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 TrigonometryCollins & Hannay, 1860 - 333 sider |
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Resultat 1-3 av 86
Side 115
... Q. E. D. PROP . C. THEOR . If the first be to the second as the third to the fourth ; and if the first be a multiple or a part of the second , the third is the same multiple or the same part of the fourth . : Let A B :: C : D , and ...
... Q. E. D. PROP . C. THEOR . If the first be to the second as the third to the fourth ; and if the first be a multiple or a part of the second , the third is the same multiple or the same part of the fourth . : Let A B :: C : D , and ...
Side 117
... Q. E. D. PROP . XII . THEOR . If any number of magnitudes be proportionals , as one of the antecedents is to its consequent , so are all the antecedents , taken together , to all the consequents , If A : B : : C : D , and C : D :: E : F ...
... Q. E. D. PROP . XII . THEOR . If any number of magnitudes be proportionals , as one of the antecedents is to its consequent , so are all the antecedents , taken together , to all the consequents , If A : B : : C : D , and C : D :: E : F ...
Side 118
... Q. E. D. PROP . XV . THEOR . Magnitudes have the same ratio to ome another which their equimultiples have . If A and B be two magnitudes , and m any number , A : B :: mA : mB . Because A : B :: A : B ( 7. 5. ) ; A : B :: A + A : B + B ...
... Q. E. D. PROP . XV . THEOR . Magnitudes have the same ratio to ome another which their equimultiples have . If A and B be two magnitudes , and m any number , A : B :: mA : mB . Because A : B :: A : B ( 7. 5. ) ; A : B :: A + A : B + B ...
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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 and similar 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 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 side BC sine solid angle solid parallelopipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore