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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. "
Civil service guide - Σελίδα 170
των Robert Johnston (F.R.G.S.) - 1869 - 178 σελίδες
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Henry Major - 1873 - 580 σελίδες
...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...

Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 σελίδες
...third. 3. Parallelograms on the same base, and between the same parallels, are equal to one another. 4. To a given straight line apply a parallelogram, which...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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Edward Atkins - 1874 - 426 σελίδες
...3). KD' Therefore, the complements, &c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which shall be equal to a given...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...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 σελίδες
...(Ax. 3). Wherefore, the complements, &c. QED PKOPOSITION 44. — Problem. To a given straight line to apply a parallelogram, which shall be equal to a given...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 rectilineal angle....

A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 σελίδες
...parallelogram EH is equiangular to the parallelogram BD. PROPOSITION 44. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. * Let AB be the given straight line, and C the ' • given triangle, and I) the given rectilineal angle...

Pure mathematics, Τόμος 1

Edward Atkins - 1874 - 428 σελίδες
...&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 line. HBandFE meet....

Annual Report of the Commissioners ..., Τόμος 40

1874 - 682 σελίδες
...on half the line bisected, 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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Education Department,London - 1876 - 1010 σελίδες
...Triangles upon the same base and between the fcame parallels are equal. 2. To a given straight line to apply a parallelogram which shall be equal to a given...to a given rectilineal angle. 3. If a straight line he divided into any two parts, the square on the whole line is equal to the squares on tin two parts,...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 σελίδες
...diagonal of any parallelogram are equal to one another. .. .. .. .. 141 44. To a given straight line to apply a parallelogram, which shall be equal to a given...one of its angles equal to a given rectilineal angle 16s 45. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal...

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...(Ax. 3). Therefore, the complements, &c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which shall be equal to a given...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. It is required to apply...




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