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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 60

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 60
f Fractions demonstrated . I . Of Proper FraElions . Multiplication of FraElions is contrary to Multiplication in Whole Numbers ; for the New FraElions produced are always less than either of the terms given to be multiplied ; yet in their operation they do make a Square Figure with this Analogical… … As the Square of the Numerators 6 , To the Square of the Denominators 12 , So will the Square of the FraElion 72 , Be to the whole Square , or Integer , 144 , or one whole Superficial Foot . Again , the three Numbers given were 6 , 12 , and 72 3 and as 6 i s the half of 12 , so is 72 the half of…

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