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Trigonometria (1658)

Newton, J. · leaf 20

An illustration from Trigonometria, 1658, leaf 20
omplement is alfo given by Di-vHion onely. For if the re&angie of AC and A L, that is, the fquare of Radius, be dividedby M G, the quotient (hall be CK, the tangent complement of E G. aS Two unequal arches being propofed, each lefie then a Quadrant, the fumme of theirtangents is to their… … draw CF : let A H be prolonged toF,and A B to C, and the arch D S equalto D B ; let A S be prolonged to E, anddraw B S to G, then is B L the fine ofB H, and S K the fine of S H, and B Gparallel to C F : and therefore, CF.FE::BG.GS.And becaufe the triangles B G L andS G K are like, therefore…

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