| 1833
...subtending the right angle is equal to the squares described upon the sides containing the right angle. 4. **If a straight line be divided into any two parts, the rectangle contained** OCT. 1832— JAN. 1833. B by the whole and one of the parts is equal to the rectangle contained by... | |
| Euclid - 1835 - 513 páginas
...AB, BC, is equal to the square of AB. " If, therefore, a straight line," &c. QED PROP. III. THEOH. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** of the foresaid part. AC Let the straight line AB be divided into any two parts in the point C; the... | |
| Robert Simson - 1835 - 513 páginas
...AB, BC, is equal to the square of AB. " If, therefore, a straight line," &c. QED PROP. III. THEOR. . **If a straight line be divided into any two parts, the rectangle contained by the whole and one of** tJie parts, is equal to the rectangle contained by the two parts, together with the square of the foresaid... | |
| 1835
...each of the parts, shall be together equal to the square of the whole une. PROP. 31. (Eue. ii. 3.) **If a straight line be divided into any two parts, the rectangle contained by the whole** line and one of the parts, shall be equal to the rectangle contained by the two parts, together with... | |
| John Playfair - 1835 - 316 páginas
...therefore, multiplying both members of this equality by a, we shall have a'=ab+ad. PROP. III. THEOR. **If a straight line be divided into any two parts, the rectangle contained by** Ike whole and one of the parts, is equal to the rectangle contained by the two parts, together with... | |
| 1836 - 472 páginas
...contained by the whole and each of the parts, are together equal to the square of the whole line. III. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** of the foresaid part. IV. If a straight line be divided into any two parts, the square of the whole... | |
| Andrew Bell - 1837 - 240 páginas
...AB, AC, together with the rectangle AB-BC, is equal to the square of AB. PROPOSITION III. THEOREM. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** of the foresaid part. Let the straight line AB be divided into two parts in the point C ; the rectangle... | |
| Euclides - 1837 - 88 páginas
...showing that AB* = figures AF + CE ; and that these are = AB x AC + AB x BC. PROPOSITION III. Theorem. **If a straight line be divided into any two parts,...contained by the two parts, together with the square** of the aforesaid part. Proved by showing that AB x BC = figures AD + CE, and that these are = AC x... | |
| Euclid, James Thomson - 1837 - 390 páginas
...equal to the square of A B. In a manner similar to this, several of the following propositions nay be **IF a straight line be divided into any two parts,...by the whole and one of the parts, is equal to the** square of that part, together with the rectangle contained by the two parts. Let the straight line... | |
| Euclid, Robert Simson - 1838 - 416 páginas
...square of AB. If therefore a straight line, &c. Q^ ED PROP. III. THEOR. IF a straight line be diyided **into any two parts, the rectangle contained by the...contained by the two parts, together with the square** of the foresaid part. Let the straight line AB be divided into two parts in the point C ; the rectangle... | |
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