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" Two rectangles are to each other as the products of their bases and altitudes. For if R = a6, and R "
Plane Geometry - Page 194
by Webster Wells, Walter Wilson Hart - 1915 - 309 pages
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...I.) Hence all R corresponding approximate values of — and — are equal. b R R' b T (223) 345. COR. Rectangles having equal bases are to each other as their altitudes. Ex. 1081. To divide a given rectangle into three equivalent parts. Ex. 1082. From a given rectangle, to...
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Junior High School Mathematics ...

John Charles Stone - Mathematics - 1919 - 232 pages
...a 6. The proportion — = -, found in problem 5, is stated as a principle as follows : The areas of two rectangles having equal bases are to each other as their altitudes. 7. Find the relation of two rectangles having equal altitudes, and state the result as a principle....
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...all corresponding approximate values of — and — are equal. b R AREAS OF POLYGONS 207 345. COB. Rectangles having equal bases are to each other as their altitudes. Ex. 1081. To divide a given rectangle into three equivalent parts. Ex. 1082. From a given rectangle, to...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...(224). 3. (47, 141, 147). 4. (224). 6. Why? EFGH CASE II. (Incommensurable.) See Appendix. 348. COR. Rectangles having equal bases are to each other as their altitudes. Ex. To divide a given rectangle into three congruent rectangles. [Practical Applications, page 296.] PBOPOSITION...
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The Course of Study: A Monthly Publication for Teachers and Parents, Volume 1

Education, Elementary - 1900 - 1022 pages
...parallel, (e) Converse of "dv (f) Two rectangles having equal bases and equal altitude are equal. ( gj Two rectangles having equal bases are to each other as their altitudes; /. e,, comparison of bottom and side, (h) Two rectangles having equal altitudes are to each other as...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...products of their bases and altitudes. For if E = «&, and R' = a'b', then — = XT afu 323. COROLLARY 2. Two rectangles having equal bases are to each other as their altitudes. 324. COROLLARY 3. Two rectangles having equal altitudes are to each other as their bases. 325. COROLLARY...
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Plane Geometry

Royal A. Avery - Geometry, Modern - 1925 - 360 pages
...ratio can be found approximately by taking AK sufficiently small. 344. Corollary. — The areas of two rectangles having equal bases are to each other as their altitudes. 1 1 1 j i 1 Proposition II. Theorem 345. Two rectangles are to each other as the products of their...
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