 | Euclid - 1810 - عدد الصفحات: 554
...rectangle AC, CB, together with the square of BC. If therefore a straight line, &c. QED PROP. IV. THEOR. IF a straight line be divided into any two parts, the...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,... | |
 | Charles Hutton - 1812 - عدد الصفحات: 620
...made up of the four figures, viz, the two squares AF,FD, and the two equal rectangles EF, FB. That is, the square of AB is equal to the squares of AC, CB, together with twice the rectangle of AC, CB. QED Corol. Htnct, if a line be divided into two equal... | |
 | John Mason Good - 1813 - عدد الصفحات: 714
...rectangle contained by the two parts, together with the aquarc of the foresaid part. Prop. IV. Theor. If a straight line be divided into any two parts, the...•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 - 1814 - عدد الصفحات: 560
...AC'. CB, together with the square of BC. If therefore u straight line, &c. QED PHOP. IV. THKOR. E IF a straight line be divided into any two parts, the...be divided into any two parts in C; the square of ABU equal to the squares of AC, CB, and to twice the rectangle contained by AC, CB. •46. 1. 'St.... | |
 | Jeremiah Day - 1814 - عدد الصفحات: 304
...than in ordinary language. The 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, togedier with twice die product of the parts, is demonstrated, by involving a binomial. Let the side... | |
 | John Playfair - 1819 - عدد الصفحات: 354
...if a straight If D -E line, &c. Q, ED PROP. IV. THEOR. If a straight line be divided into any tiio parts, the square, of the whole line is equal to the...straight line AB be divided into any two parts in C ; Uie square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC, CB,... | |
 | John Mason Good - 1819 - عدد الصفحات: 800
...rectangle contained by the two parts, together with tiie square of the furesaicl 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.... | |
 | John Playfair - 1819 - عدد الصفحات: 350
...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 C ; the rectangle AB.BC, together with the rect- » P "R angle AB.AC, is equal to the square... | |
 | Jeremiah Day - 1820 - عدد الصفحات: 352
...than in ordinary language. The proposition, (Euc. 4. 2.) that when a straight line is divided into two parts, the square of the whole line is equal to...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... | |
 | Euclides - 1821 - عدد الصفحات: 294
...are the given quantities : then 6 X 6 -f- 6 X 2 is = to 8 X 8 — 8 X 2. PROP. 4T THEQR. If a right line be divided into any two parts, the square of the whole line is equal to the sum of the squares of the parts and twice the rectangle under the parts On the given line describe... | |
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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. 
