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" To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Seite 45
von Robert Simson - 1775 - 520 Seiten
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Papers Read at the Royal Institute of British Architects

1865 - 276 Seiten
...triangles. 4. Prop. 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. Book 2. 5. What is the definition of the gnomon of a parallelogram ? 6. Prop. 12. Theorem. In obtuse...
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Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866 - 266 Seiten
...one to the third angle of the other. 2. 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. 3. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...Wherefore, if a parallelogram &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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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...BC, and between tho same parallels 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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Examination papers collected by A. Clark as a student and as an examiner

1867 - 224 Seiten
...equal to the square on the other part. 9. 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. 10. If a straight line be bisected, and produced to any point, the rectangle contained by the whole...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...triangle. 104. Describe a right-angled triangle equal to a given triangle 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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Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 196 Seiten
...; 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 ..., Teil 1

Euclides - 1871 - 132 Seiten
...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 - 1872 - 212 Seiten
...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 - 1872 - 372 Seiten
...triangle MDC. 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 angle. Jl Let A3 be the given st. line, C the given A, D the given L , It ix required to apply to AB...
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