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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 234r, page id 00067993:0469
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Operae pretum esst quaereae Curvam homologam figurae segmentorum
et
staxix
eju quadr.  ablata unitate = 2ar - x
24X - X
Zar. X)
fiet
1 X- 2ax + X vel x. 2a + X = Y - s2x - 2a
stax- X
2a - X
a
a
2a-x=
vel Xa = Ego 3 = 2X - 2a Et 2a3 =- x5 =- 2 a. 2a
2a -x
Et 22y = 2Xa - 2a + Xy, vel 20y - 2a - 2X a - X y)
vel 2ay- 2a = X. Huus ergo figuraequadratux
2a - y
Curvam habet segmentis crculi homologam
si sumas  anteratque C, fet quV fiers 2- a .
a + y
 cus H,
a+ y
 2a5,1=  e ablato 1 2 =- a - 2ay eyt
a + 24y + y7
sive  a 2a huus figuraequadratux
a + 2ay +y
curvam habet 
 punctum aliqod aequalisi semper feratur versus
rectam a recta AB versus rectam CD, iis
legibus ut motus semper sit aequabilis sive
uniformis, tempus autem talem dd recta tamen,
quo divisa Et tamen rcta BC. divisa
in partes aequales infuitus per quas pvictss
B. E F.G. per quas parallelae infinite product
transeant punctum A ponatur ex recta
B. venije in rectam E, tempore aliquo quod
(ulcunque infunite pa 100) quod appelletur a.
ex E veo in F tempore a +1, posito 2 esse
infinitesimam temporis partem et ex F in G
tempore a +2, et G in H, tempore a +3 2t
simper ut velut B. H. C. 9. est ad BE ita sit
qeecesse cemporis ex  . sit ad ad excessum accessio
nemitemporis ex E in F, atque ita differentiae tem
porum, erunt ut quadrata altitudinum seu dif
Nam tempus quo perotuntur ex B in F, erit a ductom
in numerim terminorum hoc loco 2, = 2a + sem
quadrato ejusdem, 2, Rectius cum BE, sit 1, erit
acc essus (Ergo ex b in E feretur tempore 1, ex Em F tempore l +
ex F in G tempore: 1 + ∞. ex  in A, tempore, 1 + 3 ex H in 1. tempore 1 + Z ea
 B52
a
sunt crgo temptuo 2at 4 L = y Bu ab
de Quadratrice Hyperbolae
eit longitudo rectarum seu spation per ex B in G tempore BG+.
et 1x B i 1, temport haB1 + 8,