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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 308v, page id 00067993:0618
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=618
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e
20 20
+-8
es
20
aae t
1
proba: esto 1. P. 10. Gnt 2= 20021- a 2 (a pro 5. crit 25 2 f se
+2- a 2 est 150 150200f 4 5000 qde 30000ei
173. adimatur aj. Yq seu a 20c. remanent 27. fiat
A9. de 27. ea est plus 5. seu major dimolia chorda
quod praestare debebat. Hoc ad evitandum taentum calculi
a oferrinem fauie
isi
a 7
amp aj Lastuna ea d ae
huus tiGeur nt 11S 9 L eii odi
15
ept - ee
16 - 25
dite
44
sit
plil du
Ea vigo a
q
21221  B
rat d. ( 4  pa
a5Za, a1 + a44 a2
adi
432
22a2 
d un
abmdam 2V = R4 A,  a 4 . toligom sequentie
64daum 7
cNI
1e
p
4  a
vind
quavord
 p 4  al qaua
 10Ha1Y
E
auso aer
ratio facilis cogpitis a. t
sumon
differentiis quadratorum datarradca
on vlunus (2o en eine
Aliquando ulile est usimnque aequalium ad he
dem zolentiam rediderem Et forto had
haoe pleraeus aquad solvi possinte, auta
nit apidq redilci
it fur. 16
EI. . B poaib mB d queu
4 Es) - 4 42)  16- 4 f26t, 2. E52
16C + 16 -
13-. (-17
768
des
90
1. 5L
16 +
A stis
+ 4D
ex iemuis iou
ex B a ena + 4q6
ido ut
2486 +x2 2 C 26 j .
Radigssan esto 1Y.
Pinus lateris Polys goni esto a.  b
A. sinus Polygoni a1 se
H. radii 1. V
D Fuleri est D radii de _ ing seu a - 1)
Fulcrum est Rq. a2. Y 1Y+- a4
60
Sagitta est Radius demta Tulero seu ls Rq. D - aY
SL 32
Tentemus an sagilta aliter et commodius exprimi possit, subtrahendo
Tulerum a radio utroque redacto ad communem potestatis denon
minatorem, seu assumto utriusque  erit
Rg  a 1s H
Nam si subtrahere velis 3. a R4. 16.
Qoudratum sagiltae est:
1)  tA a 15 Ric1 a 
a2 do R4 a - 1+Y 22, - a tr
 a 1 13 + 1 - a, -25 aq 12 42 1eq. 11 - d,  2
a= eq 1t a 13
2
Aequ Z a= C 4 F R4 45 a4
X2l a er 2 26a  obe 1S + 14 - a G, R9c 45 a 4b, + a1r
Quadratum Lateris Polygoni sequentis est Quadr. Sagittae plys d. sinus aut set
polygoni praecedentiis
242 = R9. a9 13 17
Rg. 2 a2 = R9c a 1Y f 13
Sarita est: 11 - Bq 1 - 
D sagilte est  (4
a
+ra gt
+ 1a
Ta a3. = 133- 13 a
qu adu
e
ia
4 22+  + 154 = a9- 142 u adho rau, hoguire sominas diffrasdie
+ 1sL a 1
=A41 = a, 2
=R4  P. 47
st- a, Aq 4)Y= a4  Huic quadrato sagitae
2Y = eg. 4 a 45
1∞
25 - (19414 243
p nac 43 a
2 163- a,
4
b
si
addatur essinus fiet +
23 detis 1 - a
C lateris ptoluy goni sequetis.
C+d vi
2.54- 4c 2
27 - R4. 3)
an
241
oy reza
4Y-12= 390 21 4.64)399
2 d 12t00.
240. 00
306tis
B mncri tq
2 Z.Aa 1 a =  Lateris Polygoni seqieri i at
8
2 A, 1 12 a
2I. Ry42 442
Duplicato Quadrato sinus (Polus quin praecedentis) detracto a
Ryp K 94 +
 duplicato quadrato radiu; Residuum multiplicatur per residuum
duplicatum quadratum radu. Erbducti radix quadrata subtrahitur a
duplo quadrato radio: Residtui radio quadrata est
Latus polygonisequentis. Primus sinus est dimidium
radit, et primu latus est ipse Cadius lY. secundum Latus est Rq 2= R93 24
tertiun sabu est RG c 22 R 242 2 - Rg R948- 4 12 1 ((1q 144822 4 414
Quartum latus est: R4  Lq = Rq S  R4  R4 124882)-68
E Notasi a. omiltas erit 2squ_q 2Id A= 2y- eg444 seu 29 -2 150
Nunc adjuciendo a. 235241 = 441) cujytq es 2 a = 2a. riat:
2-2a 1a
la 2a + 4+ a d N d 6a a2
a
A
2241 42221254
Ern
1524
10t+ Z
134
40c. + a nano. d. 1. 411
quaerende
1 ar 406 rq
M
N
14
4 a Siq.  C = 4 a1, 27
4a
Rgae
Rq
29 1 2
2 - R948
2+
1 eC
104 a + 1 a  - 5G R9. 48
rgaq
 24. nq Sit  X. HI13
2, = 42 Ay 1344,
11- 24- aF
R91 L
91
1.
4 47
12. 18 4, p - p
2+ A912II -24C.
44 _(121- 2 e
3611 - 812 = 2944
2 4 A9+2 21
a 5- a a 103
4-Bqu a4 1 6ud
2+2282 verta-equ’aqua a
21 2- 21 a = 215. 4 1) K L 1s
ae a 10-. 29 - Ry 8ie Aq uqur