Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical TrigonometryE. Duyckinck, and George Long, 1824 - 333 sider |
Fra bogen
Resultater 1-5 af 65
Side 22
... triangle . Because the point A is the centre of the circle BCD , AC is equal ( 11. Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But it has been proved that CA is equal to AB ...
... triangle . Because the point A is the centre of the circle BCD , AC is equal ( 11. Definition ) to AB ; and because the point B is the centre of the circle ACE , BC is equal to AB : But it has been proved that CA is equal to AB ...
Side 23
... triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite * D Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF ...
... triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides are opposite * D Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF ...
Side 24
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
... angle ABC to the angle DEF , and the angle ACB to DFE . For , if the triangle ABC be applied to the triangle DEF , so that the point A may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E ...
Side 26
... triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle F C D ACD , the ... DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB to DE ...
... triangle ACB ; produce AC , AD to E , F ; therefore , because AC is equal to AD in the triangle F C D ACD , the ... DEF be two triangles having the two sides AB , AC , equal to the two sides DE , DF , each to each , viz . AB to DE ...
Side 27
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
... angle BAC is equal to the angle EDF . For , if the triangle ABC be applied to the triangle DEF , so that the point B be on E , and the straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to ...
Andre udgaver - Se alle
Almindelige termer og sætninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes MDCCCXX meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore