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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 40r, page id 00068196:0079
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de
quatio generalis pro quavis sectione conica
2 aX = XX aequ y
Cum + significat aequatio est ad
Ellipsin, et cum a aequ. b ad Circulum
3Cum + significat, + Eequatio est ad Hyperbolam Haec intelligenda sunt, cum
a et b. sunt quantitates finitae.
(4) sed quando b est infinita, a finitu
aequatio est ad parabolam (5) quando
a et b sunt infinite parvae aequatio
est ad rectam () quando ambae infinitae aequatio est ad punctum quando b est
finita a infinita aequatio est alio modo ad punctum. Quando b infinite
parva, a finita aequatio est ad punctum quando b finita a infinite parva
aequatio est ad punctum, quando b infinita a infinite parra, aequatio
est ad punctum. Quando a infinita, b infinite parva aequatio est, ad punctum.
prodeunt enim his, explicationibus aequationes sequentes.
(1) 2aX = a XX aequ y y. (2) 2aX = XX aequ. yy, (3) EaX 4= X xaequy y.
4)
2aX aequ. yy.
(12) XX aequ. 0.
5) 4 a XX aequ yy. (6) 2ax aequ. 0. (7)  2b f X aequ. 0
(9) yy aequ. 0 (10) 7y aequ. 0. (11) XX aequ. 0.
quae sunt ad punctum sola septima est utilis
Ex iis autem
Operae pretium erit hanc generalem Harmoniam deducere ex Cono