| William Chauvenet - 1905 - 336 pages
...for its limit. AE AE Therefore, by II., Theorem, Doctrine of Limits, = - (-H, 42, and III., 14.) 6. **COROLLARY. Two rectangles having equal bases are to each other as their altitudes.** Note. In these propositions, by " rectangle" is to be understood " surface of the rectangle." PROPOSITION... | |
| Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...to two given lines. 101. Parallelograms having equal bases and equal altitudes are equivalent. 102. **Two rectangles having equal bases are to each other as their altitudes.** 103. Two rectangles are to each other as the products of their bases by their altitudes. 104-107. The... | |
| International Correspondence Schools - Building - 1906 - 634 pages
...40. Since any of the sides of a rectangle can be considered as the base, it follows that the area of **two rectangles having equal bases are to each other as their altitudes.** 41. The areas of any two rectangles are to each other as the products of their bases by their altitudes.... | |
| Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...(?), ES EG and — will approach — as a limit (?). ER EF .-. = (?) (242). EG EF JED 369. THEOREM. **Two rectangles having equal bases are to each other as their altitudes.** (Explain.) 370. THEOREM. Any two rectangles are to each other as the products of their bases by their... | |
| Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...limit (?), ES EG and — will approach — as a limit (?). EB EF ^ ' EG EF (242). ^ ' QED 369. THEOREM. **Two rectangles having equal bases are to each other as their altitudes.** (Explain.) 370. THEOREM. Any two rectangles are to each other as the products of their bases by their... | |
| Webster Wells - Geometry, Plane - 1908 - 206 pages
...Theorem of Limits. 276. Since either side of a rectangle may be taken as the base, it follows that **Two rectangles having equal bases are to each other as their altitudes.** PROP. II. THEOREM 277. Any two rectangles are to each other as the products oj their bases by their... | |
| Webster Wells - Geometry - 1908 - 336 pages
...Theorem of Limits. 276. Since either side of a rectangle may be taken as the base, it follows that **Two rectangles having equal bases are to each other as their altitudes.** PROP. II. THEOREM 277. Any two rectangles are- to each other as the products oj their bases by their... | |
| Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...ratio is 4, find the whole line. BOOK IV. AREAS OF POLYGONS Group I. Ratio of Areas of Rectangles 1. **Two rectangles having equal bases are to each other as their altitudes.** 2. Find the ratio of a rectangular lawn 72 yards by 49 yards to a grass turf 18 inches by 14 inches.... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 328 pages
...altitudes by h and ft', respectively. Then P = b . h and B' = b '. h'. .-. — = ~^-- 480. Cor. m. (a) **Two rectangles having equal bases are to each other as their altitudes,** and (6) two rectangles having equal altitudes are to each other as their bases. — . — — OUTLINE... | |
| Geometry, Plane - 1911 - 192 pages
...the middle point of a line of given length whose extremities move along two perpendicular lines. 6. **Two rectangles having equal bases are to each other as their altitudes,** both when the latter are commensurable and incommensurable. 7. To construct a circle equivalent to... | |
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