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 80
Side 108
... less than B : " DEFINITIONS , T less magnitude is said to be a part of a greater magnitude , when the less measures the greater , that is , when the less is contained a certain number of times , exactly , in the greater . K II . A ...
... less than B : " DEFINITIONS , T less magnitude is said to be a part of a greater magnitude , when the less measures the greater , that is , when the less is contained a certain number of times , exactly , in the greater . K II . A ...
Side 167
... less than the square of AF ; but AF is less than D therefore , the difference of the polygons is less than the square of D ; that is , than the given space . Therefore , & c . Q. E. D. A COR . 1. Because the polygons M and N differ from ...
... less than the square of AF ; but AF is less than D therefore , the difference of the polygons is less than the square of D ; that is , than the given space . Therefore , & c . Q. E. D. A COR . 1. Because the polygons M and N differ from ...
Side 217
... less than W , for the cylinder generated by HB is less than W. In the same manner , it may be demonstrated , that the sum of the cylinders circumscribing the cone ICE is greater than the cone by a solid less than the cylinder generated ...
... less than W , for the cylinder generated by HB is less than W. In the same manner , it may be demonstrated , that the sum of the cylinders circumscribing the cone ICE is greater than the cone by a solid less than the cylinder generated ...
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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