 | Walter Nelson Bush, John Bernard Clarke - 1905 - 378 sider
...and altitudes. SCH. A parallelogram is equal to a rectangle of the same base and altitude. c. Any two triangles are to each other as the products of their bases and altitudes. SCH. 1. Parallelograms (or triangles) with equal bases are to each other as their altitudes.... | |
 | Isaac Newton Failor - 1906 - 440 sider
...COROLLARY 3. Triangles having equal altitudes are to each other as their bases. 410 COROLLARY 4. Two triangles are to each other as -the products of their bases and altitudes. • EXERCISES 807 The area of a rhombus is equal to half the product of its diagonals. PLANE... | |
 | Isaac Newton Failor - 1906 - 431 sider
...COROLLARY 3. Triangles having equal altitudes are to each other as their bases. 410 COROLLARY 4. Two triangles are to each other as the products of their bases and altitudes. EXERCISES 807 The area of a rhombus is equal to half the product of its diagonals. PLANE... | |
 | Joseph Claudel - 1906 - 758 sider
...altitude, H = 3 feet; then: „ BXH 3X5 . <b = — -= — = — ;j — = 7.5 square feet. 719. Two triangles are to each other as the products of their bases and altitudes: CJ/ , C*/ __ D y T7 . D/ -y TT/ Two triangles which have the same bases or the same altitudes... | |
 | Herbert Spencer - 1906 - 788 sider
...in which a bulk is to a bulk as a weight to a weight — cases like those in which it is seen that triangles of the same altitude are to each other as their bases, or that the amounts of two attractions are to each other as the masses of the attracting bodies. Here... | |
 | Alexander H. McDougall - 1910 - 316 sider
...MQ - QN ^ ~ •• -- PN^ - ~ QN MN MN na _ —— _ • •e-- PN QN PN = QN. EXERCISES THEOREM 1 Triangles of the same altitude are to each other as their bases. Hypothesis. — In As ABC, DEF AX _L BC, DY _L EF and AX = DY. To prove that <=^§ = g. Construction.... | |
 | Herbert Spencer - 1910 - 780 sider
...in which a bulk is to a bulk as a weight to a weight — cases like those in which it is seen that triangles of the same altitude are to each other as their bases, or that the amounts of two attractions are to each other as the masses of the attracting bodies. Here... | |
 | William Herschel Bruce, Claude Carr Cody (Jr.) - 1910 - 286 sider
...altitudes. 428. COR. 3. Triangles of equal altitudes are to each other as their bases. 429. COR. 4. Two triangles are to each other as the products of their bases and altitudes. 430. COR. 5. Triangles of equal bases and altitudes are equivalent. Ex. 360. "What is the... | |
 | Walter Burton Ford, Charles Ammerman - 1913 - 184 sider
...a triangle is equal to one half the product of its base by its altitude. 190. Corollary 1. (a) Two triangles are to each other as the products of their bases and altitudes. (6) Two triangles that have equal bases are to each other as their altitudes. (c) Two triangles... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 486 sider
...356. COR. 1. Triangles having equal bases and equal altitudes are equivalent. 357. COR. 2. Any two triangles are to each other as the products of their bases and altitudes. 358. COR. 3. Triangles having equal bases are to each other as their altitudes. 359. COR.... | |
| |
Two triangles of the same altitude are to each other as their bases ; and two triangles of the same base are to each other as their altitudes. 
