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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Side 141
... similar , and similarly described triangle upon the second . PROP . XX . THEOR . Similar polygons may be divided into the same number of similar tri- angles , having the same ratio to one another that the polygons have z and the ...
... similar , and similarly described triangle upon the second . PROP . XX . THEOR . Similar polygons may be divided into the same number of similar tri- angles , having the same ratio to one another that the polygons have z and the ...
Side 143
... similar , and similarly described rectilineal figure upon the second . CoR . 3. Because all squares are similar figures , the ratio of any two squares to one another is the same with the duplicate ratio of their sides ; and hence , also ...
... similar , and similarly described rectilineal figure upon the second . CoR . 3. Because all squares are similar figures , the ratio of any two squares to one another is the same with the duplicate ratio of their sides ; and hence , also ...
Side 146
... similar to one another ( def . 1. 6. ) : for the same reason , the parallelogram ABCD is similar to the parallelogram FHCK . Wherefore each of the parallelograms , GE , KH is similar to DB : but rectilineal figures which are similar to ...
... similar to one another ( def . 1. 6. ) : for the same reason , the parallelogram ABCD is similar to the parallelogram FHCK . Wherefore each of the parallelograms , GE , KH is similar to DB : but rectilineal figures which are similar to ...
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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