 | Euclides - 1858 - 248 pages
...— 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 - Conic sections - 1858 - 256 pages
...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 - 672 pages
...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 - Geometry, Plane - 1860 - 380 pages
...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 - 714 pages
...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 - 140 pages
...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 - 172 pages
...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 - Education, Higher - 1863 - 316 pages
...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 - 262 pages
...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 - 448 pages
...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... | |
| |
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 of the whole line. Let the straight line AB be divided... 
