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 TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 9
Pagina 146
... parallelepiped is a solid figure contained by six quadrilateral figures , whereof every opposite two are parallel . VI . A cube is a solid figure contained by six equal squares . VII . A sphere is a solid figure described by the ...
... parallelepiped is a solid figure contained by six quadrilateral figures , whereof every opposite two are parallel . VI . A cube is a solid figure contained by six equal squares . VII . A sphere is a solid figure described by the ...
Pagina 148
... parallelepiped be cut by a plane parallel to two of its opposite planes , it will be divided into two solids , which will be to one another as their bases . Let the solid parallelepiped ABCD be cut by the plane EV , which is parallel to ...
... parallelepiped be cut by a plane parallel to two of its opposite planes , it will be divided into two solids , which will be to one another as their bases . Let the solid parallelepiped ABCD be cut by the plane EV , which is parallel to ...
Pagina 151
... parallelepiped AH , is equal to the remaining_parallelepiped AK . Therefore , solid parallelepipeds , & c . Q. E. D. PROP . VI . THEOR . Solid parallelepipeds upon the same base , and of the same alti- tude , the insisting straight ...
... parallelepiped AH , is equal to the remaining_parallelepiped AK . Therefore , solid parallelepipeds , & c . Q. E. D. PROP . VI . THEOR . Solid parallelepipeds upon the same base , and of the same alti- tude , the insisting straight ...
Pagina 152
... 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 . Let the solid parallelepipeds AE , CF be upon equal bases AB , CD , and be of ...
... 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 . Let the solid parallelepipeds AE , CF be upon equal bases AB , CD , and be of ...
Pagina 155
... parallelepipeds Y and Z on these bases . Then , if the upright parallelepipeds AF and GO be constituted on the bases AC and GK , with the altitudes AE and GM , they will be equal to the parallelepipeds Y and Z ( III . Sup . 7 ) . Now ...
... parallelepipeds Y and Z on these bases . Then , if the upright parallelepipeds AF and GO be constituted on the bases AC and GK , with the altitudes AE and GM , they will be equal to the parallelepipeds Y and Z ( III . Sup . 7 ) . Now ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore