| John Playfair - 1847 - 317 sider
...the rectangle contained by the whole and that part, together with the square of the other part. L et **the straight line AB be divided into any two parts in the point C ; the** squares of AB, BC, ar.e equal to twice the rectangle AB.BC, together with the square of AC, or AB2+BC2... | |
| Euclides - 1848
...the several parts of the divided line. PROP. II. THEOREM. If a straight line be divided into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** PROP. III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the... | |
| John Playfair - 1849 - 317 sider
...c, and d; then, A(b-\-c+d)=Ab-{-Ac+Ad. PROP. II. THEOR. If a straight line be divided into any two **parts, the rectangles contained by the whole and each,...line. Let the straight line AB be divided into any** AQ TS two parts in the point C ; the rectangle AB.BC, — together with the rectangle AB.AC, is equal... | |
| Elias Loomis - 1849 - 226 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... | |
| Euclid, Thomas Tate - 1849 - 108 sider
...equal (i. 5.) to the angle ABD, because BA is equal to AD, being aides of a square; wherefore the angle **Let the straight line AB be divided into any two parts in** c; the square of AB is equal to the squares of AC, CB, together with twice the rectangle contained... | |
| Great Britain. Committee on Education - 1850
...contained by those two sides is a right angle. Section 2. 1. If a right line be divided into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** 2. If a right line be divided into any two parte, the squares of the whole 1 ine and one of the parts,... | |
| 1850
...contained by these two sides is a right angle. SECTION III. 1. If a straight line be divided into any two **parts, the rectangles contained by the whole and each...are together equal to the square of the whole line.** 3. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite... | |
| 1851
...of its angles equal to a given angle, 8. If a straight line be divided into any two parts, — 12 C **the rectangles contained by the whole and each of...are together equal to the square of the whole line,** ...'.. 4. Illustrate by a diagram the multiplication of 10 1 8 feet 5 inches by 4 feet 7 inches, and... | |
| Euclides - 1852
...is equal 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 of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC,... | |
| Euclides - 1853
...into any two parts : then the rectangles contained by the whole line and each of the parts shall be **together equal to the square of the whole line. Let...straight line AB "be divided into any two parts in** c. Then the rectangle contained by AB, BC together with that contained by AB, AC shall be equal to... | |
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