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 Trigonometry |
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Página 200
Solid parallelepipeds upon the same base , and of the same altitude , the in sisting straight lines of which are terminated in the same straight lines in the plane opposite to the base , are equal to one another .
Solid parallelepipeds upon the same base , and of the same altitude , the in sisting straight lines of which are terminated in the same straight lines in the plane opposite to the base , are equal to one another .
Página 201
Solid parallelepipeds upon the same base , and of the same altitude , the insisting straight lines of which are not terminated in the same straight lines in the plane opposite to the base , are equal to one another .
Solid parallelepipeds upon the same base , and of the same altitude , the insisting straight lines of which are not terminated in the same straight lines in the plane opposite to the base , are equal to one another .
Página 202
Wherefore solid parallelepipeds , & c . Q. E. D. > PROP . VII . THEOR Solid parallelepipeds which are upon equal bases , and of the same altitude are equal to one another . 9 Let the solid parallelepipeds , AE , CF , be upon equal bases ...
Wherefore solid parallelepipeds , & c . Q. E. D. > PROP . VII . THEOR Solid parallelepipeds which are upon equal bases , and of the same altitude are equal to one another . 9 Let the solid parallelepipeds , AE , CF , be upon equal bases ...
Página 203
But let the solid parallelepipeds , SE , CF be upon equal bases SB , CD , and be of the same altitude , and let their insisting straight lines be at right angles to the bases ; and place the bases SB , CD in the same plane , so that CL ...
But let the solid parallelepipeds , SE , CF be upon equal bases SB , CD , and be of the same altitude , and let their insisting straight lines be at right angles to the bases ; and place the bases SB , CD in the same plane , so that CL ...
Página 204
Solid parallelepipeds which have the same altitude , are to one another as their bases , Let AB , CD be solid parallelepipeds of the same altitude : they are to one another as their bases ; that is , as the base AE to the base CF ...
Solid parallelepipeds which have the same altitude , are to one another as their bases , Let AB , CD be solid parallelepipeds of the same altitude : they are to one another as their bases ; that is , as the base AE to the base CF ...
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Términos y frases comunes
ABC is equal ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular Euclid exterior angle extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole