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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 111v, page id 00068531:0222
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Imo etsi more sartesii compares aequationem cum
duabus radicibus aqualibus, res non succedet.
jam vides eiorem si AB. et BC aequales non, nisi
uno modo eligi potest punctum B.
AD + DW  seu AW aequ. b
DBaequ. _ 3.
AB aequ sX 131
debent esse
VE+ EC seu WCaequ.  C
Ad aequx est data.
BC aequ.  b - RX + X + c= 2Cy + st
Ier ACr b- abX +X + C. 2C9+ 8 aequis
omnium possibilium minima. u sunt dane
omnes literae sunt datae praeter solam
Descuipta ergo intelligatur chiva F. cujus ordinatae
 Nd. DB repraeseiient horum rectangntorum aggregata, s.
moricua
minima cr figurae stitudo. Ideo quaeratur primum tangens
14
quae
currae dein de quaesitur tangens ipsi axq DB parallela.
quaeritur ergo as est autem a ra aequ val etta
= Na Y sa +b aequ.  ds. seu  + tarb -espat ab
seu aequ.  d, seu 2a + b - as au 2a + ab.
adesque (a +4 ab) 4a ds- 2b a2
sergo
d
n
aequ 4a
+ 4Y
aequ (44 + 4ab
 Ce uinit a + ratbrgo e. seu fra ego e f rarb
ergo (a) aequ e 4 2C Va +b + (a + b
vel Freratb aequ. b+. Ergo HC a equ
seu e aequ.
2Yxa