The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 4
... XXXIII . A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXXIV . All other four - sided figures besides these 4 EUCLID'S ELEMENTS .
... XXXIII . A rhomboid , is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXXIV . All other four - sided figures besides these 4 EUCLID'S ELEMENTS .
Page 8
... opposite . Let ABC , DEF be two trian- gles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the AA CE base BC shall be equal ...
... opposite . Let ABC , DEF be two trian- gles , which have the two sides AB , AC equal to the two sides DE , DF , each to each , viz . AB to DE , and AC to DF ; and the angle BAC equal to the angle EDF : the AA CE base BC shall be equal ...
Page 9
... opposite , shall be equal each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B ...
... opposite , shall be equal each to each , viz . the angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B ...
Page 10
... opposite ; viz . the angle ACF to the angle ABG , and the angle AFC to the an- gle AGB : and because the whole AF is equal to the whole AG , of which the parts AB , AC are equal ; the remainder BF is equal to the remainder CG : and FC ...
... opposite ; viz . the angle ACF to the angle ABG , and the angle AFC to the an- gle AGB : and because the whole AF is equal to the whole AG , of which the parts AB , AC are equal ; the remainder BF is equal to the remainder CG : and FC ...
Page 16
... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line . At the point B in the straight line AB , let the two straight lines BC , BD upon ...
... opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line . At the point B in the straight line AB , let the two straight lines BC , BD upon ...
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore