The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Resultat 1-5 av 17
Side 37
... opposite angles ; and the three interior angles of every triangle are equal to two right angles . Let ABC be a triangle , and let one of its fides BC be pro- duced to D ; the exterior angle ACD is equal to the two inte rior and oppofite ...
... opposite angles ; and the three interior angles of every triangle are equal to two right angles . Let ABC be a triangle , and let one of its fides BC be pro- duced to D ; the exterior angle ACD is equal to the two inte rior and oppofite ...
Side 107
... opposite to the fide beyond which it is , being in a fegment less than a femicircle , is greater than a right angle : Wherefore , if the given triangle be acute angled , the centre of the circle falls within it ; if it be a right angled ...
... opposite to the fide beyond which it is , being in a fegment less than a femicircle , is greater than a right angle : Wherefore , if the given triangle be acute angled , the centre of the circle falls within it ; if it be a right angled ...
Side 163
... opposite to the homologous fides . Let the triangles ABC , DEF have the angle BAC in the one equal to the angle EDF in the other , and the fides about those angles proportionals ; that is , BA to AC , as ED to DF ; the triangles ABC ...
... opposite to the homologous fides . Let the triangles ABC , DEF have the angle BAC in the one equal to the angle EDF in the other , and the fides about those angles proportionals ; that is , BA to AC , as ED to DF ; the triangles ABC ...
Side 231
... opposite to the base , are equal to one another . Let the parallelepipeds CM , CN , be upon the fame base AB , and of the fame altitude , but their infifting straight lines AF , AG , LM , LN , CD , CE , BH , BK , not terminated in the ...
... opposite to the base , are equal to one another . Let the parallelepipeds CM , CN , be upon the fame base AB , and of the fame altitude , but their infifting straight lines AF , AG , LM , LN , CD , CE , BH , BK , not terminated in the ...
Side 232
... opposite parallelogram , is equal a to the folid CP , of which the 3.29 . II . N K G E M H P Q F R B ༢༠ 1 A C bafe is the parallelogram ACBL , to which ORQP is the one oppofite ; because they are upon the fame bafe , and their in ...
... opposite parallelogram , is equal a to the folid CP , of which the 3.29 . II . N K G E M H P Q F R B ༢༠ 1 A C bafe is the parallelogram ACBL , to which ORQP is the one oppofite ; because they are upon the fame bafe , and their in ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore