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 páginas |
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Página 171
... described upon the side of a right an- gled triangle opposite to the right angle , is equal to the two circles described on the other two sides . For the circle described upon SR is to the circle described upon RT as the square of SR to ...
... described upon the side of a right an- gled triangle opposite to the right angle , is equal to the two circles described on the other two sides . For the circle described upon SR is to the circle described upon RT as the square of SR to ...
Página 216
... described about the cone , having all the same altitudes with one an- other , and such that their sum shall differ from the sum of the hemis- phere , and the cone , by a solid less than any given solid . Let ADB be a semicircle , of ...
... described about the cone , having all the same altitudes with one an- other , and such that their sum shall differ from the sum of the hemis- phere , and the cone , by a solid less than any given solid . Let ADB be a semicircle , of ...
Página 217
... described about the cone is equal to the cone together with a solid less than W ; adding equals to equals , the sum of all these cylinders , together with a solid less than W , is equal to the sum of the hemisphere and the cone together ...
... described about the cone is equal to the cone together with a solid less than W ; adding equals to equals , the sum of all these cylinders , together with a solid less than W , is equal to the sum of the hemisphere and the cone together ...
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Términos y frases comunes
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