Philosophiae naturalis principia mathematica . ^-^^B-7^.C-&c. 3. ^yi Arcus capiendiis Jit in ratiane data ad aliim Arcum : Eflodiameter Zld^ chorda arcus dati zia;, & arcus quaefitus ad arcum illum datum ut » ad i; Eritque arcus quaefiti Chorda z:7za; + ^^^XX K + li^, xxB +1^, XX C + f^,xx D + i-:~i XX E + &c. Ubinota, quod cum n efl; numerus impar, feries definet efle infinita, &evadet eadem quas prodit per Vulgarem Algebram ad multiplican-dum datum angulum per iflum numerum ?/. 4. Si in Axe alterutro A B , EllipfeosABD (cujus centrum C, & axis alter DH)detur pundum aliquod E, circa
Philosophiae naturalis principia mathematica . ^-^^B-7^.C-&c. 3. ^yi Arcus capiendiis Jit in ratiane data ad aliim Arcum : Eflodiameter Zld^ chorda arcus dati zia;, & arcus quaefitus ad arcum illum datum ut » ad i; Eritque arcus quaefiti Chorda z:7za; + ^^^XX K + li^, xxB +1^, XX C + f^,xx D + i-:~i XX E + &c. Ubinota, quod cum n efl; numerus impar, feries definet efle infinita, &evadet eadem quas prodit per Vulgarem Algebram ad multiplican-dum datum angulum per iflum numerum ?/. 4. Si in Axe alterutro A B , EllipfeosABD (cujus centrum C, & axis alter DH)detur pundum aliquod E, circa quodreftaEG occurrens Ellipfi in G, motu angulariferetur; & ex data area feftoris EllipticiBEG, quseratur reda GF, quffi a pundloG ad axem ABnormaliterdemittitur: Efl;oBCz:^, DCizr, EBzi^, ac duplumareae B E G zi ^ ; & erit G F — f ^ — —— z^ j- i^ir^ai ~.s — ti^crtr^ g + &c. Sic itaque Aflronomicum illud Ke^ refolvi poteii 5. In eadem Ellipfi, fi flatuatur CDzz^-, §Jz:r, &CFz:a Erit. F R A G M E N T A. 17 Erit arcus Ellipiicus DG=^+,^.^+7^, V + r^,*^+,,-;^.v+,-ibA-+&:c. 40rt iKicJ ii,tH^ 22r3^ -g— facit -^, numeralem coefficlentrm infi ni rermi
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