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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 1
# Folio 8r, page id 00067956:0015
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si paraboloeides sesquialteri gradus AB, cujus a,
tangens vertois AD, vertex A, tangens verticis AD, evolvatur
ad juncta ad filum recta AE, quae sit 8.24 lateris recti parabolocidis
discribetur Parabola EF, cujus latus rectum erit bis EA, unis EAD, et
ad eam normalis BG BGF, (aequalis AB+ EA BA + AE) tangens curvam
AB in B, secans axem in G, erit _ Ex puncto F in rxem agatur ordinata
FK, fiet RG = AE, adeoque EK = AG
similiter evolvatur
alia (A (B) Colet moda pescta,  indefinitesime differens a priore
et punctum intersectionis sit  Y, ex quo in axemagatur YX
Ad, Z ED, V latus rectum b. fit 2 = hvo EA, ek: 27, ser KG EK, 9 KF, c, et
(1)
fiet aco = 1bh. 279 sit CE = AC e CK = EK + CE = q+ e  Y et ex aeq. 2. per 3 fit
C0co= 16: 27 et tr-he. quaeritur punctum intersectionis, Quod fieri potest, differentiando
aequationem 4, ita tamen ut a sint contanter et Y sint invariatae in differentiando, h et e, variabi
et fiet rdh - nde- Pdh = 0 oportem autem relationem aliquam sumi inter e et h, ea
enim arbitraria est, ponamus verb. g. e = h seu CE = EA, fiet de =dh ergo ex 5g. 5. firt
in cosa parso Y = 2h = 2C seu in casu concursus Y, fore CX = bis CE = CA, seu coincidere X et A.
et quia in casu concursus est r = X et c0 = y ergo ex Z et 8 fit h = X: 2 ergo ex aeg. 4. per 9et 10
fiet: gy = 1b:27 XX: 2 - XX: 4 seu yy = 4: 27 XX seu y = 213X: B3 locqus ergo omnium
intersectionum est recta CY, quae omnes parabolas tanget, quod et ex eo patit quod