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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 234v, page id 00067993:0470
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Composita ex laberitus ordinatis trian-
tettutu
are
sapplicala figurae cuus talis est aequatio rax +X y. bolici ut)
Unde fit 2ax + x = ya, seu 2aX + x + a = ya +, a. Unde
fit Tux. X+ a = 5y a + a eu X = 53yb. , posito
esse X= siquod ante xta,   b- 
fle
Ceunt ergo tempora ut applia seu X = N ya. posto
esse X = ci quod ante X + a. et e y esse = ei quod ante y + a.
igure
 Ecce ergo habebimus definitionem Quadratricis:
xitona qen tam. A
tur aed obliquato ita cursu, ut tempora quius ex p descensuum
sint ut applicatae parabolicae ed basi parallelae, carundem
semper altitudinlm seuper; moto suo describet crvan, quae
quadraturam Auperbolae dabit.
Fgum segnentorum Hyperbolae eptopior: Xa. - y. Unde X a = 2a07 4 17
seu Xa = 2_y + Xy, sive Xa = Xy = 2ay) vet 249.. = X.
a-y
Vaxtx
eabium p data Xa elus duplo xa otentemus invenore homne
lino homogenea tam
sraxtx
geneam, fier: EX
S2qr+ X
SLax-X
et ejus _ erit 2X
axtx
tiae
+ b
2axtx
3X = 2aX = 3
ZaX - X
a
3X- 2a
= 2a -X