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# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 56r, page id 00068073:0111
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15 Marti 2679.
Tentamen inquisitionis in quadraturas parliculares
Demonstratum est in praecedentibus schedissub simili
titulo 10 Martii 1679 conceptis) quadraturam circuli haberi
si detur secans cujus minima sit ratio ad summ arcum,
na l nam tangens complementi hujus arcus
erit ipsi arcui aequalis, arcui anterm exhiberi potest aequalis
Circuniferentia
sit Radius, Y.
et tangens T. Constat ex
Ponrg tangens complementi aequ. K (1)
onstat ex alibi demonstratis, esse
et arcus a, et secans S.
a aequ. ps at
esse s aqu. x+ t et K aequ Y
Ex  aequ. 1. fit: a aequ. +- +
Y+ +2
+ +5 +7
G74 776
et ex aequ. 2. poterit duei valor rationalis ipsius s etiam
infinitus
Nam 1  a + b aqu a + 2ab + b.
et 1) a +b aqu. a + b2ab + 3ab + b3. eC. Et ita pono
jam 1. 2- 1-
Iem 1. 3.3. 1. item
porro ita generalitem exprimi possunt:
pisi 9 vit2 a 
1 1.4. 6. 4. 1. Et ita
X. Y1 9 , 43 a. e
19- 3y+ 2V
1, 2, 3
fiant
v 3V + 2y
3V + 9
y - 6y + u y - 6y
di res desene
 ete recta descendentes
crescentibus apparere quod sit ut in seriebus
1. 17. ist 1p. etc. item
11 y. Mt.
86y)
1eF. F.
2y.
1y. 1 37. 16 y etc.
Et in seriebus transversalibus: 10. 20. 6y etc. 19. 3G. 1y etc
1y7. 6y ex.
promessionis.
Continuando facile investigabitur regula
sed et addendo
Sed et invicem addendo saltem primos terminos, fiet.
24y
 Ity 12y. 4y- 12y + 8y.
1,2,3, 4
+243 + 12y + 4 1  y
5 + 11 y = 6y3
= 12s
24 + 147
y= 6y +5 -67
seu 24 1224
1,235
1, 2, 37
1, 23,4
gerum haec additio inutilis nisi cum a. b. sunt aequales untu
inter se.
et V, y-1, y -2 aequ + 3
agu a , 28
ponendo ergo 2 aequ  fiet. By-C1 aqu
et gy.1, y- 2,9 - 3, aequ - 18 et v, y - 1, 9u2, 9 - 3, y 4 aequ. - 15 5 - 7 aequ l05 
aqu 2 0 5 2816
arb aqu a + Lab - = a b += a b et C. Et ponendo a aequ. 1.
fiet 1+b aequ. 1 + Lb - + b2 + 3 13 - 15 b+ 105 V etc. oportet
esse b quarlitatem minorem quam 1.