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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 606, page id 779782283:0692
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=692
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 86 lines, status machine
# Lines: 86 recognised, mean confidence 0.91
# 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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606
P A ZSTCE TR ACF A FVS II.
FNT; lonoicudo seomenti excanris ior quadrupla; Sed admoca poren.
(IEMHI; sic Pondus appentum in N; cia in Y, dc adcucence prilma per
Ec perpendicularis deortum PIQ;
horizoncalis vero MQ; dico, mo-
mencum inclinari FH, esle ad mo-
mencum non inclinari, cuius Ion-
GICLIdO SIE MINT, VE MO, ad MN;
hoc est, re linus complementi an-
suli inclinationis, ad linum torum,
re patet ex dictis; modo scilicee
verumque momentum, aduertus
camdem balim, Ccilicee minimam
F.M, accipiaCII.
PROP. XC
Fieri potest vt sit minus momen-
tum, aduersus minimam basim, quam
aduersus affixam ratione resistentia
respectiua: Sic enim pocentia appli-
cata in V, adducens prilma, Per
Parallelam TZ; SIEgue V. 8. MY,
Tubdupla EM; YC est maior qua-
dcupla MX; nempe MY est lacuS
quadrari =. Ced CY, est maior la-
rere quadrati 4. posito quod CM (IE
latus guadrari 3. FM, lacus qua-
deari i. C. F, lacus quadrari 4. Q HY
Lubaupl3 EM; igicur Cubquadrupl2
CF; nam li CY, eNet aequalis FC,
MY eset linus vertus anguli FCY;
sed inus vertus anguli 30. orad.
non est subduplus, sinus recti, eius-
dem anguli, id est EM, quae cum
SIF 50000. ex doctrina sinuum, eius
Sinus versus habebieur. A derrahas
CM, id est sinum rectum, anguli
60. id est 86603. Cx SInU FOTO
100000. nempe reliduum 13397.
dabic snum versum quaelitum, qui
non modo non est (ubduplus FM,
Sed ne suberiplus quidem; igieur
CY est maior CF, igicur maior est
rario CY, ad MY, quam CF, ad
Parallelam FM, momeneum ad
vertus balIm FM, est ad momen-
eum aduertuS FC, cacione reliCen-
ria respectiuae balis, in ratione
. ve lupra dccum CA, aC VeTO 12-
eione vectis, momentum aduertus
EC, est ad momentum aduerlus
EM, vE CY, ad NX. hoc est in
ratione maiore = igicur plus crelcie
momentum aduersus LC, Lacione
rectis, quam decrelcat ratione re-
Sistentia; ioitur aduertus FC maius
eAt momencum, quam adueisus EMI;
igicur heri porest, ve lic minus mo-
mencum aduersus minimam balim
quae est FM, quam aduerlus atlixam
quae est F C.
C O R O EL.
Primo ex dieis colligo, possé
decerminari punctum, in prisimare
inclinato, cui si porentia adinoueas,
momenta aduertus balim affixam,
e minimam, crune aequalia; (
enim distantia, seu rectes, sint in
eadem ratione, in qua Cune quodra-
ea balium; inde relultat necestario
EQUALIFASHOIENEOTUII; V g. Cum
quadrarum CF sic ad quadeatum
EM, in rarione =. C a Fumary
VHI, quae SIE adYC, in ratione
2. Quod hic Cuppono, ad vicandam
characterum confutionem, crie
momentorum aequalicas, adueisus
EM, CF; nam inomencum aduer-
TuS CF; est ad momeneum aduer-
TUS EM, Farione basis, in ratione
Fatione distantiae, seu rectis, in
ratione =. compolica eric =. vides
aequalicacem.
Secundo, hinc (I aNIIMATDE MK,
NIZ; Sed rariO CF, ad MY, est aequalis CR, admora Scilicet po-
Eisirur ratio CV, 2d MV, est ma- centia in Y, momencum adueilus