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 TrigonometryW.E. Dean, 1839 - 318 páginas |
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Resultados 6-10 de 27
Página 28
... equilateral triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD ...
... equilateral triangle ABC , and bisect ( 9. 1. ) the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD common to the two triangles ACD , BCD : the two sides AC , CD ...
Página 51
... equilateral ; it is likewise rectangular ; for the straight line AD meeting the par- allels AB , DE , makes the angles BAD , ADE equal ( 29. 1. ) to two right angles ; but BAD is a right angle ; therefore also ADE is a right angle ; now ...
... equilateral ; it is likewise rectangular ; for the straight line AD meeting the par- allels AB , DE , makes the angles BAD , ADE equal ( 29. 1. ) to two right angles ; but BAD is a right angle ; therefore also ADE is a right angle ; now ...
Página 55
... equilateral . It is likewise rectangular ; for the angle CBK being a C B G H K D FE right angle , the other angles of the parallelogram CGKB are also right angles ( Cor . 46. 1. ) Wherefore CGKB , is a square , and it is upon the side ...
... equilateral . It is likewise rectangular ; for the angle CBK being a C B G H K D FE right angle , the other angles of the parallelogram CGKB are also right angles ( Cor . 46. 1. ) Wherefore CGKB , is a square , and it is upon the side ...
Página 97
... equilateral . It is also rectangular ; for the straight line BD being a diameter of the circle ABCD , BAD is a semicircle ; wherefore the angle BAD is a right ( 31 . 3. ) angle ; for the same reason each of the N A C E D angles ABC ...
... equilateral . It is also rectangular ; for the straight line BD being a diameter of the circle ABCD , BAD is a semicircle ; wherefore the angle BAD is a right ( 31 . 3. ) angle ; for the same reason each of the N A C E D angles ABC ...
Página 98
... equilateral . It is also rect- angular ; for , GBEA being a parallelogram , and AEB a right angle , AGB ( 34. 1. ) is likewise a right angle : In the same manner , it may be shewn that the angles at H , K , F are right angles ...
... equilateral . It is also rect- angular ; for , GBEA being a parallelogram , and AEB a right angle , AGB ( 34. 1. ) is likewise a right angle : In the same manner , it may be shewn that the angles at H , K , F are right angles ...
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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 meet opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism produced proportional 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 parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore