 | Robert Potts - 1865 - 528 σελίδες
...the triangle EBC. Therefore, if a parallelogram and a triangle, &c. QED TROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be equal to...of its angles equal to a given rectilineal angle. Let ABC be tie given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | 1865 - 276 σελίδες
...true of 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... | |
 | Civil service - 1866 - 270 σελίδες
...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 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... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...is also double of the triangle EBC. Wherefore, if a parallelogram &c. QED PROPOSITION 42. PROBLEM. To describe a parallelogram that shall be equal to...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... | |
 | 1867 - 224 σελίδες
...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 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... | |
 | Robert Potts - 1868 - 434 σελίδες
...complements, &c. QED 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 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
...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 - 1870 - 270 σελίδες
...3'1416 ; by having any two of these given, we can ascertain the others : thus, D 4A' PROP. 42.— PROB. To describe a parallelogram that shall be equal to a given triangle, . and have one'of its angles equal to a given rectilineal angle. SOL. — P. 10. To bisect a finite st. line.... | |
 | Euclides - 1871 - 136 σελίδες
...parallelogram to the extremities of its opposite sides, are together half of the parallelogram. 5—2 To describe a parallelogram that shall be equal to...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,... | |
 | Euclid, Charles Peter Mason - 1872 - 216 σελίδες
...the AABD. Therefore, it is also the double of the AABE, which is equal to the AABD. PEOPOSITION XLU. To describe a parallelogram, that shall be equal to...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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To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 
