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" The lateral area of a prism is equal to the product of the perimeter of a right section of the prism by a lateral edge. Let AD... "
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... - Σελίδα 189
των William Chauvenet - 1884 - 368 σελίδες
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New Practical Arithmetic in which the Science and Its Applications are ...

Henry Bartlett Maglathlin - 1869 - 324 σελίδες
...AB is the altitude. 423. By Geometry, there may be established the following 1. The CONVEX SURFACE of a prism is equal to the product of the perimeter of the base by the altitude. -2. The CONVEX SURFACE of a cylinder is equal to the product of the circumference...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 368 σελίδες
...prism, made by a plane parallel to the base, is equal to the base. PROPOSITION II.— THEOREM. 16. The lateral area of a prism is equal to the product...section GHIKL being perpendicular to the lateral edges A A', BB', etc., are the altitudes of the parallelograms which form the convex surface of the prism,...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 368 σελίδες
...regular polygons inscribed in a circle. PROPOSITION II— THEOREM. 8. The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of the surface. Let AB CDEF be the base and AA ' any •_ element of a cylinder,...

New Practical Arithmetic: In which the Science and Its Applications are ...

Henry Bartlett Maglathlin - 1873 - 336 σελίδες
...? The Altitude ? 'D 423. By Geometry, there may be established the following 1. The CONVEX SURFACE of a prism is equal to the product of the perimeter of the base by the altitude. 2. The CONVEX SURFACE of a cylinder is equal to (he product of the circumference...

Elements of Geometry with Exercises for Students: An an Introduction to ...

Aaron Schuyler - 1876 - 364 σελίδες
...section of a prism parallel to the base is equal to the lose. (?) 379. Proposition II. — Theorem. The lateral area of a prism is equal to the product of a lateral edge by the perimeter of a right section. Let CF be a right section of the prism AB. The...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...lateral area of the prism by *, and the perimeter of its right section by p. Then s = p XA A', ? 524 (the lateral area of a prism is equal to the product of the perimeter of a right section by a lateral edge). Now lot the number of lateral faces of the inscribed prism be indefinitely increased,...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...base is equal to the base ; and all right sections of a prism are equal. PROPOSITION II. THEOREM. 524. The lateral area of a prism is equal to the product of a lateral edge by the perimeter of the right section. Let GHIKL be a right section of the prism AD'....

Elements of Geometry and the First Principles of Modern Geometry

Wm. H. H. Phillips - 1878 - 209 σελίδες
...prism whose homologous edge ab — 5 inches ? IX. Theorem. The lateral surface of any prism (cylinder) is equal to the product of the perimeter of a right section by a lateral edge. HYPOTH. abcde is a right section, and A A', a lateral edge, of the prism ABCDE-A'....

Elements of Geometry

Simon Newcomb - 1881 - 399 σελίδες
...pyramid is the distance from the vertex to the middle point of any edge of the base. THEOREM I. 841. The lateral area of a prism is equal to the product of a lateral edge into the perimeter of a right section. Proof. Let ABRS be any lateral face of a prism,...

Chauvenet's Treatise on Elementary Geometry

William Chauvenet - 1887 - 322 σελίδες
...sum of the squares of the three edges which meet at a common vertex. PROPOSITION II.— THEOREM. 16. The lateral area of a prism is equal to the product...being perpendicular to the lateral edges AA', BB' (VI., 6), etc., are the altitudes of the parallelograms which form the convex surface of the prism,...




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