| George Albert Wentworth - 1881 - 266 σελίδες
...= ) is to be read " equal in area." R a' К a' 1 GEOMETRY. BOOK IV. PROPOSITION III. THEOREM. 319. The area of a rectangle is equal to the product of its base and altitude. \ U b 1 Let IÍ be the rectangle, b the base, and a the altitude ; and let U be a square whose side... | |
| Henry Bartlett Maglathlin - 1882 - 398 σελίδες
...1 square inch each ; and 2 such rows contain 2 times 3 square inches, or 6 square inches. That is, The area of a rectangle is equal to the product of its length and breadth, taken in the same denomination. Also, One of the dimensions of a rectangle is equal... | |
| Isaac Sharpless - 1882 - 286 σελίδες
...AB, have to each other the same ratio. Hence AFH : ADG :: AFxAH : ADxAG. Proposition 16. Theorem. — The area of a rectangle is equal to the product of its adjacent sides. Let AC be a rectangle ; its area is equal to the product of AB and BC. GEOMETRY.—... | |
| Edward Olney - 1883 - 352 σελίδες
...pxq. AB AD ABCD mxn i * i ABxAD Therefore _ EFQH pxq EFxEH' QED PROPOSITION VII. 344. Theorem. — The area of a rectangle is equal to the product of its base and altitude. DEMONSTRATION. Let ABCD be a rectangle. We are to prove that its area is AB x AD. Let the square «... | |
| Edward Olney - 1883 - 344 σελίδες
...their bases by their altitudes. 349. SCHOLIUM.—The arithmetical signification of the theorem, Th» area of a rectangle is equal to the product of its base and altitude, is this: Let the base be 6 and the altitude a; then we have, by the proposition, area = db. Now, in... | |
| Alfred Hix Welsh - 1883 - 326 σελίδες
...ab : a'b'. Q. E . D. QUERY. What Problem of Ch. V is involved in the construction of R"? THEOREM IV. The area of a rectangle is equal to the product of its base by its altitude. R 4 6' Let R be any rectangle with base b and altitude a. Upon any assumed base,... | |
| Daniel W. Fish - 1883 - 364 σελίδες
...of each rectanple. The units' figure of the root is equal to the width of one of these rectangles. The area of a rectangle is equal to the product of its length and width (2 15); hence, if the area be divided by the length, the quotient will be the width.... | |
| Edward Olney - 1883 - 352 σελίδες
...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,... | |
| Daniel W. Fish - 1883 - 348 σελίδες
...of each rectangle. The units' figure of the root is equal to the width of one of these rectangles. The area of a rectangle is equal to the product of its length and width (Í2 15); hence, if the area be divided by the length, the quotient will be the 20... | |
| Evan Wilhelm Evans - 1884 - 170 σελίδες
...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... | |
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