 | Henry Major - Student teachers - 1873 - 588 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,... | |
 | Robert Johnston (F.R.G.S.) - 1873 - 208 pages
...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... | |
 | Edward Atkins - 1874 - 426 pages
...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... | |
 | Euclides - 1874 - 342 pages
...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... | |
 | Euclides - 1874 - 120 pages
...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... | |
 | Braithwaite Arnett - 1874 - 130 pages
...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... | |
 | Edward Atkins - 1874 - 428 pages
...&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... | |
 | 1874 - 682 pages
...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... | |
 | Henry Major - 1876 - 784 pages
...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 +... | |
 | Edward Atkins - 1876 - 130 pages
...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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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. 
