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" To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 50
by Euclides - 1838
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Responsions

University of Oxford - Education, Higher - 1863 - 328 pages
...the same base, and between the same parallels, are equal to one another. 6. To a given straight line apply a parallelogram which shall be equal to a given...of its angles equal to a given rectilineal angle. 7. If the square described upon one of the sides of a triangle be equal to the squares described upon...
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Guide to the Civil service

Henry White - 1864 - 156 pages
...selected Mathematics as a subject of examination. A. — PURE MATHEMATICS. 1. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles eqnal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...triangle ABC. i nc TO a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...triangle ABC. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...triangle, and have one of its angles equal to a given rectilineal angle ......... I. 42. 2. To a given straight line to apply a parallelogram, which shall...one of its angles equal to a given rectilineal angle . . . . . .1. 44. 3. To describe a parallelogram equal to a rectilineal figure, and having an angle...
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Papers Read at the Royal Institute of British Architects

Architecture - 1865 - 276 pages
...equal to one another. Shew this is equally true of triangles. 4. Prop. 44. — Problem. To a given straight line to apply a parallelogram, which shall...of its angles equal to a given rectilineal angle. Book 2. 5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12. Theorem. In obtuse...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...a parallelogram and a triangle, &c. QED TROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of...its angles equal to a given rectilineal angle. Let ABC be tie given triangle, and D the given rectilineal angle. It is required to describe a parallelogram...
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Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865 - 80 pages
...the angle B to E. PROPOSITION XXVII. PROB. At a given point in a given straight line to make an angle equal to a given rectilineal angle. Let AB be the given straight line, and A a given point in it, and DCE the given rectilineal angle, it is required to make an angle at...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 pages
...triangle MDC. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which thall be equal to a given triangle, and have one of its angles to a given angle. A. Let AB be the given st. line, C the given A, D the given L . It is required...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...J.BC. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. .Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of...
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