 | Edward Olney - Geometry - 1883 - 352 pages
...volume of a right prism is equal to the product of its edge into its base. 594. COROLLARY 2. — Prisms of the same altitude are to each other as their bases ; and prisms of the same or equivalent bases are to each other as their altitudes ; and, in general, prisms... | |
 | Charles Davies - Geometry - 1886 - 352 pages
...and two triangles of the same base are to each other as their altitudes. And generally, triangles are to each other as the products of their bases and altitudes. THEOREM X. The area of a trapezoid is equal to half the product of its altitude multiplied by the sum of its... | |
 | James Morton - Mathematics - 1887 - 236 pages
...or ACX } B D. Two triangles of equal altitude are to each other as their bases, and Fig. 3. tudes ; and triangles generally are to each other as the products of their bases and altitudes. The square of the one side of an equilateral triangle inscribed in a circle is equal to three-fourths... | |
 | University of Colorado. Department of Psychology and Education - Education - 1902 - 588 pages
...other as the rectangles of the sides which contain the equal angle; and conversely; (b) The areas of two triangles of the same altitude are to each other as their bases; and the areas of two triangles of the same base are to each other as their altitudes. We have in either... | |
 | University of Colorado. Department of Psychology and Education - Education - 1903 - 564 pages
...other as the rectangles of the sides which contain the equal angle; and conversely; (b) The areas of two triangles of the same altitude are to each other as their bases; and the areas of two triangles of the same base are to each other as their altitudes. We have in either... | |
 | Herbert Spencer - Psychology - 1906 - 788 pages
...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 - Geometry - 1910 - 316 pages
...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 - Philosophy - 1910 - 780 pages
...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... | |
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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. And triangles generally, are to each other, as the products of their bases and altitudes. 
