Elements of Geometry and Trigonometry |
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Page 143
... parallelopipedon . The parallelopipedon is rectangular when all its faces are rectangles . 9. Among rectangular parallelopipedons , we distinguish the cube , or regular hexaedron , bounded by six equal squares . 10. A pyramid is a solid ...
... parallelopipedon . The parallelopipedon is rectangular when all its faces are rectangles . 9. Among rectangular parallelopipedons , we distinguish the cube , or regular hexaedron , bounded by six equal squares . 10. A pyramid is a solid ...
Page 148
... parallelopipedon the opposite planes are equal and parallel . By the definition of this solid , the bases E ABCD , EFGH , are equal parallelograms , and their sides are parallel : it remains only to show , that the same is true of any ...
... parallelopipedon the opposite planes are equal and parallel . By the definition of this solid , the bases E ABCD , EFGH , are equal parallelograms , and their sides are parallel : it remains only to show , that the same is true of any ...
Page 149
... parallel . Cor . 1. Since the parallelopipedon is a solid bounded by six planes , whereof those lying opposite to each other are equal and parallel , it follows that any face and the one opposite to it , may be assumed as the bases of ...
... parallel . Cor . 1. Since the parallelopipedon is a solid bounded by six planes , whereof those lying opposite to each other are equal and parallel , it follows that any face and the one opposite to it , may be assumed as the bases of ...
Page 150
Adrien Marie Legendre Charles Davies. Let the parallelopipedon ABCD - H be divided by the plane BDHF passing through ... parallel ( Prop . II . ) ; they are parallelo- grams , because aB , dc , two opposite sides of the same section , are ...
Adrien Marie Legendre Charles Davies. Let the parallelopipedon ABCD - H be divided by the plane BDHF passing through ... parallel ( Prop . II . ) ; they are parallelo- grams , because aB , dc , two opposite sides of the same section , are ...
Page 151
... parallelopipedons have a common base , and their upper bases in the same plane and between the same parallels , they ... parallelopipedon BADC - G ; hence those two paral- Jelopipedons BADC - L , BADC - G , are equivalent . PROPOSITION ...
... parallelopipedons have a common base , and their upper bases in the same plane and between the same parallels , they ... parallelopipedon BADC - G ; hence those two paral- Jelopipedons BADC - L , BADC - G , are equivalent . PROPOSITION ...
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex