 | Robert Simson - Trigonometry - 1762 - 466 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 - 520 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 - 159 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 - 550 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 - 351 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,... | |
 | Robert Simson - Trigonometry - 1806 - 518 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... | |
 | John Playfair - Euclid's Elements - 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... | |
 | Euclid - Geometry - 1810 - 518 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 - 722 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 - 528 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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