| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 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... | |
| John Playfair - Euclid's Elements - 1806 - 311 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.... | |
| Euclid - Geometry - 1810 - 518 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, Olinthus Gilbert Gregory - 1813
...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 - Euclid's Elements - 1816 - 528 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 - 333 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 - 317 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 - 372 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 - 653 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 - Algebra - 1826 - 207 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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