In like manner for any other chord MEM we shouldhave, RM .EM = 4&P SP RMJiM METHOD OF FINDING CENTRIPETAL FORCES. 377 Now the points P and P remain the same as long as thechords are drawn parallel to fixed directions: hence the pro-position is true. (2) In the ellipse. Through the centre C… … ON* similarlyCD2- , QV* butc^ = CD1 -QV2 ON* v PV. VPf • i r ron VTTT n Ifil i rip& ^o-iup. vm. p. 10 ijCF*-PV.VP CV2 CD* CD* - ON* CP* ~ CP1 CN2 CD-CD2 -QV2 CP* CV2 VR1 CD*- ON* ~CD~- QV2 CN*~~ ON*CD2 - ON* VR*QV2 + VR2 ON2 CD* VR- ON2 CD2 (ON2 - VR*) = ON2 (QV2 - VR2)QV* - VR2 CD2 378 NEWTON.…