| 1856
...together equal to two right angles. 5. If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two parts, together with twice the rectangle** contamed by the parts. 6. In obtuse-angled triangles if a perpendicular be drawn from either of the... | |
| 1858
...parallelogram. BOOK II. 5. PROP. IV. — If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts.** 6. PROP. IX. — If a straight line be divided into two equal, and also into two unequal parts ; the... | |
| Great Britain. Parliament. House of Commons - 1858
...parallelogram. BOOK II. 5. PROP. IV. — If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts.** 6. PROP. IX. — If a straight line be divided into two equal, and also into two unequal parts ; the... | |
| Elias Loomis - 1858 - 234 sider
...THEOREM. If a straight line is divided into any two parts, the square oj the whole line is equivalent **to the squares of the two parts, together with twice the rectangle contained by the parts.** Let the straight line AB be divided into any two parts in C ; the square on AB is equivalent to the... | |
| Euclides - 1858
...PROP. IV. THEOII. If a st. line be divided into any two parts, the square of the whole line equals **the squares of the two parts, together with twice the rectangle contained by the parts.** CоN. 46. Fat. 1, 31 I. DEM. 29. I, Def. 30. I, 5. I, Ax. 1. 6. I, Ax. 3. 34. I, 43. I. Exp. ! 1 Con.... | |
| Euclides - 1858
...4. II. If a st. line be divided into any two parts, the square of the whole line equals the square **of the two parts together with twice the rectangle contained by the parts.** Def. 30. I. A square is a four-sided figure having all its sides equal, and its angles rt. angles.... | |
| War office - 1858 - 12 sider
...equal parts. 3. "What is a rectangle ? If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two parts,** and to twice the rectangle contained by the parts. If the line be bisected, what do the rectangles... | |
| Sandhurst roy. military coll - 1859 - 1869 sider
...terminated in the other extremity. 2. If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts.** VOLUNTARY PORTION. 1. Prove that if the diagonals of a quadrilateral figure bisect each other, the... | |
| Thomas Stantial - 1859
...same manner the following : — ^ A. " If a straight line be divided into any two parts, the square of **the whole line is equal to the squares of the two parts** and twice their rectangle. B. " If a straight line be. divided into two equal and also into two unequal... | |
| Civil service
...parallelogram. BOOK II. PROP. IV — If a straight lice be divided into any two parts, the square of **the whole line is equal to the squares of the two...together with twice the rectangle contained by the parts.** PROP. IX. — If a straight line be divided into two equal, and also into two nnequal parts ; the squares... | |
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