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 sider |
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Resultat 1-5 av 26
Side 21
... doubles of the same thing , are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exact- ly fill the same space , are ...
... doubles of the same thing , are equal to one another VII . Things which are halves of the same thing , are equal to one another . VIII . Magnitudes which coincide with one another , that is , which exact- ly fill the same space , are ...
Side 44
... double ( 34. 1. ) of the tri- angle BDC ; and they are therefore e- B qual to one another . Ꭰ F C But , if the sides AD , EF , opposite to the base BC of the parallelo- grams ABCD , EBCF , be not terminated in the same point : then ...
... double ( 34. 1. ) of the tri- angle BDC ; and they are therefore e- B qual to one another . Ꭰ F C But , if the sides AD , EF , opposite to the base BC of the parallelo- grams ABCD , EBCF , be not terminated in the same point : then ...
Side 47
... double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon the same base BC and between the same par- A D E allels BC , AE ; the parallelogram ABCD is double of the triangle EBC . Join AC ; then the triangle ABC is ...
... double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon the same base BC and between the same par- A D E allels BC , AE ; the parallelogram ABCD is double of the triangle EBC . Join AC ; then the triangle ABC is ...
Side 48
... double of the triangle AEC . And the parallelogram FECG is likewise double ( 41. 1. ) of the triangle AEC , because it is upon the same base , and between the same parallels : Therefore the parallelogram FECG is equal to the triangle ...
... double of the triangle AEC . And the parallelogram FECG is likewise double ( 41. 1. ) of the triangle AEC , because it is upon the same base , and between the same parallels : Therefore the parallelogram FECG is equal to the triangle ...
Side 52
... double of the triangle BFC , because these also are upon the same base FB , and between the same parallels FB , GC . Now the doubles of equals are equal ( 6. Ax . ) to one another ; therefore the parallelogram BL is equal to the square ...
... double of the triangle BFC , because these also are upon the same base FB , and between the same parallels FB , GC . Now the doubles of equals are equal ( 6. Ax . ) to one another ; therefore the parallelogram BL is equal to the square ...
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Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
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 opposite angle parallel parallelogram parallelopipeds perpendicular polygon prism PROB 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 square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore