Elements of the Geometry of Planes and Solids: With Four PlatesThe author, 1828 - 159 páginas |
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Página 131
... prisms upon the triangular bases in the manner shewn , ( in § 22 , Schol . ) Then will prisms so formed be equal to one another , because they are the halves of parallelepipeds between the same parallel planes , whose base would be the ...
... prisms upon the triangular bases in the manner shewn , ( in § 22 , Schol . ) Then will prisms so formed be equal to one another , because they are the halves of parallelepipeds between the same parallel planes , whose base would be the ...
Página 132
... prism , of equal base and altitude . APPLIC . The triangular pyramid , ABCD , ( fig . 110 , ) shall be the third part of ... prisms of equal base and altitude ; as was to be demonstrated . $ 28. THEOREM . A polyedron is equal to another ...
... prism , of equal base and altitude . APPLIC . The triangular pyramid , ABCD , ( fig . 110 , ) shall be the third part of ... prisms of equal base and altitude ; as was to be demonstrated . $ 28. THEOREM . A polyedron is equal to another ...
Página 140
... prisms are to one another as the cubes of their homologous sides ; therefore , also , as the cubes of their altitudes , these forming likewise homologous sides . Corol . 2. Pyramids being the third of the prisms of equal base and ...
... prisms are to one another as the cubes of their homologous sides ; therefore , also , as the cubes of their altitudes , these forming likewise homologous sides . Corol . 2. Pyramids being the third of the prisms of equal base and ...
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Elements of the Geometry of Planes and Solids: With Four Plates (Classic ... F. R. Hassler Sin vista previa disponible - 2018 |
Términos y frases comunes
ABCD angle equal angle G angles opposite angular point APPLIC base and altitude bisect centre chord circumference circumscribed circle common intersection cone Corol cutting line cylinder Demonstr describe determine diagonal diameter draw drawn equal angles equal base equal sides equiangular equilateral triangle four right angles frustum given angle given circle given lines given point given straight line given triangle gles greater inner angles inscribed join line BC opposite angles paral parallel planes parallelepiped parallelogram perpendicular plane angles Plane Geometry point of intersection prisms PROBLEM Proof proportional protracted pyramid quadrilateral figure radii radius ratio rectilineal figure regular poligon Scholium segment side AC similar six right solid angle solid content sphere square subtended supposition surface tangent thence THEOREM third plane third side three plane three sides triangle ABC triangular vertex