The Elements of Euclid |
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ALSO , THE BOOK OF EUCLID'S DATA , IN LIKE MANNER CORRECTED . BY ROBERT SIMSON TO THIS EDITION ARE ALSO ANNEXED , ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY . GLASGOW : PRINTED AND SOLD BY ANDREW FOULIS ; SOLD ALSO BT ROBERT CROSS ...
ALSO , THE BOOK OF EUCLID'S DATA , IN LIKE MANNER CORRECTED . BY ROBERT SIMSON TO THIS EDITION ARE ALSO ANNEXED , ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY . GLASGOW : PRINTED AND SOLD BY ANDREW FOULIS ; SOLD ALSO BT ROBERT CROSS ...
Página 133
IF magnitudes taken feparately be proportionals , they See N2 fhall also be proportionals when taken jointly , that is , if the first be to the fecond , as the third to the fourth , the first and second together fhall be to the fecond ...
IF magnitudes taken feparately be proportionals , they See N2 fhall also be proportionals when taken jointly , that is , if the first be to the fecond , as the third to the fourth , the first and second together fhall be to the fecond ...
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It is also manifeft from 32. 1 , that if one of the acute angles of a right- angled triangle be given , the other is alfo given , for it is the complement of the former to a right angle . If two angles of any triangle be given ...
It is also manifeft from 32. 1 , that if one of the acute angles of a right- angled triangle be given , the other is alfo given , for it is the complement of the former to a right angle . If two angles of any triangle be given ...
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI circle circle ABCD circumference common cone cylinder defcribed Definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fhewn fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of BC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP Propofition proportionals pyramid reafon rectangle remaining right angles ſphere taken THEOR theſe third thro triangle ABC wherefore whole