 | William Chauvenet - 1871 - 380 σελίδες
...(III. 15). 4. Corollary. Since AD may be called the base, and AB and AE the altitudes, it follows that 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... | |
 | William Chauvenet - 1872 - 382 σελίδες
...(III. 15). 4. Corollary. Since AD may be called the base, and AB and AE the altitudes, it follows that 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... | |
 | George Albert Wentworth - 1879 - 262 σελίδες
...their limits ; rect AF .'. their limits are equal, namely, are always equal AE §199 rect. AC AB a ED 314. COROLLARY. Two rectangles having equal bases...equal bases, are to each other as their altitudes. ANOTHER DEMONSTRATION. Let AC and A' C' be two rectangles of equal altitudes. PC O PI A' D' E' J-'i... | |
 | Webster Wells - 1886 - 392 σελίδες
..._ AD 153 317. COROLLARY. 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. PROPOSITION II. THEOREM. 318. Any two rectangles are to each other as the products of their bases by... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 342 σελίδες
...AE Therefore, by II., Theorem, Doctrine of Limits, ABCD AB AEFD AE' (v. II., 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... | |
 | William Chauvenet, William Elwood Byerly - 1887 - 331 σελίδες
...equivalent. PROPOSITION II. Two rectangles having equal altitudes are to each other as their bases. Corollary. Two rectangles having equal bases are to each other as their altitudes. PROPOSITION III. Any two rectangles are to each other as the products of their bases by their altitudes.... | |
 | George Albert Wentworth - 1888 - 264 σελίδες
...are constantly equal, and each approaches a limit, the limits arc equal). a ED 361. COB. The areas of two rectangles having equal bases are to each other as their altitudes. For AB and AE may be considered as the altitudes, AD and AD as the bases. PROPOSITION II. THEOREM.... | |
 | George Albert Wentworth - 1889 - 276 σελίδες
...Definitions. Equivalent figures, area of a figure, units of area, transformation of a figure. 176. Theorem. Two rectangles having equal bases are to each other as their altitudes; and two rectangles having equal altitudes are to each other as their bases. 177. Theorem. Any two rectangles... | |
 | George Albert Wentworth - 1889 - 264 σελίδες
...Definitions. Equivalent figures, area of a figure, units of area, transformation of a figure. 176. Theorem. Two rectangles having equal bases are to each other as their altitudes; and two rectangles having equal altitudes are to each other as their bases. 177. Theorem. Any two rectangles... | |
 | William Chauvenet - 1893 - 340 σελίδες
...equivalent. PROPOSITION II. Two rectangles having equal altitudes are to each other as their bases. Corollary. Two rectangles having equal bases are to each other as their altitudes. PROPOSITION III. Any two rectangles are to each other as the products of their bases by their altitudes.... | |
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Any two rectangles are to each other as the products of their bases by their altitudes. 
