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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 188r, page id 00067993:0377
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equationes locum ad crculum exprimentes
stohiaus rcctengulo AC Bs C. adcum pepsabus
AB, b. AC, C. AD e  CDR V
erit e bx - 1 Y + y
sit Recta AG. AE. anguilo quolibet BAE.
adquam ex puncto C. in cuiva concatur perpendicularis
(5D. CG. vocem AG, Z, e CG V
Tiangula CDF, AGF ABE similia sunt:
V EF CB ac Ergo CD CF y CF a
et et H Ey  FDBVF 
2CC
CF A e
in AD sie X AFDFD, sve AF ( Sun y.
ano AH
CFE Egd AFB CZ. Ego XB EZ() S V.
cD
a
CG H G () C F sue v, ( a V +: FG. MFGAB FDnDV..
+ AGIR
Ergo FG1. sin Z. Ergo v  ( y + J.2 Z.
Et Et Ve (4 a V (4) a Su. Z
e
Ergo XBah as R -
Suc X+ (eZ + E B (2
e. Z
+
aq
2
Ergo X af Z
Egu Eigo 1 Yi  12 - 2 . VZ + et 9C ad
2a
1  iaes BZ
et X rC B + 2Su. VZ re , sut A91 6 
lide aequatud Rerior explicatis X et y. talis erit
2
1
ba s V + ba 3 - 1 V = 2a S.. VL
 + a c
-
E. ZA e
(au )ca..
+
1
eiZ
14. s. YZ + 1 Z (4) ca1) ca Z
et is quo se destunt lablatis, fred. ba s. V. aba Z - v- 21,
ees
er
Hince con sequendiae daci possunt non contemuendee efrimum anim ita habetur
locus trium arbitrariarum, C. b. c. et adhuc duarum,  explicatis Z. et V,
V e
Imo fuissent adhic  opinor, si ab initio. loco le  t adt buistemus:
bx X + Ba 5 + Cy. eadem enim Da addenda et productae. Habemus ergo
aequationem ad Ciculum hane..  22 + v2 - ba L
 quatuor
(4)
 (+) ca
Hinc l guntitates in andeterminala. B. C. F S1 - a. D. a se inicem indes endentes
Tempe ptue sic fier. C Z2
2 B2  - b Z - b sud B = 6 0.
(Vc.
(+) 
.
Quod infiguis est usus ad aequationes ad Circulum determinandas. Farle aliae adhuc
provenissent incognitae, si AG et AB non se secuissent in puncto A. item si
punctum intersactionis in Circulum non incidisset aut certe a puncto A in Talitudine est
etiam aberrasset. Omisso autem, 6.. Hujus aequationis ope tamen sutis
indeteminatam videtur obtuceri posse, sine extractione radicis Ponendo v.g.
V p co + a. unde c et yd
ita Quod usum habere potest ad evilandas
+1 = ba 4 = ba su c0, + d C
ambiguias radices quarum qua lineae praeparatoriae,
(4) a..
e
comparemus hanc aequationem cum ista:
e
() ca..
e ba
( cada
  dmabliplaatus
22 4co + (y + mco + na po
fiet Om ina Ego dB na Ego. Ergo -ba  a + 2na  m.
-b2
 ce ⊓ 1.
-ba sud (4) ca S.. (4) ca sud (+) ea 4 na m. fiet
lsu +ca sim +Ca +na p m. ponendo jam e BC. fiet.
vel eta ponendo e aequalem cuidam cognitae minori quam a, caeterahabem,s sed
si en sine radicis extractione desideramus, quadranda sunt omnia, et postea explicanda
quaedam. Jam si loco ipsius eb aliam CH obliquam substituas, quae sia is t
MZ et vr  t. ed GH s1= a B
At, sine s  AG sire ZB. AH - GH, sive ZBs- sun t. Et gd  5 - 2sm st +  +t
et AH 15.. Ita ut
D
cG1s
vot er e
u   st - ba s.. 5
1
12
bact 
N.
tu
b - ba sudesum b - l ejo 2)
1 2
1V2C. L. 1.