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# Title: Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5
# Folio 136r, page id 00068534:0267
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 135v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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repraesentat gravitationem totius rectanguli lFG
excentro B. Quaeritur jam quomodo exhibeatur
potentia seu gravitatio, rectanguli _FG. ita
ut C sit infixum in brachio a. Id ita fiet:
investigemus tantum potentiam seu gravitatio
nem dimidii ejus EiF. fis. 4.Id ita fiet: Triom-
gulum EIF. vel aiF fig A: intelligatur
locari erectum super ai figurae ste. atque
ita duci intelligatur in Trapezium fig. S.
iFGn Poductum solidum erit repraesentabit
potentiam triangul aif Quod solidum ita
computabimus: Ai fig. 5. est R427 FG.
est 3. Factum ex iptis R4 24 area Rectam 32
guli iFG. hoc ducatur in  if R4
fiet Rg 6561 cujus dimidium est R96561
32
18
Jam ut est ba R43. ad FG. 3. ita est
GP. vel ai. Rg 27 ad Pn. ert
R4 27 = R 4 Z = R9 243 X R43 - R9 243
2
Ducatur in ai R4 27 - xq 2Y3 - R96461) 2187
tujus dividium Rg = 17 Hoc ducatur in
if R4 27 - n1 2 187 productum dividatur
per 4. seu A9 16. fiet R4 7 - - 16221 - 28
Addantur in unum: A46561 + Aq 59094
productum erit summa potentiae Trians ut. EFG.
16
edtumen  im duplicetus
ob duplum trinngulu 1FE. figs. 4
Sed inered si in versum intelligatur Frianyrilum,
Basi versus centrum FG verus centruus rectis convexa, ut
erpen
cnlarter
in fig. 6. ubiba. incidit in mediam FG. ducendum
quidem rursus est in Traperium iaGn. fig. S. dimi-
dium trianguli EFG. nempe ei F fig. 4. aul
aEF fig. 6. sed eo discrimine, quod altitudo
Trianguli IF (Fig. 4) insistere debet ipsia.
figurae 5. et apex E epsi  i fig. 5
Ita pro ducetur quidem idem quod ante re cangulum FGP. fig. 5.
nempe R4
1
2.
243
1
6561
2187