| Euclid - 1853 - 176 σελίδες
...straight line (AB) to construct a parallelogram which shall be equal in area to a given triangle (C), and have one of its angles equal to a given rectilineal angle (D). SOLUTION. Produce AB to E, and upon BE construct a parallelogram BEFG equalin area to the triangle... | |
| Popular educator - 1854 - 922 σελίδες
...eqttttltoa- given triangle, and having wi'i of its angles equal to a giren rectilineal angle. In fig. 42, Let ABC be the given triangle, and D the given rectilineal angle. It ie required to describe a parallelogram equal to the given triangle ABC, and having one of its angles... | |
| Robert Potts - 1855 - 1050 σελίδες
...double of the square of half the line, and of the square of the line between the points of section. 11. Describe a parallelogram that shall be equal to a...of its angles equal to a given rectilineal angle. 13. Describe a square that shall be equal to a given rectilineal figure. 14. If a point be taken within... | |
| 1855 - 264 σελίδες
...sides equal to the the base of the other. 3. 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. of the whole line is equal between the points of section. 3. To describe a square that shall be equal... | |
| Great Britain. Committee on Education - 1855 - 976 σελίδες
...shall be greater than the base of the other. 3. 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. Section 2. 1. If a straight line be divided into any two parts, the square of the whole line is equal... | |
| Euclides - 1855 - 270 σελίδες
...and having 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 rectilineal angle. It is required to apply to (that is, to describe upon) the straight line AB, a parallelogram equal to the triangle C,... | |
| Cambridge univ, exam. papers - 1856 - 200 σελίδες
...can be described on the same base and between tbe same parallels, which has the least perimeter? 5. To describe a parallelogram that shall be equal to...given triangle, and have one of its angles equal to a right angle. 6. If a straight line be divided into any two parts, the rectangles contained by the whole... | |
| W F. Richards - 1856 - 198 σελίδες
...and between the same parallels are equal. 3. 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. Section II. — 1. If a straight line be divided into any two parts, the square of the whole line shall... | |
| 1858 - 398 σελίδες
...of the last proposition. 5. PUOP. XLIV. — 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. 6. The quadrilateral figuro whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP.... | |
| Great Britain. Parliament. House of Commons - 1858 - 694 σελίδες
...of the last proposition. 5. PROP. XLIV. — 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. 6. The quadrilateral figure whose diameters bisect each other is a parallelogram. BOOK II. 7. PROP.... | |
| |