| Euclid - 1904 - 456 páginas
...EUCLID-S ELEMENTS. PROPOSITION 7. THEOREM. If a straight line is divided into any two parts, the sum of **the squares on the whole line and on one of the parts** is equal to twice the rectangle contained by the whole and that part, together with the square on the... | |
| 1906
...rectilineal figure, and having an angle equal to a given rectilineal angle. 3. If a straight line be **divided into any two parts, the squares on the whole...part, together with the square on the other part.** 4. In every triangle the square on the side subtending an acute angle is less than the squares on the... | |
| Saskatchewan. Department of Education - 1906
...every two of the segments. (d) Illustrate deduction (c) algebraically. 6. (a) If a straight line be **divided into any two parts, the squares on the whole...part, together with the square on the other part.** — II. 7. (6) Compare proposition (a) in question 5 with proposition (a) in question 6 as to similarity... | |
| University of Calcutta - 1906
...parallels, are eqnal in area. 3. If a straight line is divided into any two parts, prove that the sum 8 of **the squares on the whole line and on one of the parts,** is eqnal to twice the rectangle contained by the whole and that part, together with the sqnare on the... | |
| 1908
...divided into any two parts, the squares of the whole line and of one of the parts are equal to Geometry. **twice the rectangle contained by the whole and that part, together with the square** of the other part. 3. Prove that the diameter of a circle is the greatest chord ; that of others, one... | |
| McGill University - 1883
...area of the given triangle with that of the triangle formed by these lines. 5. If a straight line be **divided into any two parts, the squares on the whole...one of the parts are equal to twice the rectangle** under NATURAL PHILOSOPHY. 1. Define elasticity, resultant, lever, foree, centre of gravity. 2. Determine... | |
| Trinity College (Dublin, Ireland) - 1910
...triangle. 5. If a straight line be divided into any two parts, the squares of the whole line and of **one of the parts are equal to twice the rectangle...the whole and that part, together with the square** of the other. («) Prove that the square of the sum of two lines is equal to the square of their difference,... | |
| Trinity College (Dublin, Ireland) - 1919
...straight line be divided into any two parts, the sum of the squares on the whole line and one part is **equal to twice the rectangle contained by the whole and that part, together with the square** of the other part. 3. Prove that angles in the same segment of a circle are equal. (a) Point out how... | |
| |