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 páginas |
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Página 26
... equal to one another . Join CD , and if possible let CB be equal to DB ; then , in the case in which the vertex of each of the triangles is without the other trian- gle , because AC is equal to AD , the angle ACD is equal ( 5. 1. ) to ...
... equal to one another . Join CD , and if possible let CB be equal to DB ; then , in the case in which the vertex of each of the triangles is without the other trian- gle , because AC is equal to AD , the angle ACD is equal ( 5. 1. ) to ...
Página 27
... equal to the base EF . The 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 ...
... equal to the base EF . The 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 ...
Página 28
... equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into ...
... equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into ...
Página 30
... equal ( 2. Ax . ) to the three CBA , ABE , EBD . Again , the angle DBA is equal to the two angles DBE , EBA ; add to each of these equals the angle ABC ; then will the two angles DBA , ABC be equal to the three angles DBE , EBA , ABC ...
... equal ( 2. Ax . ) to the three CBA , ABE , EBD . Again , the angle DBA is equal to the two angles DBE , EBA ; add to each of these equals the angle ABC ; then will the two angles DBA , ABC be equal to the three angles DBE , EBA , ABC ...
Página 31
... equal ( 13. 1. ) to two right angles ; and the angles AED , DER , which the straight line DE makes with the straight line AB , are also together equal ( 13. 1. ) to two right angles ; therefore the two angles CEA , AED are equal to the ...
... equal ( 13. 1. ) to two right angles ; and the angles AED , DER , which the straight line DE makes with the straight line AB , are also together equal ( 13. 1. ) to two right angles ; therefore the two angles CEA , AED are equal to the ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder 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 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