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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 143r, page id 00068196:0283
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27 Martii 1679
superficies Coni scaleni
Hanc jam olim desi exhibui, nunc
repetam
sit conus scalenus sCB. curs
basis circulus CAB superficies
qui ponatur esse polygo
l
num regulio
Dinfinitorum
laterum, ex quibus unum
sit GF portio Tangentis in
A. patet aeum riangul
fore superficiem comscaleni
componi ex triangulis quale
est SGF. cujus basis GF est
unum ex infinite parvis circuli
stolygoni infinitanguli lateribus;
area autem est minima sE in tangentem
FAG productam si opu danissa. Cum ergo
in omnibus hujus modi tiangulis eadem sit basis
tantum quaerenda est perpendicularis seu
minima ex Sin FG nempe SE. haec minimo
ita quaeretur: Demittatur ex S. in subjectum
plinum baseos perpendicularis D. ex
dicatur quaelibet ad rectam FG si opus productam
pater triangatur SDH fore rectungnlum
a
eoue quadratum ipsiu SH componi ex quadratis
D semper ejusdem, et ipsiqus DH. Erigo minimum
erit cum DH omnium ex D in rectam FG minimo
est, id est cum est perpendicularis DE. adeoque s2
erit quaesita altitudo tripnguli SGF
an ergo in plonum ita traducemus: