| George Washington Hull - Geometry - 1807 - 408 pages
...Now, &ABC= \EHASEC. §220 But ED ABEC = axb. § 229 Hence &.ABC = I a X b. QED 232. COR. 1. — Two **triangles are to each other as the products of their bases by their** altitudes. COR. 2.— Two triangles having equal bases are to each other as their altitudes. COR. 3.... | |
| James Hayward - Geometry - 1829 - 228 pages
...area of a triangle Is half the product of the base multiplied by the height. Consequently airy two **triangles are to each other as the products of their bases by their heights.** 161. If we designate the height of a rectangle by #, and the base by 6, the area will be expressed... | |
| James Hayward - Geometry - 1829 - 218 pages
...CG is the product of the base of the rectangle CEFG by its height. Therefore — Two rectangles are **to each other as the products of their bases by their heights.** 159. It is usual to estimate areas by square feet, square yards, square rods, &c. By a square foot,... | |
| Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...the same parallels are equal; because if they are between the same parallels their heights must be **equal; and we have the same case as in the last query;...areas of triangles are to each other as the products** obtained by multiplying the length of their bases by their heights; for these products are the areas... | |
| Charles William Hackley - Algebra - 1846 - 542 pages
...weight can be supported by 2J pounds acting at the end of an arm 4§ inches long ? Ans. 2/j pounds. (5) **Triangles are to each other as the products of their bases by their** altitudes. The bases of two triangles are to each other as 17 and 18, and their altitudes as 21 and... | |
| Benjamin Greenleaf - 1863 - 338 pages
...x ? Ans. x = 57. 5. If a -f- x : a — x : : 11 : 7, what is the ratio of a to x '! Ans. 9 : 2. 6. **Triangles are to each other as the products of their bases by their** altitudes. The bases of two triangles are to each other as 17 to 18, and their altitudes as 21 to 23... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...other as their bases ; triangles having equal bases are to each other as their altitudes ; and any two **triangles are to each other as the products of their bases by their** altitudes. PROPOSITION VI.— THEOREM. 17. The area of a trapezoid is equal to the produet of its altitude... | |
| William Chauvenet - Geometry - 1872 - 382 pages
...other as their bases; triangles having equal bases are to each other as their altitudes; and any two **triangles are to each other as the products of their bases by their** altitudes. PROPOSITION VI.—THEOREM. 17. The area of a trapezoid is equal to the product of its altitude... | |
| David Munn - 1873 - 160 pages
...each other as their bases ; triangles having equal bases are toeach other as their altitudes, and two **triangles are to each other as the products of their bases by their** altitudes. PROP. IV. — To find the area of a triangle, -when the three sides are given. In the triangle... | |
| Benjamin Greenleaf - Algebra - 1879 - 348 pages
...of x ? Ans. x = 57. 5. If a -f- x : a — x : : 11 : 7, what is the ratio of a to x ? Ans. 9 : 2. 6. **Triangles are to each other as the products of their bases by their** altitudes. The bases of two triangles are to each other as 17 to 18, and their altitudes as 21 to 23... | |
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