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" CD, &c., taken together, make up the perimeter of the prism's base : hence the sum of these rectangles, or the convex surface of the prism, is equal to the perimeter of its base multiplied by its altitude. "
Elements of Geometry - Page 182
by Adrien Marie Legendre - 1841 - 235 pages
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1839 - 372 pages
...Now, the altitudes AF, BG, CH, &c. of the rectangles, are equal to the altitude of the prism. Hence, the sum of these rectangles, or the convex surface of the prism, is equal to (AB + BC + CD + DE + EA) x AF ; that is, to the perimeter of the base of the prism mult! plied by its...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...Now, the altitudes AF, BG, CH, &c. of the rectangles, are equal to the altitude of the prism. Hence, the sum of these rectangles, or the convex surface of the prism, is equal to (AB+BC+CD+DE+EA)X AF ; that is, to the perimeter of the base of the prism multiplied by its altitude....
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...prism ; their bases AB, BC, CD, &c. taken together, make up the perimeter of the prism's base : hence the sum of these rectangles, or the convex surface...perimeter of its base multiplied by its altitude. Cor. If two right prisms have the same altitude, their convex surfaces will be to each other as the...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...together, from the perimeter of the base of the prism. Therefore, the sum of these parallelograms, or the convex surface of the prism, is equal to the...perimeter of its base, multiplied by its altitude. Cor. If two right prisms have the same altitude, their convex surfaces will be to each other as the...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...Now, the altitudes AF, BG, CH, &c. of the rectangles, are equal to the altitude of the prism. Hence, the sum of these rectangles, or the convex surface of the prism, isequalto(AB + BC + CD + DE + EA)x BC AF; that is, to the perimeter of the base of the prism multiplied...
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Elements of Geometry: With, Practical Applications

George Roberts Perkins - Geometry - 1850 - 332 pages
...prism ; their bases AB, BC, CD, &c., taken together, make up the perimeter of the prism's base : hence the sum of these rectangles, or the convex surface...perimeter of its base multiplied by its altitude. Cor. If two right prisms have the same altitude, their convex surfaces will be to each other as the...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...distance between the parallel planes which form its bases. THEOREM I. The convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude. Let ABODE— K be a right R prism: then will its convex surface be equal to (AB+BC+ CD+DE+EA) x AF....
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...distance between the parallel planes which form its bases, THEOREM I. The convex surface of a right prism is equal to the perimeter of its base multiplied by its altitude. Let ABODE— K be a right J{. prism: then will its convex surface be equal to (AB 4- BC + CD + DE -f...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...rectangle is equal to its base multiplied by ^,. ... , its altitude (B. iv., P. 5). Hence, the sum x of these rectangles, or the convex surface of the prism, is equal to (AB+BC+CD+DE+EA)xAF; that is, to the perimeter of the base of the prism multiplied by the altitude....
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...and the area of each rectangle is equal to its base multiplied by its altitude (B. 1v., p. 5). Hence, the sum of these rectangles, or the convex surface of the prism, is equal to (AB +BC+ CD+DE+EA)xAF • that is, to the perimeter of the base of the prism multiplied by the altitude....
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