| Charles Reiner - 1837 - 246 páginas
...contained by ac and c b. M.- — Express this truth as a general proposition. P. — 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 contained by the parts. The master will,... | |
| Andrew Bell - 1837 - 240 páginas
...the rectangle AC • CB, together with the square of BC. PROPOSITION TV. THEOREM. 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 contained by the parts. Let the straight... | |
| Euclid - 1837 - 410 páginas
...of BC, together with the rectangle AC.CB. * If, therefore, &c. PROP. IV. THEOR. 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 their rectangle, t Let the straight line AB be divided... | |
| Euclides - 1837 - 112 páginas
...= figures AD + CE, and that these are = AC x CB + CB*. PROPOSITION IV. Theorem. 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 contained by the parts. * By the rectangle... | |
| Euclides - 1840 - 82 páginas
...square of that part, together with the rectangle under the parts. PROP. IV. THEOR. If a straight line **be divided into any two parts, the square of the whole line is equal to the** squares of the parts, together with twice the rectangle contained by the parts. COR.—Thus it appears... | |
| Great Britain. Committee on Education - 1853
...triangle, and have one of its angles equal to a given rectilineal angle. Sec/ion 2. 1. 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 contained by the parts. 2. If a straight... | |
| Euclides - 1840 - 192 páginas
...the divided line. PROP. II. THEOR. If a straight line (AB) be divided into any two parts (AF, FB), **the square of the whole line is equal to the sum of the** rectangles contained by the whole line and each of its parts. On AB describe the square ACDB a Prop.... | |
| Euclides - 1841 - 378 páginas
...together with the square of BC. If therefore a straight, &c. QED PROP. IV. THEOR. 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 contained by the parts. Let the straight... | |
| John M'Nevin - 1841 - 280 páginas
...10 = 20+ 2 = 2 tens and 2 over. Hence, from the properties of Euclid. 4, Lib. 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 parts, together with twice the rectangle contained by the parts." Thus, let AB be... | |
| John M'Nevin - 1841 - 280 páginas
...10= 20 + 2 = 2 tens and 2 over. Hence, from the properties of Euclid. 4, Lib. 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 parts, together with twice the rectangle contained by the parts." Thus, let AB be... | |
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