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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 81, page id 779782283:0167
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L1B. II. DE COMERESSO ET TENSO.
repiaesentabit relocicarem acguisi-
tam, d cora chorda; _ Si a suIman-
cur cot rectangulas criangulis aequa-
lia; ub eadem alcicudine, habebieur
cuncus, qui camdem relocitarem
dabic; V. ∞. SIE AB, alticudo, seu lon-
sicudo chordae; sic criangulu AFD,
relociras acquisita, ab extremO
puncto mobili; reducatur in re-
ctangulum aequale F V, SIc rectan-
sulum AO, ducantur YB, NVO; vides
CunCum ANOB; altumatur enim
quodlibet aliud punctum chordae,
v. 8. C; cerre s velociras acquisita
ab extremo puncto A, SIC VE CrIaN-
sulum AFD, cuius alcerum lacus
AF, est tempus reductionis, alcerum
FD, est velocitas initio, certe trian-
sulum 69S, erit relocitas acqui-
lica a G; est enim ad priorem, Ve
triangulum Tub aequali rempore
61, quod ett aequale AF, e Lub re-
Locitare inirio (15, qua est ad FD, VE
OO, ad FO, vel reCB, ad AB; pari
inodo rriangulum LPR, est reloci-
Eas acquilita a puncto l, idem dici
debet de aliis punctis longicudinis
BA; isicur Colidu AOD, quod est py.
xamis ub bali AO, de alticudinc FD,
aequalis cuneo ANOB, est veloci
cas acquisita a rota chorda; re enim
rectangulum ANV, cA aequale crian-
gulo AFD, ica rectangulum OZ,
aequale est trianoulo AVS; d re-
ctanculum L s, aequale criangulo
L. PR; idem prorsus de aliis dictum
Sic: eA autem py FamIS AOD, aequa-
sis cuneo AAIOB, Tub alcieudine
FD, qua est prima velociras, leu ris
AnOTuS, qua puncto extremo in-
est, initio reductionis, de (ub BalI
AO, qua est rectanoulum sub cem-
pore reductionis AF, et lonsicudi-
ne choidae AB.
PROP. CV
Tlinc delocitates aegasm a di
duunt, sunt ee praedicta pratbs
quasi resattantes ex collectione pla-
norum triangulorum: IlaeC propo-
Sicio sequitur ex priore; nempepro
diverlicale centionis, ec longicudi-
nis; eMt aluerla pyramis, igicur di
verla rerocicas acquisica, re clarius
ConMtaBic; ex iis, qua dicemus in-
tra, nempe haec omnia re dictin-
ctiora linc, in certas proposiriones,
pro diversis coniugationibus distri-
buimus.
ROP. CVTI.
Si sit eadem tensio, sed diversa lon-
citudo, duarum chordarum, velocita
tes acquisitae, sunt 2t cunei, guorum
alcitudines, sint et loncicudines: ba-
Ses vero, sint rectangula, qua repra-
sentent iocam velocitarem, acquisitam
ab extremis punctis, iuxta prop. 89.
sunt autem haec rectancula et excessus
censionis; vel et ipsa longitudines
chordarum, cum altero lavere aeqnali
virinque, in viroque triangulo, et
isidem explicatum est: FlaeC PFOPO-
sirio es per Spicua, nempe velocita
ces lunere praedici cunei per Prop.
100. Sed cunci, suppolica aquâli
censione, de longicudine inaqualis
Cunc huiusmodi, VE Patet ex PEOP.
89. Cunt enim rempora ve lonrieu-
dineS Pet PFOP. 92.
PROP. CVTTT
Si sit eadem tensto,  alnersaton-
siudo duarum chordarum, prae-
dicti cunet sunt in ratione duplicata
suarum basium: Si enim eslet aequa
lis alricudo, essent ve bales; li X-
guales bales, ellene re alticudines;
igirr
B. 3
versis chordis rensis, dum sese resti-