| Euclides - 1858
...— THEOR. If a st. line be divided into any two parts, the rectangles contained by the whole line **and each of the parts, are together equal to the square of the whole line.** CONS. — 46. I. On a given st. line to describe a square. 31. L Through a given point to draw a parallel... | |
| Elias Loomis - 1858 - 234 sider
...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 squares on AC CB, together with twice the rectangle contained... | |
| Sandhurst roy. military coll - 1859 - 1869 sider
...greater than either of the interior opposite angles. 2. If a straight line be divided into any two **parts, the rectangles contained by the whole and each of the parts are together equal to the square** on the whole line. 3. The straight line drawn at right angles to the diameter of a circle from the... | |
| Robert Potts - 1860 - 361 sider
...PROPOSITION II. THEOREM. If a straight line be divided into any two parts, the rectangles contained Jty **the whole and each of the parts, are together equal to the square** on the whole line. Let the straight line AB be divided into any two parts in the point C. Then the... | |
| War office - 1861 - 12 sider
...lines, it makes the alternate angles equal to each other. 3. If a straight line be divided into any two **parts, the rectangles contained by the whole and each of the parts are together equal to the square** on the whole line. 4. In a circle the angle in a semi-circle is a right angle ; but the angle in a... | |
| Euclides - 1862
...square on the other part. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst **the straight line AB be divided into any two parts in the point C.** Sequence. — The squares on AB and BC shall be equal to twice the rectangle AB . BC, together with... | |
| Euclides - 1862
...with twice the rectangle contained by the parts. (References — Prop. i. 5, 6, 29, 31, 34, 43, 46.) **Let the straight line AB be divided into any two parts in** C. Then the square of AB shall be equal to the squares of AC, CB, together with twice the rectangle... | |
| University of Oxford - 1863
...on the same side together equal to two right angles. 5. If a straight line be divided into any two **parts, the rectangles contained by the whole and each of the parts are together equal to the** squares on the whole line. 6. Describe a parallelogram equal to a given rectilineal figure, and having... | |
| Euclides - 1864
...be two straight lines, &c. QED PROPOSITION II. THEOREM. If a ttraight line be divided into any two **parts, the rectangles contained by the whole and each of the parts, are together equal to the square** on the whole line. Ioint C. conLet the straight line AB be divided into any two parts in the poi: Then... | |
| Euclides - 1864
...PROPOSITION II. THEOREM. If a straight line be divided into any two parts, the rectangles contain! 'I **by the whole and each of the parts, are together equal to the square** on I he whole line. oint C. at conLet the straight line AB be divided into any two parts in the poi... | |
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