The mathematical principles of natural philosophy (1803)
Newton, Isaac, Sir, 1642-1727, Motte, Andrew, d. 1734, Davis, William, 1771-1807, Emerson, William, 1701-1782, Machin, John, d. 1751, Newton, Isaac, Sir, 1642-1727. De mundi systemate. English · London, Printed for H. D. Symonds · leaf 93
cate fort of problems^, as wellby trigonometry as by arithmetic, without thofe perplexedcomputations and refolations of afFe6led equations which hi-therto have been in ufe. LEMMA II. To cut three right lines given in pofition by a fourth right line that Jhallpafs through a point ajjigned in any of… … AB draw DG meeting BC in G; and, taking GF to BG inthe given ratio, draw JFDE; and FD will be to D£ as FG toBG. Q.E.E. By trigonometry thus. In the triangle CGD all the anglesand the fide CD are given, and from thence its remainingfides are found ; and from the given ratios the lines GF andBE are…
Mechanics · Celestial mechanics
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