| Webster Wells, Walter Wilson Hart - Geometry, Plane - 1915 - 330 pages
...follows that: (1) Triangles having equal bases and equal altitudes are equal. (2) Two triangles are **to each other as the products of their bases by their altitudes.** (3) Triangles having equal altitudes are to each other as their bases. (4) Triangles having equal bases... | |
| Edward Rutledge Robbins - Geometry, Plane - 1915 - 280 pages
...equal bases are to each other as then" altitudes. Proof : ('."). 370. COROLLARY. Any two triangles are **to each other as the products of their bases by their altitudes.** Proof : (?). PROPOSITION VI. THEOREM 372. The area of a trapezoid is equal to half the product of the... | |
| Webster Wells, Walter Wilson Hart - Geometry - 1916 - 490 pages
...respectively. What is the ratio of If to T? AREAS OF POLYGONS PROPOSITION II. THEOREM 329. Two rectangles are **to each other as the products of their bases by their altitudes.** Hypothesis. Rectangle M has base b and altitude a ; rectangle N has base b' and altitude a'. Conclusion.... | |
| William Emer Miller - Mnemonics - 1920 - 124 pages
...hypotenuse of a right angle is equal to the sum of the square on the other two sides. Two rectangles are **to each other as the products of their bases by their altitudes.** In the illustration below the bases and altitudes are emphasized to remind you of the fact that they... | |
| William Emer Miller - Mnemonics - 1921 - 120 pages
...with others. Another example of emphasizing the important lines as in the Theorem : Two rectangles are **to each other as the products of their bases by their altitudes.** In the illustration below the bases and altitudes are emphasized to remind you of the fact that they... | |
| Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...a unit of length. Det.: To prove that R -=- U or R is equal to ab. Proof: As any two rectangles are **to each other as the products of their bases by their altitudes,** we have R : U = (a) (b) : (1)(1), or in fractional form, -yr-' ~° i~~T> or R=a&- (See 250.) QED Perhaps... | |
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