli-
cis addictorum, reddam gratias; cum ob immensos lac Fu LCHEIS
crogatos, tam pretiolam conguirendo Supellectilem AO SaBICC HIC
descriptam; cum ob indetestos labores, intomtles nocles, culque occupatistimos,
Duplici Paltem nomine, (Claristime Celeberrimeque Vir,) Gratias Tibi rese.
rum alterum, mihi destinacum, exosculatus; alterum Insignissimo VIe. C ancellario
cradici in Boaleiana Bibliocheca (cum reliquis studiorum cuorum monumentis)
Cutertibus acquirendis Obserracionibus Iupensos; quarum rim igentem, Thelau
rum