If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. The English Journal of Education - Page 2721851Full view - About this book
| John Playfair - 1836 - 114 pages
...about the diagonal of a square are likewise squares. / G H / CPROP. XXI. THEOR. If a straight line lie **divided into two equal parts, and also into two unequal...section, is equal to the square of half the line.** Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
| Euclid, James Thomson - 1837 - 390 pages
...line being bisected, the rectangle of the parts is equal to the square of one of them. PROP. V. THEOR. **IF a straight line be divided into two equal parts,...section, is equal to the square of half the line.** Let the straight line AB be bisected in C, and divided unequally in D : the rectangle AD.DB, together... | |
| Andrew Bell - 1837 - 240 pages
...square of AB is equal to the squares of AC, CB, and twice the rectangle AC-CB. PROPOSITION V. THEOREM. . **If a straight line be divided into two equal parts,...section, is equal to the square of half the line.** Let the straight line AB he divided into two equal parts in the point C, and into two unequal parts... | |
| John Playfair - 1837 - 318 pages
...(a+i)2 =a*+2a6+62. PROP. V. THEOR. If a straight line le divided into two equal parts, andalsointo **two unequal parts; the rectangle contained by the...section, is equal to the square of half the line.** Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
| Euclides - 1837 - 88 pages
...AC2 + CB2 + figs. AG + GE, and that these are = AC* + CB8 + 2 AC x CB. D H M PROPOSITION V. Theorem. **If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle** A contained by the unequal parts, I together with the square of the line between the points of section,... | |
| Euclides - 1838
...square on half the line. PROP. V THEOR. If a straight line be divided into two equal parts, and aim **into two unequal 'parts ; the rectangle contained...section, is equal to the square of half the line.** Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts... | |
| Euclid - 1838 - 416 pages
...demonstration it is manifest, that the parallelograms about the diameter of a square are likewise squares. **two unequal parts: the rectangle contained by the...section, is equal to the square of half the line.** • Let the straight line AH be divided into two equal parts in the point C, and into two unequal parts... | |
| Robert Simson (master of Colebrooke house acad, Islington.) - 1838
...square of the hypotenuse is equal to the sum of the squares of the other two sides. 14. If a right **line be divided into two equal parts, and also into two unequal parts,** what equations will result? 15. The base of a right-angled triangle is 300 feet, and the sum of the... | |
| Euclides - 1840
...half. PROP. V. THEOR. If a straight line (AB) be bisected (in c), and be also divided unequally (in D), **the rectangle contained by the unequal parts, together with the square of the** part intermediate between the points of section, is equal to the square of half the line. Upon AC describe... | |
| Euclides - 1840
...square of the half. PROP. V. THEOR. If a straight line be bisected, and be also divided unequally, **the rectangle contained by the unequal parts, together with the square of the** part intermediate between the points of section, is equal to the square of half the line. P E_ AD PROP.... | |
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