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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. "
An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 287
by Charles Butler - 1814
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...complements, &c. QED PROPOSITION XLIV. PROBLEM. 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. Let AB be th« given straight line, and Cthe given triangle, and D the given rectilineal angle. It...
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Civil service guide

Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...digits ; find the number. 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 equal to a rectilineal angle. 2. A segment of a circle being given, describe the circle of which it is the segment....
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...its opposite sides, are together half of the parallelogram. 5—2 To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. a Let ABC be the given A , and D the given L . It is required to describe ar~l equal to A ABC,...
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The first and second books of Euclid explained to beginners, by C.P. Mason

Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...double of the AABE, which is equal to the AABD. PEOPOSITION XLU. To describe a parallelogram, that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. For the construction necessary in this proposition we must be able, — 1. To join two given points...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...are together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its a..gles equal to a given angle. B JJ C Let ABC be the given A , and D the given L . It is required...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...two equal parts ; wherefore ABCD is also double of EBC. XLII. — 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 the given triangle, and D the given rectilineal angle. Bisect BC in E, join AE, and at the...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...same parallels, are equal to one another. 4. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. Define a rhombus, and show that its opposite angles are equal. 6. If a straight line be drawn through...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...parallelogram and a triangle, &c. QED PROPOSITION 42. — 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 the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...rectangle having the same baae and altitude. PROPOSITION 42. 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 the given triangle, and D the given ' • rectilineal angle : it is required to describe...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...complements, &c. QED Proposition 44. — Problem. 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. It is required to apply to the straight line AB a parallelogram equal to the triangle C, and having...
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