 | Edward Olney - Geometry - 1883 - 352 pages
...of their bases by their altitudes. 349. SCHOLIUM.—The arithmetical signification of the theorem, The area of a rectangle is equal to the product of its txixe, and altitude, is this: Let the base be 6 and the altitude a; then we have, by the proposition,... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...XII); that is, the two diagonals bisect each other in E. Therefore, the diagonals, etc. THEOREM XXIII. The area of a rectangle is equal to the product of its base by its altitude. Let ABCD be a rectangle. It D c is to be proved that its area is equal to the... | |
 | George Albert Wentworth - Arithmetic - 1886 - 392 pages
...rectangle equivalent to the square, but which cannot be made to coincide with it. FIG. 43. 417. THEOREM. The area of a rectangle is equal to the product of its base by its altitude (§ 160). 418. THEOREM. The area of a square, therefore, is equal to the square... | |
 | William Chauvenet - Geometry - 1887 - 364 pages
...Proposition II., R^h S_ = k S h" R' A'' and multiplying these ratios, we find R _ k X h R' ~ K X h'' 8. Scholium. It must be remembered that by the product...side is the linear unit ; then, by Proposition III., R _k X h _ ~ •n Q , But since Q is the unit of surface, - = the numerical measure, or area, of the... | |
 | William Chauvenet - Geometry - 1887 - 342 pages
...which represent them when they are measured by the linear unit (III., 8). PROPOSITION IV.— THEOREM. 9. The area of a rectangle is equal to the product...side is the linear unit ; then, by Proposition III., jy But since Q is the unit of surface, - = the numerical measQ ure, or area, of the rectangle, E, (1)... | |
 | William Chauvenet - Geometry - 1887 - 346 pages
...represent them when they are measured by the linear unit (III., 8). PROPOSITION IV.— THEOREM. 9. Tlie area of a rectangle is equal to the product of its...side is the linear unit ; then, by Proposition III., But since Q is the unit of surface, - = the numerical nieas«^ ure, or area, of the rectangle, R, (1)... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 332 pages
...two rectangles are to each other as the products of their bases by their altitudes. PROPOSITION IV. The area of a rectangle is equal to the product of its base and altitude. PROPOSITION V. The area of a parallelogram is equal to the product of its base and altitude. PROPOSITION... | |
 | Christian Brothers - Arithmetic - 1888 - 484 pages
...between 2809 sq. ft. Ï500 sy. ft., or У09 sg. it. 28'09 2500 50 3 502 = = 100 3 50x2 309 53 Ans. Since the area of a rectangle is equal to the product of its length and width, the width is equal to the area divided by the length. Therefore, the probable width... | |
 | George Albert Wentworth - Geometry - 1888 - 272 pages
...times its breadth. Compare their areas. R a' R. i a S AREAS OF POLYGONS. PROPOSITION III. THEOREM. 363. The area of a rectangle is equal to the product of its base and altitude. Let B be the rectangle, 6 the base, and a the altitude; and let U be a square whose side is equal to the... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...length of the rectangle is 4 times its breadth. Compare their areas. PROPOSITION III. THEOREM. 363. The area of a rectangle is equal to the product of its base and altitude. i ZJ Let B be the rectangle, b the base, and a the altitude; and let U be a square whose side is equal... | |
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The area of a rectangle is equal to the product of its base and altitude. 
