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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 33r, page id 00068195:0065
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datis duobus punctis A. B et 
circulo cujus centrum C. Dadius datus
ducere rectas, concurrentes in
puncto circuli E et tonseuntes
unam per A et aliud punctuo
circuli F, alteram per B et aliud
punctum circuli G. sic ut EF et Eb
sint aequales.
Hoc problemi ut patet duas habet radices
possit possibiles pro punctis E. et (E)
duas vero impossibiles ab adversa parte
jungantur duo puncta E. et (E) patet si quaeratur
recta E(E) vel etiam si quaeratur radius circuli transemm
tis per tria puncta E. C. (E) ejus dimensionem problemalis
fieri minorem. radio tamen illo habito. HC non ideo
solutum est problema; nisi habeatur et punctum H. Ejue
ergo quaeratur distantia a puncto inter C. inte
A et B. data medio. Quibus duobus inventis, habetur problema
nam centris L. et C. descripticirculi radiis, 1 er CH
in H intersecabunt et centro H. radio HC. descriptus
Circulu secabit circulum datum in punctis E. (E) quaesitis
Ematur distantia H a recta HB AB hari omisso puncto L. hoc emm
item distantia a recta CM perpendiculami a C in AB. Inde
cum facile habetur punctum e adeoque et distantia ejus a C. sed quo Et
quoniam fieripotest ut, centrum  in cida
in ipsam rectam EE) quo casu, non posset
invenori centrum circuli per EC(E) ranseuntis
nisi infiniti, hiec oideamus satius erit dari
radium videamus; quando nam
E. C. (E) incidant in unam rectam
hane bi Risecetur angulus GEF id frat
per rectam EC incidentem in centrum
scilicet quando puncta ZE
cadunt adeoque et LC(E) cadunt in eandem
rectam
sit EN aequ. y. NCX M NHX. AB AC. D,a
AB e b.
CMC.
yy +Xx Paa - cc + 2cy.
tier: et vv + ZZ aequaa - cc + 2CB
DEGH v. MV,iZ
et FP Co et nE 
fier: coco +  Y aequaa -cc + 2Cco (4)
 ob GE EF fit 1C-y. v = co aequ x. Z+ 1
 d- Y et (+x (6 10 +Z ope aequationum
ufficit.
Habenus 6 aequationes ex 6 incognitas per calcullum alibi initum. Oge aequationu
4 et s inveniemus con et YC, nam per 5 est cop d 1p y et per 4 est cop c = y B - Z L lpX
d. H 47 seu cod
compendii causa: d- X vocemus. 
seu co+ 2  similier
et e+ F oc cemus V. fuet:  
sen  comperdio nocant B fet. eut 24 eaqu 2+ B
Cy
per
l-