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 20
Side 205
... altitude with AF , viz . GQ or AE . Now the solid AF is to the solid GO in a ratio compounded of the ratios of the ... altitude AE to the altitude GM ( F. 5. ) . But the ratio of the solid AF to the solid GO , is that which is compounded ...
... altitude with AF , viz . GQ or AE . Now the solid AF is to the solid GO in a ratio compounded of the ratios of the ... altitude AE to the altitude GM ( F. 5. ) . But the ratio of the solid AF to the solid GO , is that which is compounded ...
Side 206
... altitude AE to the altitude GM . Case 2. When the insisting lines are not perpendicular to the bases . Let the parallelograms AC and GK be the bases as before , and let AE and GM be the altitudes of two parallelopipeds Y and Z on these ...
... altitude AE to the altitude GM . Case 2. When the insisting lines are not perpendicular to the bases . Let the parallelograms AC and GK be the bases as before , and let AE and GM be the altitudes of two parallelopipeds Y and Z on these ...
Side 211
... altitude the perpendicular from E upon the plane BCD ; and the prism which has BCD for its base , and the pendicular from E for its altitude , is by hypothesis equal to the given solid Z ; therefore , the excess of the circumscribed ...
... altitude the perpendicular from E upon the plane BCD ; and the prism which has BCD for its base , and the pendicular from E for its altitude , is by hypothesis equal to the given solid Z ; therefore , the excess of the circumscribed ...
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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