| Robert Simson - Trigonometry - 1762 - 488 pages
...a 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
...a 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,... | |
| Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...are at the oppofite Angles of the Parallelograms which make the Gnomon. Pl.zF14. 119. THEOREM i. If a **Line AB be divided into any two Parts in C, the Square** of the whole Line AB, viz. ABED, is equal to the Squares of the two Parts AC, CB, together with twice... | |
| Euclid - 1781 - 552 pages
...ftraight 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 - Mathematics - 1806 - 320 pages
...equal to the square of the straight line which is made up of the whole and the firstmentioned part. **Let the straight line AB be divided into any two parts in** the point C ; four times the rectangle AB.BC, together with the square of AC, are equal to the square... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...other part, is equal to the square of the straight line which is made up of the whole and that part. **Let the straight line AB be divided into any two parts in** the point C ; four times the rectangle AB, BC, together with the square of AC, is equal to the square... | |
| Euclid - Geometry - 1810 - 554 pages
...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...straight line AB be divided into any two parts in** Cj the square of AB is equal to the squares of AC, CB, and t» twice the rectangle contained by AC,... | |
| John Mason Good - 1813 - 714 pages
...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, and also into two unequal parts)... | |
| Euclides - 1816 - 588 pages
...other part, is equal to the square of the straight line, which is made up of the whole and that part. **Let the straight line AB be divided into any two parts in** the point C; four times the rectangle AB, BC, together with the square of AC, is equal to the square... | |
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