## Elements of Geometry and Trigonometry |

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Page 142

THE name solid polyedron , or simple polyedron , is given to every solid terminated by planes or plane

THE name solid polyedron , or simple polyedron , is given to every solid terminated by planes or plane

**faces**; which planes , it is evident , will themselves be terminated by straight lines . E POLYEDRONS . 2. The common intersection of ... Page 143

A prism whose base is a parallelogram , and which has all its

A prism whose base is a parallelogram , and which has all its

**faces**parallelograms , is named a parallelopipedon . The paralelopipedon is rectangular when all its**faces**are rectangles . 9. Among rectangular parallelopipedons , we ... Page 148

K K F E TH f B C с But the two upper bases being equal to their corresponding lower bases , are equal to each other : hence HI will coincide with hi , IK with ik , and KF with kf ; and therefore the lateral

K K F E TH f B C с But the two upper bases being equal to their corresponding lower bases , are equal to each other : hence HI will coincide with hi , IK with ik , and KF with kf ; and therefore the lateral

**faces**of the prisms will ... Page 149

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

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 the parallelopipedon ... Page 150

B For a like reason , the figure BaeF is a parallelogram ; so also are BFgc , cdhg , adhe , the other lateral

B For a like reason , the figure BaeF is a parallelogram ; so also are BFgc , cdhg , adhe , the other lateral

**faces**of the solid Badc - g ; hence that solid is a prism ( Def . 6. ) ; and that prism is right , because the side BF is ...### What people are saying - Write a review

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ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole