 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...areas of two rectangles having equal bases are to each other as their altitudes. 362. The areas of two rectangles are to each other as the products of their bases by their altitudes. 363. The area of a rectangle is equal to the product of its base and altitude.... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...linear unit. To PROVE — area of R = a X b, provided U is the unit of area. R axb = axb. §380 U ixi [Two rectangles are to each other as the products of their bases by their altitudes.] But — = area of R. U §374 [The area of a surface is the ratio of that surface... | |
 | New York (State). Legislature. Senate - Government publications - 1897 - 1306 pages
...4-5 State and prove a theorem, the conclusion of which is, the triangles are similar. 6-7 Prove that any two rectangles are to each other as the products of their bases and altitudes. 8 Derive an expression for the area of a regular triangle whose side is s. 9 State in words the process... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...a linear unit. To PROVE—area of R = a X b, provided U is the unit of area. R_aX b_ [The areas of two rectangles are to each other as the products of their bases and altitudes.] But - = area of R. § 355 [The area of a surface is the ratio of that surface to the unit surface.]... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...unit. To PROVE — area of R = a X b, provided U is the unit of area. ^rlrr"**- §361 [The areas of two rectangles are to each other as the products of their bases and altitudes.] P But - = areaofAJ. §355 [The area of a surface is the ratio of that surface to the unit surface.]... | |
 | Webster Wells - Geometry - 1898 - 250 pages
...Since either side of a rectangle may be taken as the base, it follows that PROP. ii. THEOREM. 301. Any two rectangles are to each other as the products of their bases by their altitudes. V Given M and N rectangles, with altitudes a and a', and bases 6 and b ' , respectively.... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...angle between a secant and a tangent is measured by one-half the difference of the intercepted arcs. 6. Any two rectangles are to each other as the products of their bases by their altitudes. 7. The area of a circle is equal to one-half the product of its circumference and... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...The area of a rectangle is equal to the product of its base and altitude. It is known (from 247) that two rectangles are to each other as the products of their bases by their altitudes ; therefore, but S is the unit of area ; hence R = h x b. 249. COB. If h = b, then... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...rectangles having equal bases are to each other as their altitudes. Proposition 163. Theorem. 199. Any two rectangles are to each other as the products of their bases and altitudes. Hypothesis. R and r are two rectangles whose respective bases are B and 6, and whose respective altitudes... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...its altitude. To prove that the area of H = a X b. Proof. Let U be the unit of surface. R a X b U 1X1 (two rectangles are to each other as the products of their bases and altitudes). • = a X b, § 397 But jj = the number of units of surface in R. § 393 .'. the area of R = a X b.... | |
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Any two rectangles are to each other as the products of their bases by their altitudes. 
