Cursus mathematicus. Mathematical sciences : in nine books : comprehending arithmetick, geometry, cosmography, astronomy, navigation, trigonometry, with the description, construction, and use of geometrical and nautical instruments: and the doctrine of triangles applied to practice in mensurations of all kinds: as in longimetria, planometria, military architecture, or taking of heights, distances &c. surveying of land, woods, roads, &c. fortification. And in navigation, dialling, &c. : all which are disposed in such method and order as they ought to be read and practised, by such as would attain to a competent proficiency in them by their own industry (1690)
Leybourn, William · printed for Thomas Basset, Benjamin Tooke, Thomas Sawbridge, Awnsham and John Churchill · leaf 395
wo equal Parts , and into two unequal Parts , the Squares which are made of the unequal Segments of the Whole Line , are double to the Squares of the Half Line and inter mediate Segments . If Z — A - j - E by Supposition , And X — A — E by th e Sixth Æquation . Then Zq - ^ XqurAq - f - rEq , as… … T ^ & ~ XX = = AA — 2 . AE - 4 - EE by Multiplication . If Z = A - f E A ; nd ZZ ~ AA + 2AE - j - EE by 4 . Prop . Eucl . 2 . And Vq ^ Zq — | Z — A by Construction , j , ere fore ~ ZZ4 - XX = 2AE - { - 2EE by Addition , Then ZE = r Aq ftn d _ ZZ - j - xX — AA - { - EE by Division . For Vq ^ Zq — iZ…
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