 | John Playfair - Mathematics - 1806 - 320 pages
...II. PROP. IX. THEOR. IF a straight line be divided into two equal, and also into two unequal parts, the squares of the two unequal parts are together...square of the line between the points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts.... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...QED PROP. IX. THEOR. IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together...square of the line between the points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts... | |
 | Euclid - Geometry - 1810 - 554 pages
...F PROP. IX. THEOR. IF a straight 'line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together...half the line, and of the square of the line between tlie points, of section. Let the straight line AB be divided at the point C into two equal, and at... | |
 | John Mason Good - 1813 - 714 pages
...be divided into two equal, and also into two unequal parts; the tqniMN of the two unequal parts arc together double of the square of half the line, and...square of the line between the points of section. Prop. X. Theor. If a straight line be bisected, and produced to any point, the square of tht; whole... | |
 | Euclides - 1816 - 588 pages
...R / PROP. IX. THEOR. IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together...square of the line between the points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts:... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...QED" PROP. IX. THEOR. If a straight line be divided into too equal, and also into tzeo unequal parts ; the squares of the two unequal parts are together...square of the line between the points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts... | |
 | John Playfair - 1819 - 354 pages
...PROP. IX. THEOR. 'If /a straight line be divided into two equal, and also into too untquai parts ; the squares of the two unequal parts are together double of the square of half the iinCi ahd of th-e square of the line between the points of section. • » v. Let the straight line... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...Proposition IX. Theorem, If a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together...square of the line between the points of section. Let the straight line AB be divided at the point С into two equal, »nd at D into two unequal parts... | |
 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...rectilinear angle. 2. If a straight Hue be divided into two equal, and also into two unequal, parts ; the squares of the two unequal parts are together...square of half the line, and of the square of the Une between the points of section. 3. If two straight lines within a circle cut one another, the rectangle... | |
 | George Lees - 1826 - 276 pages
...a straight line AB be divided into two equal parts AC, CB, and also into two unequal parts AD, DB ; the squares of the two unequal parts are together...square of half the line, and of the square of the tine CD, between the points of section. • . ; Or, AD2 + DB2 = 2AC2 .+ 2CD2. From the point C, draw... | |
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IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. 
