Construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon. Elements of Geometry - Page 207by George Albert Wentworth - 1881 - 250 pagesFull view - About this book
| Timothy Walker - Geometry - 1829 - 156 pages
...equal to the given line. 111. PROBLEM. — To make a parallelogram equivalent to a given square, and **having the difference of its base and altitude equal to a given line.** Let the side of the given square be equal to AD (fig. 74) and let the F 74 given line be A B. SOL.... | |
| Benjamin Peirce - Geometry - 1837 - 216 pages
...AE X EB = DE2 = AC2. 298. Problem. To construct a parallelogram, equivalent to a given square, and **having the difference of its base and altitude equal to a given line.** • Solution. Upon the given line AB (fig. 139) as a diameter describe a circle. At A draw the tangent... | |
| Benjamin Peirce - Geometry - 1847 - 204 pages
...and by § 290, AE X EB 298. Problem. To construct a parallelogram, equivalent to a given square, and **having the difference of its base and altitude equal to a given line.** Solution. Upon the given line AB (fig. 139) as a diameter describe a circle. At A draw the tangent... | |
| 1873 - 192 pages
...triangle equivalent to a given polygon. 8. To construct a parallelogram equivalent to a given square, and **having the difference of its base and altitude equal to a given line.** IX. 1. Prove that when oblique lines are drawn from a point in a perpendicular to points unequally... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...3. Construct a square equivalent to the sum of a given triangle and a given parallelogram, v» ) 4. **Construct a rectangle having the difference of its...Construct a pentagon similar to a given pentagon and** CONSTRUCTIONS. 207 « _. AB finn«. For n A'Bf m? A~& Squaring, п2 АгB'2 But P = m*, Cons. and Q... | |
| George Albert Wentworth - Geometry - 1877 - 436 pages
...and 3. 3. Construct a square equivalent to the sum of a given triangle and a given parallelogram. 4. **Construct a rectangle having the difference of its...area shall be to that of the given hexagon as 3 to 2.** PROPOSITION XXIX. PROBLEM. 362. To construct a polygon similar to a given polygon, and having two and... | |
| George Albert Wentworth - Geometry - 1877 - 426 pages
...IV. PROPOSITION XXVI. PROBLEM. 359. To construct a parallelogram equivalent to a given square, and **having the difference of its base and altitude equal to a given line.** S .1/ N Let R be the given square, and let the difference of the base and altitude of the required... | |
| George Albert Wentworth - 1879 - 196 pages
...rectangle R, having SB for its base and SC for its altitude. R is the rectangle required (§359). Ex. **5. Given a hexagon; to construct a similar hexagon...area shall be to that of the given hexagon as 3 to 2.** Let P be the given hexagon; and let m be the linear unit of measure. On the indefinite line LR, take... | |
| George Albert Wentworth - Geometry - 1882 - 442 pages
...and 3. 3. Construct a square equivalent to the sum of a given triangle and a given parallelogram. 4. **Construct a rectangle having the difference of its...given pentagon and equivalent to a given trapezoid.** 208 GEOMETBY. — BOOK IV. PROPOSITION XXIX. PROBLEM. 362. To construct a polygon similar to a given... | |
| George Albert Wentworth - Geometry - 1884 - 422 pages
...and 3. 3. Construct a square equivalent to the sum of a given triangle and a given parallelogram. 4. **Construct a rectangle having the difference of its...5. Given a hexagon ; to construct a similar hexagon** whoso area shall he to that of the given hexagon as 3 to 2. For CONSTRUCTIONS. m AB н A' B' 207 Squaring,... | |
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