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# Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C
# Folio 51r, page id 00068193:0103
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de
Sect. 1. Cap. 3. De Ductibus
Prop. 16. Probl. 2.
vantitati dimensionum plurium prapontionalem exhi-
e quantitatem dimensionum pauciorum
Conttat solidis vel superficiebns eahiberi, posse lineas or-
(FEg. 1.)
dinatim respondentes, ut si sit itogonium planum Ok G eujus
ay
quaevis ordinata GK sit proportionalis ipti PQ, vel ipri AYL
Ce
sectioni superficici vel solidi per unum ex planis ad rectam DE
isogonus facta, quae et planum OkG secant m RG; datet Lo-
gonium OKG ipsi superficici vel solido ette proportionale.
Sed dimentionibus qua solidum transcendunt nec proimde fi-
3
et
pC
garis perfecte eachibentur, nihilominus exhiberi possunt, fi-
gurae, plana (si lubet) perfecte proportionales. Etu enim n
finite sint varietates gravitatum specificaeum no aliquo solido.
non
fieri tamen potest, ut quod libet ejus punctum habent gravita-
tem specificam nullu alteri ejus paneto communem, nam qua
vitites solidi variantur tantum infinities, cum recta iptis pro-
e
portionales assumi possint; sed punita solidi varrantum infinitis
c
L.
vicibus infinitesies infinities; necesse est ergo in solido infnities
infinita puncta solidi eandem habere gravitatem peuficam (per
prop. 14.) et prando eadere im superficiem (per prop. 15.) Unde so-
sidum in sua elimenta solida procima dividitur eeu resolvitur
1.
per infinitas superficies, et tus elementis soldis totidem per
plana
ordinatas in figura plana itogonia applicatas elementa prapor–
fionalia exhiberi possunt. His autem superficiebus solidum con-
stitur dieo, non quod componant, sed quia omnia ejus punita line-
asqe atsorbent, exceptis forte quibusdam determinatis: uti super
ficies cylindricae cylindro in scripte absumunt omnia ejus pun-
eta et lineas, praeter axem.
sed placet met hodum exhibere in exemplo. Sit (Fig. 16.) So-
lidum