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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)
# Folio 255, page id 851387705:0275
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B, tae omnino similes B3 - 27eb =
ez e k; quarum prioris radtices indicabune inseriprarum
Parallelarum scementa puncto C et curra e A a intercepta; polterioris velo ed
rundem segmenta eodem puncto  e curra B A e C. INTErCCPCa.
Acque hinc quidem licebit ipta quam tupra indicarimus, diametrum cueram
(sic enim libeat dicere) quae rectas parasselas curvae B A a inscripras bilecat (qua
roci huic nesorio anlam porrexic) ulcerius explicare, ejusque puncta sinsula per
eorum d diamerro AD distantiam C, s in iptis c.O paralselis mensurandam extribere.
Siquidem inferipia oO, rel a0, (punctum interius distinctionis gratia, dici
mus O; superius, E i curra Aa O; E in AB, c:) vel est GO= 60, re
G0. F Ga. Adeoque, quocies G est supra A, est 00 differencia duarum radicum
aftirmacirarum aequationis hujus B3 -- 27 b = - 27 _, puta b, b, (quas radices
dictinctionis item pracia dicemus B = GO, e b = C0:) Ouoties aurem CF est in
Tra A, est aO summa duarum radicum (aftirmacirarum) aequationum B F 27l
27 te (quarum alteram B, alceram B dicemus,) nempe, aequationis B = 27
27 k ractiX (ret poltibilis, vel salcem) attirmacira unica B = GO, et aequatio.
L radtix unica DOlibiIS B = G∞. EL Propterea semiIS in-
nIS B.+
seripiae 00 =60 - G0 = B -- b, erie EB. 2b; e inseripia cO = CO F 6a
=B F B, semistis = B F ZB. Adeoque Cd distantia puncti Ct a puncto inseripia
c- cC
medio, exit illic 20O F OG = EB - = b F B = ZB + Eb; Hic verO
=EB +EB - B = ZB = =B. Ouod rel ex ipso schematis inspectu liguet
Coenitis itaque, ex supra cractiris, cum B, b, illic; tum B, B, hic; habetur di-
Stancia diametri currae, d diametro recta, in ipsis CO parallelis menturanda:
(quod paricer eriam obrinet in aliis cujuscunque pradtus Paraboloeidibus inrentis.
suo in linsutis modo, B, b, B, ut mox docebitur:) adeoque verus iltius curra F.
cus tinuolus quoad iptius lingula puncta. Ouae quidem primo varrem suam con-
caram (2 puncto a aliquoulque deorsum) ad rectam A P diametrum obversam
habet; deinde vero, flexione in contrarias partes Facta, ParteM CONVeXaM: RL
quidem hoc eo pacto sic, ut non modo ad rectam eam non pertingat unguam; sed
et ita incerim appropinguet, ut omni altienabili distancia propius accectat; adc0.
que eam sibi habeat rere ACymptoton. Ouod sic ostenditur.
E. Cum lic (quod modo dictum est) intcripta aO = coCF. f GO =B ] B; (F.
que (quod jam supra ostensum est) GO major ubique quam Cc; manifestum est
medium inleripiae, a puncto C, ad partes O semper vergere, ec u punctum
ipsum G aut seClat A C uplaI accedCIC. (Oux quidem intelioendq sunC, uE
e sequentia, ubt C incidic intta puu A. ubi enim supra illud punctum con-
tingie, non elt quod simus soliciti; quipre cum, non modo inscripia oO punctum
medium, sed de ipsa tota ad casdem partes polca cAt.)
2. Maniteltum item est, distantiam puncti C, 2 puncto medio, aqualem esse
lemi ditterentia rectarum CO, G0; sire B, B, (Ouippe s linea secetur cum in
Parres