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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

An illustration from 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, leaf 395
Fourteenth Æquation . Zq + ZX " E < 1 | jxE _ ZX — Xq 4AE — Zq — Xq by Multiplication , And 4AE - f “ Xq = Zq by Transposition . Proposition IX . If a Right Line he divided into two equal Parts , and into two unequal Parts , the Squares which are made of the unequal Segments of the Whole Line , are… … Z — A - j - E by Supposition , * ^ en ^ X ~ — A — e ! ky th e Sixth Æquation . ~ ~ " ~ AA ^ AiT _ _ — AE - f - EE 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…

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