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 34
... side BC of the triangle ABC , to the point D within it ; BD and DC are less than the other two sides BA , AC of the triangle , but contain an angle BDC greater than the angle BAC . Produce BĎ to E ; and because two sides of a triangle ...
... side BC of the triangle ABC , to the point D within it ; BD and DC are less than the other two sides BA , AC of the triangle , but contain an angle BDC greater than the angle BAC . Produce BĎ to E ; and because two sides of a triangle ...
Side 36
... sides of the one equal to two sides of the other , each to each , but the angle contained by the two sides of the one great- er than the angle contained by the two sides of the other ; the base of that which has the greater angle shall ...
... sides of the one equal to two sides of the other , each to each , but the angle contained by the two sides of the one great- er than the angle contained by the two sides of the other ; the base of that which has the greater angle shall ...
Side 230
... sides as the difference of the sides to the difference of the segments of the base . Q. E. D. PROP . VI . THEOR . In any triangle , twice the rectangle contained by any two sides is to the difference between the sum of the squares of ...
... sides as the difference of the sides to the difference of the segments of the base . Q. E. D. PROP . VI . THEOR . In any triangle , twice the rectangle contained by any two sides is to the difference between the sum of the squares of ...
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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