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Philosophiae naturalis principia mathematica (1723)

Newton, Isaac, Sir, 1642-1727, Cotes, Roger, 1682-1716, ed, Adams, John, 1735-1826, former owner. BRL, Adams, Thomas Boylston, 1772-1832, former owner. BRL, John Adams Library (Boston Public Library) BRL · Amstaelodami : Sumptibus societatis · leaf 557

An illustration from Philosophiae naturalis principia mathematica, 1723, leaf 557
li^gS&c.EtficinFeliquis 4>. DE ANALYSI AppTtcatio pradtBorum ad CurvasMechamcas. Et h£ec de curvis Geometricis dida fufficiantetiamfi Mechanica fit, methodum tamen nof-tram nequaquam refpuit. Exemplo fit Trochoides, ADP^G, cujus ver-tex A, & axis AH, & AKH rota qua defcribi-tur. Et… … ■ TTj-xS &c. Quare (per•, &c. Et fuperficies (=v^^)—at — TAr — \x — -j\x\ &c. & (ex L L I I praedi(ftis) arcus AS.=x■v\x-\-~x^-f^^ &c. Ergo tota BD z=xx~—ix^—.i^x^—.j\x% &c. Et (per Reg. X.) area ABD x L 1 ?. = fA;—^\x—jX^ — ijiX^-j &c. Vel brevius fic : Cum refta…

Mechanics · Celestial mechanics

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