 | John Playfair - Mathematics - 1806 - 320 pages
...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 line AB be divided into any two parts in C ; the... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...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 line AB be divided into any two parts in C ; the... | |
 | John Mason Good - 1813 - 714 pages
...part. 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. Prop. V. Theor. If a straight line be divided into two equal parts,... | |
 | Euclides - 1816 - 588 pages
...QED PROP. IV. THEOR. Is 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 line AB be divided into any two parts in C; the... | |
 | John Playfair - 1819 - 354 pages
...ED PROP. IV. THEOR. If a straight line be divided into any tiio 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 line AB be divided into any two parts in C ; Uie... | |
 | John Mason Good - 1819 - 800 pages
...part. Prop. IV. Theor. If a straight line be divided into any two parts, the square of the whole line n equal to the squares of the two parts, together with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be dividid into two equal parts,... | |
 | Jeremiah Day - Algebra - 1820 - 352 pages
...proposition, (Euc. 4. 2.) that when a straight line is divided into two parts, the square of the whole line is equal to the squares of the two parts, together with twice the product of the parts, is demonstrated, by involving a binomial. Let the side of a square be represented by... | |
 | 1854 - 1112 pages
...Euclid tells us (II., 4), 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 ; and, were we to represent the line as a divided into two parts m,... | |
 | James Ryan - Algebra - 1824 - 550 pages
...of the rules to be pursued in order to pass from a number to its square. 105. From whence we infer that, if a number be divided into any two parts, the square of the numberis equal to the square of the two parts, together with twice the product of those parts. Which... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...of the rules to be pursued in order to pass from a number to its square. 105. From whence we infer that, if a number be divided into any two parts, the square of the number is equal to the square of the two parts, together with twice the product of those parts. Which... | |
| |
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. 
