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" 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 - Σελίδα 197
των George Albert Wentworth - 1881
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - 1829 - 129 σελίδες
...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....

An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1837 - 159 σελίδες
...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...

An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1847 - 150 σελίδες
...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...

Harvard Examination Papers

1873 - 164 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1877 - 398 σελίδες
...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...

Exercises Contained in Wentworth's Geometry: With Key, Followed by a ...

George Albert Wentworth - 1879 - 182 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1882 - 398 σελίδες
...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...

Elements of Plane and Solid Geometry

George Albert Wentworth - 1884 - 406 σελίδες
...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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