 | William Betz - Geometry - 1916 - 536 pages
...and base respectively of the rectangle whose area is B, then R = afi gquare unitg 322. COROLLARY 1. Two rectangles are to each other as the products of their bases and altitudes. For if B = 06, and R' = a'b', then — = — . R' a'b' 323. COROLLARY 2. Two rectangles... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...a given one as m : n, when tn and n are two given lines. PROPOSITION II. THEOREM 346. The areas of two rectangles are to each other as the products of their bases and altitudes. bb' Given rectangles R and B' having the bases 6 and b' and the altitudes a and a' respectively.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...bh. * 347. Theorem. The area of a square equals the square of its side . 348. Theorem. The areas of two rectangles are to each other as the products of their bases and altitudes. -jt = ^p. 349. Theorem. The areas of two rectangles having equal bases are to each other... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...§ 347. Theorem. The area of a square equals the square of its side. § 348. Theorem. The areas of two rectangles are to each other as the products of their bases and altitudes. § 349. Theorem. The areas of two rectangles having equal bases are to each other as... | |
 | William Emer Miller - Mnemonics - 1920 - 124 pages
...square on the 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... | |
 | William Emer Miller - Mnemonics - 1921 - 120 pages
...mind. Do the same 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... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...= ab. 443. Corollary 1. The, area of a square is equal to the square of its side. 444. Corollary 2. Two rectangles are to each other as the products of their bases and altitudes. NOTE. When we say "two rectangles are to each other," we mean "the areas of two rectangles... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...to a given one as m : n, when m and n are two given lines. PROPOSITION II. THEOREM 346. The areas of two rectangles are to each other as the products of their bases and altitudes. b' Given rectangles B and R' having the bases b and b' and the altitudes a and a' respectively.... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...to each other as their altitudes ; rectangles with equal altitudes are to each other as their bases; any two rectangles are to each other as the products of their bases and altitudes ; and similarly for parallelograms and triangles. 3. The areas of two similar polygons... | |
 | Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...a square whose side is 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&-... | |
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K hag to M the ratio which is compounded of the ratios of the sides ; therefore also the parallelogram AC has to the parallelogram CF the ratio which is compounded of the ratios of the sides. COR. Hence, any two rectangles are to each other as the products... 
