 | John Mason Good - 1819 - 800 pages
...line. , Prop. 1 1. Theor. If a straight line be divided into any two parts, the rectangles contained hy the whole and each of the parts, are together equal to the square of the whole line. Prop. HI. Theor. If a straight line be divided into any two parts, the rectangle contained by the «•hole... | |
 | John Playfair - 1819 - 354 pages
...twice the rectangle contained by the whole andfthat part, together with the square of the other part. i Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC, are equal to twice the rectangle AB.BC, together with the square of AC, or AB3+BC3=2AB.BC+AC3.... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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, CB, and to twice the rectangle contained by AC,... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...be two straight lines, &c. QED Proposition II. Theorem. If a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to_ the square of the whole line. Let the straight line AB be divided into any two parts in the point... | |
 | Euclides - 1826 - 226 pages
...of AB. If therefore a right line, &c. QED Deduction. If a right line be divided into any number of parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. The same by Algebra. Let a equal the line AB, and suppose it divided into any two parts e,f; then shall... | |
 | Euclid - 1826 - 234 pages
...of AB. If therefore a right line, &c. QED Deduction. If a right line be divided into any number of parts, the rectangles contained by the whole and each...are together equal to the square of the whole line. The same by Algebra, Let a equal the line AB, and suppose it divided into any two parts e,f; then shall... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...THEOR. If a straight line be divided into any two parts, the reetangles eontained by the whole and eaeh of the parts, are together equal to the square of the whole line. Let the straight line ABhe divided into any two parts in the point C ; the reetansilp AB BC, together with the reet- . „... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 shall be equal to the squares of AC, CB, together with twice the rectangle contained... | |
 | John Playfair - Geometry - 1829 - 210 pages
...lines. If a straight line be divided into any two parts, the two rectangles contained by the whole line and each of the parts are together equal to the square of the whole line. ..If a straight line be divided into any two parts, the rectangle contained by the whole line and one... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...if there be two straight lines, &c. QED PROP. II. THEOR. If a straight line be divided into any two parts, the rectangles contained by the whole and each...of the parts, are together equal to the square of tlte whole line. Let the straight line AB be divided into any two parts in the point C ; the rectangle... | |
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IF a straight line be divided into any two parts, the rectangles contained by the whole and each of the parts, are together equal to the square of the whole line. Let the straight line AB be divided... 
