 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...remainder, the complement KD. [Axiom 3. Wherefore, the complements &c. QED PROPOSITION 44. PROBLEM. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle : it... | |
 | 1867 - 224 σελίδες
...whole and one of the parts may be equal to the square on the other part. 9. To a given straight line apply a parallelogram, which shall be equal to a given...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... | |
 | Robert Potts - 1868 - 434 σελίδες
...the remaining complement KD. (ax. 3.) Wherefore the complements, &c. QED PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram,...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... | |
 | Robert Johnston (F.R.G.S.) - 1869 - 196 σελίδες
...to 3 times the sain of the 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.... | |
 | Euclides - 1871 - 136 σελίδες
...BC, CD (one of them being produced) in M, N. Shew that the triangle MBN is equal to the triangle MDC. To a given straight line to apply a parallelogram,...shall be equal to a given triangle, and have one of it* angle* equal to a given angle. HA Let AB be the given st. line, C the given A, D the given / .... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...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... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...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...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... | |
 | 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.... | |
 | 1874 - 682 σελίδες
...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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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. 
