| Robert Simson - Trigonometry - 1762 - 488 pages
...ftraight line be divided into any two parts, the fquare of the whole line is equal to the fquafes of **the two parts, together with twice the rectangle contained by the parts. Let the** ftraight line AB be divided into any two parts in C ; the fquare of AB is equal to the fquares of AC,... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...flraight line be divided into any two parts, the fquare of the whole line is equal to the fquares of **the two parts, together with twice the rectangle contained by the parts. Let the** ftraight line AB be divided into any two parts in C; the fquare of AB is equal to the fquares of AC,... | |
| Euclid - 1781 - 552 pages
...line be divided into any two parts, the •*• fquare of the whole line is equal to the fquares of **the two parts, together with twice the rectangle contained by the parts. Let the** ftraight line AB be divided into any two parts in C i ike fquire of AB is equal to the fquares of AC,... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...ftraight line be divided into any two parts, the fquare of the whole line is equal to trie fquares of **the two parts, together with twice the rectangle contained by the parts. Let the** ftraight line AB be divided into any two parts in C ; the fquare of AB is equal to the fquares of AC,... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...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 square of AB is equal to the squares of AC,... | |
| John Mason Good - 1813 - 714 pages
...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, and also into two unequal parts)... | |
| Euclides - 1816 - 588 pages
...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 square of AB is equal to the squares of AC,... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...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 square of AB is equal to the squares of AC,... | |
| Adrien Marie Legendre - Geometry - 1822 - 394 pages
...E JJ 57 PROPOSITION XI. THEOREM. The square described on the hypotenuse of a right-angled triangle **is equivalent to the sum of the squares described on the two** sides. Let the triangle ABC be rightangled at A. Having formed squares on the three sides, let fall... | |
| 1854 - 1110 pages
...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, x, the algebraical expression for... | |
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