Philosophiae naturalis principia mathematica . Coroi, PRINCIPIA MATHEMATICA. >. Corol. Hinc refta duci potefl; cujus partes longitudine darae reftis pofitione datis interjacebunt. Concipe triangulum ©^i^,Primupunfto © ad latus EF accedente, & iateribus 1)E^ D F di-reftum pofitis, mutari in lineam reftam, cujus pars data 1)E rec-tis pofirione datis-^^, y^C, & pars dara Z)i^ redis politione daiisAB, ^Cinterponi debet; & applicando conllrudionem pr^ceden-feem ad hunc cafum folvetur Probiema. PROPOSITIO XXVIII. PROBLEMA XX. lCrajeBortam fpecie &^ ma^ttudtne datam defcnhere, c«/«jpar
Philosophiae naturalis principia mathematica . Coroi, PRINCIPIA MATHEMATICA. >. Corol. Hinc refta duci potefl; cujus partes longitudine darae reftis pofitione datis interjacebunt. Concipe triangulum ©^i^,Primupunfto © ad latus EF accedente, & iateribus 1)E^ D F di-reftum pofitis, mutari in lineam reftam, cujus pars data 1)E rec-tis pofirione datis-^^, y^C, & pars dara Z)i^ redis politione daiisAB, ^Cinterponi debet; & applicando conllrudionem pr^ceden-feem ad hunc cafum folvetur Probiema. PROPOSITIO XXVIII. PROBLEMA XX. lCrajeBortam fpecie &^ ma^ttudtne datam defcnhere, c«/«jpartes datds reBh trtbus pojitione datis interjacebunt, Defcribenda fit Trajedloria quae fit fimilis & squalis Line^ cur- -yx^DEFt quasque a redis tribus j^By AC^ ^C pofuionc datisj. inpartes datis hujus partibus T>E &. EF fimiles Sc gequales feca-bitur. Age reftas *D£, EFy T>Fy & trianguli hujus T>EF pone an-gulos ©, ii, i^ad reftas illas pofitione datas (per Lem. xxvi.) Deincirca triangulum defcribe Trajeftoriam Curvae T> E F fimilem &aequalem. ^ M LEMMA 92; De PHILOSOPHIiE NATURALISL E M M A XXVII. Trapezhim fpecte datum defcrthere cujus anguli ad re&asquatuor pofitione datas, qu^e neque omnes parallela funt^neque ad commune punBum convergunt, fmguli ad fingulas confijlent^ Dentur pofitione reftae quatuor ABC, AT), BT>y CE^ qua-fum prima fecet fecundam in ^, tertiam in ^, & quartam in C:& defcribendum fit Trapezium fg h i quod fit Trapezio FGHI
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