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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 26, page id 1066518432:0054
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F18. 16.
26 DE Y LL LBOS ET MIOTFBOS CORPORDM. LIB. I.
C O R O. L. L A R F u M I.
60. t omnes pecehtix BC curra AB perpendiculares sInE, era-
nelcent anguli TBS, eritque ubique CD = F F = BC. Nam coin-
cidentibus BF e BS, rectie BV _ BY aequales fient ipsI BS, 8
OT = CS; unde cum (Constr.) sIE CD: BC =BV: BI Aet omni-
nO CD = BC. Sic etiam quia TE: BC =BV. CT: SC. BI, e hOc
calu BV = B5, CT = CS, ee BT = BS, ratio BV. CY ad SC. BT
exit ratio equalitatis, atque adeo E F = B6.
C O R O L L A R Y U M TI.
OE. EF SI PEXtCred Omnes BO inter se aequaleS FVICrINE, AgUEX
mixtilinca AACB _ AXFE mucabuntur in parallelogramma
rectangula C AX _ F AX.
COR OL L A R L U M TTI.
62. Oie  IMSCS currX AOM punctis potentix perpendicu-
lares currae, ec omnes inter se xequales BC applicatae sint; ris to-
talis qua curra AOMI urgebitur, cadem erit ac vis totalis, qua ur-
geretur currae basis AMI, si etiam linsulis ejus punctis potentix x-
quales ipiS BC, e basi AM etiam perpendiculares applicatxe cNeHE,
aEque adCO CZPONCTUE rectanGuIO MAXZ. Nam descriptis circa
curram rectangulo ME, P. A, CujuS latUS FP baMI xqualis FaNGAL CUIT-
ram in O, _ ad latCTA ME, AE recFanGUIIS MXFR, AXFF, cOn-
Tideretur basiS MA inCtAT aXIS CUEVX AOM, ex quoniam sccundum
hrpotheln omnes potentix BC currae normales lunt atque inter le
requales, Crunt (5. 6T.) cf = CD = BCr X hisce aequales existent
homologx linee respectu cujusris alius currae puncti B; adcoque
omnes potentix currae parti ABO normales, equipollebunt dua-
bus potentiis, quarum una axi perpendicularis exponitur roc- l0
AZOP, alteraque axi parallela exponitur rectangulo AZFB. Sic
etiam omnes currx OBMI potentix aequipollent duabus, quarum
una axi perpendicularis alteraque cidem parallela, ec quarum hxc
rec- lo M LFF, illa verO reC- IO POZMI exPOnItuT. AEqui ob x-
qualia rec la MF. FX ec AR. LX, Potenciae axi AM Paraltalae et
directe oppolitx pertinentes ad CurrX Partes ABO, MIBO, utpO
te inter se aequales, se mutuo elidunt, solaeque potentiae aXi per-
DeA