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 |
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Side 25
... Plane and Spherical Trigonometry John Playfair. remainder CG ; and FC was proved to be equal to GB , therefore the two sides BF , FC are equal to the two CG , GB , each to each ; but the angle BFC is equal to the angle CGB ; wherefore ...
... Plane and Spherical Trigonometry John Playfair. remainder CG ; and FC was proved to be equal to GB , therefore the two sides BF , FC are equal to the two CG , GB , each to each ; but the angle BFC is equal to the angle CGB ; wherefore ...
Side 28
... Plane and Spherical Trigonometry John Playfair. PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts ...
... Plane and Spherical Trigonometry John Playfair. PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts ...
Side 31
... Plane and Spherical Trigonometry John Playfair. For the angles CEA , AED , which the straight line AE makes with the straight line CD , are together equal ( 13. 1. ) to two right angles ; and the angles AED , DER , which the straight ...
... Plane and Spherical Trigonometry John Playfair. For the angles CEA , AED , which the straight line AE makes with the straight line CD , are together equal ( 13. 1. ) to two right angles ; and the angles AED , DER , which the straight ...
Side 32
... Plane and Spherical Trigonometry John Playfair. BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ABC . Therefore if one side , & c . Q. E. D. PROP . XVII . THEOR ...
... Plane and Spherical Trigonometry John Playfair. BC be bisected , it may be demonstrated that the angle BCG , that is ( 15. 1. ) , the angle ACD , is greater than the angle ABC . Therefore if one side , & c . Q. E. D. PROP . XVII . THEOR ...
Side 36
... Plane and Spherical Trigonometry John Playfair. FAG . Therefore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two ...
... Plane and Spherical Trigonometry John Playfair. FAG . Therefore , at the given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two ...
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Vanlige uttrykk og setninger
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