 | Euclid - Geometry - 1838 - 470 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 unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. • Let... | |
 | Euclides - Geometry - 1841 - 378 pages
...are likewise squares. PROP. V. THEOR. If a straight fine 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. Let the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...and b; then, (a-\-b)2 PROP. V. THEOR. If a straight line lie 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. Let the... | |
 | Euclides - 1842 - 316 pages
...are likewise squares. PROP. V. THEOR. 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 equivalent to the square of half the line. Let... | |
 | Education - 1844 - 688 pages
...parallelogram shall be double of the triangle. 6. 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. 7. In obtuse... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...square of one of them. PROP. V. THEOR. — 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. Let the... | |
 | Euclides - 1845 - 546 pages
...squares. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts, and also into Iwo 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. Let the... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...(a+by=a8+2ab+b8. PROP. XLIV. THEOR. 5. 2 Eu. 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 whole line. Let... | |
 | Euclides - 1846 - 292 pages
...square are likewise squares. PROP. V. THEOR. If a straight Kne 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. Let the... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...(a+b)*—a*-\-2ab + b*. PROP. XLIV. THEOR. 5 . 2 EU. 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 whole line. Let... | |
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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. 
