 | Isaac Newton Failor - 1906 - 440 σελίδες
...parallel to a lateral edge is a parallelogram. PRISMS AND PARALLELEPIPEDS PROPOSITION II. THEOREM 617 The lateral area of a prism is equal to the product of a lateral edge by the perimeter of a right section. HYPOTHESIS. AD' is a prism, S its lateral area,... | |
 | Edward Rutledge Robbins - 1907 - 428 σελίδες
...face DG (?) (515). QED Ex. 1. All right sections of a prism are equal. SOLID GEOMETRY R 583. THEOREM. The lateral area of a prism is equal to the product of a lateral edge by the perimeter of a right section. Given: Prism RU'; edge = E; right section AD. To... | |
 | Elmer Adelbert Lyman - 1908 - 364 σελίδες
...of a prism formed by parallel planes cutting all of the lateral edges are congruent polygons. 565. The lateral area of a prism is equal to the product of a lateral edge and the perimeter of a right section. 566. Corollary. The lateral area of a cylinder... | |
 | Eugene Randolph Smith - 1909 - 424 σελίδες
...plane, every line of the first plane is parallel to the second plane ? Give the reasons. 490. Prove that the lateral area of a prism is equal to the product of the perimeter of a right section of the prism and a lateral edge. Is this product the same as the product of the perimeter of the base and an altitude... | |
 | David Eugene Smith - 1911 - 358 σελίδες
...from the Latin truncare (to cut off). A few of the leading propositions are now considered. THEOREM. The lateral area of a prism is equal to the product of a lateral edge by the perimeter of the right section. It should be noted that although some syllabi... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - 1911 - 208 σελίδες
...ABB' A', BCC'B', etc., are UJ. (2) Show that Z ABC = Z A'B'C', ^ BCD = Z B'C'D', etc. 73. THEOREM. The lateral area of a prism is equal to the product of a lateral edge and the perimeter of a right section. Suggestion. Show that the lateral edges are mutually... | |
 | Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 216 σελίδες
...of smaller solids into which a larger solid is divided. 354 BOOK VII PROPOSITION III. THEOREM 762. The lateral area of a prism is equal to the product of the perimeter of a right section and a lateral edge. M 'D Given prism AK with MQ a rt. section, E a lateral edge, S the lateral area,... | |
 | William Herschel Bruce, Claude Carr Cody - 1912 - 134 σελίδες
...their sides and 2p? equal each to each, and are therefore congruent}. QED PROPOSITION II. THEOREM. 616. The lateral area of a prism is equal to the product of the perimeter of a right section by a lateral edge. Given. the prism PM. Denote its lateral area by s, a lateral edge by e, and the... | |
 | George Clinton Shutts - 1912 - 392 σελίδες
...534. COR. III. All right sections of a prism are congruent polygons. PROPOSITION II. 535. THEOREM. The lateral area of a prism is equal to the product of the perimeter of a right section and a lateral edge. Given the prism M with p the perimeter and alt a2, a3, etc., the successive sides... | |
 | Clara Avis Hart, Daniel D. Feldman - 1912 - 220 σελίδες
...§'355. 396 BOOK VIII T= 2 T,RH + 2 irlP = 2 irR(H + R). 860. Note. Since the lateral area of an oblique prism is equal to the product of the perimeter of a right section and a lateral edge (§ 762), the student would naturally infer that the lateral area of an oblique... | |
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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... 
