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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 105r, page id 00068199:0209
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seu radium
 ata relatione inter. Arcum et chordam, vel aliam ex
coordinatis, vatur solutio per quadraturas
Detur i rela (in exemplum) relatio inter AB AC et EC, seu
seu inter radium et arcume emissam et arcum sit emissa e
areus etC sit c, et detur relatio inter C et C per aequationem
quaeritur curva. _Circulo centro A, radio quocunque AB describatur
arcol circuli arcus RMN, et per puncta C ) Mmissae exA,
occurrant arcui circulari in M, siatque duae sibi vicinae AC
Ex C in A(C) agatur normalis Cd erit CD ad M(M) ut AC ad AIs
RM vocetur m fi et AR a fint CD = ∞ dm. C: a et
C(C) seu de  de jam C (Gqu. = CDqu. + D(C) qu. Ergo
Data sit aeq. L)
fit de de = dmamee: aa  dede.
Unde differentiandos Dabitur
ex hibens relationem in ter c et e
3) valor ipsius dc: de per e nam differentiando Tolli potest C. Et pro de substi
ordinaria,
tuendo in aeq. 3. valorem ex aeg. 1. habebitur aeq. (8) in qua dabitur dui per
id est problema reductum est ad quadra
furas. Sed duplices. Nam inventa summa ipsius a dm, rursus decude
ex m du: de per e.
opus est dimensione arcus circuli, vel saltem descriptione lineae
sinuum aut similis ad ducendam hinc hinc punctum m, nam
absoluta quadratura habetur relatio inter AC et RM.
s aeg. L esset transcendens primi gradus seu differentialis
at 4+
ad sollendam C opus esset ire ad differentio differentiales. inde
∞y.
haberetur aeq. 4, in qua ami, dam, e, de dde, quod polest reduci
dedde = de
quod aequivalet
ad ordinariam problema, fangentium posito ad
inde enim colleudo e,  superest am, dam, de, dde,
inter curvam d emissam
ordinario laagentiam judersorum problematu.
seu radium vel chordam, locum etiam habet pro relatione inte
 relatione
aterum quod diximus
Ecurvam, et alteram coordinatarum vel aliam sunctionem
absolutam.
Nam secu est defanctionibus