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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 plane geometry, practically applied; book i, with explanatory notes ... - Side 54
av Euclides - 1863
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 sider
...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,...
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Civil service guide

Robert Johnston (F.R.G.S.) - 1873 - 208 sider
...each, and also the third angle of the 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 ita angles equal to a given rectilineal angle. 3. If a straight line be bisected, and produced to any...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 426 sider
...KD (An. 3). KD' Therefore, the complements, &c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which shall be equal...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...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...complement KD (Ax. 3). Wherefore, the complements, &c. QED PKOPOSITION 44. — Problem. To a given straight line to apply a parallelogram, which shall be equal...triangle, and have one of its angles equal to a given rectilineal angle. HAL Let AB be the given straight line, and C the given triangle, and D the given...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 sider
...parallelogram EH is equiangular to the parallelogram BD. PROPOSITION 44. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal...triangle, and have one of its angles equal to a given rectilineal angle. * Let AB be the given straight line, and C the ' • given triangle, and I) the...
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 sider
...the same base, and between the 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...
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Pure mathematics, Volum 1

Edward Atkins - 1874 - 428 sider
...&c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which thall be equal to a, given triangle, and have one of its angles equal to a given rectilineal angle. GEOMETRY. Make paralleloI.Tam BEFG = A < ', and / at li = i D, and EBAa straight...
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Annual Report of the Commissioners ..., Volum 40

1874 - 682 sider
...and of the square on the line made up of the half and the part produced. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle, and hare one of its angles equal to a given rectilineal angle. 3. Given the area of a circle equal to 5...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 sider
...a figure if the sum of its interior is donble that of its exterior angles ? 3. To a given straight line to apply a parallelogram, which shall be equal...triangle, and have one of its angles equal to a given rectilineal angle. Is this a problem or a theorem ? Why ? Algebra.— I. Simplify 9 (3*— a) (3z +...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 sider
...complement KD (Ax. 3). Therefore, the complements, &c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which shall be equal...triangle, and have one of its angles equal to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given angle....
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