 | Euclides - 1864 - 262 pages
...into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclides - 1865 - 402 pages
...are likewise squares. Prop. 5. 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 noinls of section, is equal to the square of half the line. Cor. The difference of the squares of two... | |
 | Robert Potts - 1865 - 528 pages
...squares. PROPOSITION V. THEOREM. 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 on the line between the points of section, is equal to the square on half the line. Let the straight... | |
 | John Playfair - Geometry - 1855 - 358 pages
...; then, (u+4)1 PROP. V. THEOR. If a straight Itnelf divided into two equal parts, and also into two unequal parts } the rectangle contained by the unequal parts, together with the square of tAt line between the points of section, is equal to the square of half the line. Let the straight line... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : the rectangle AD,DB, together with the... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...into two unequal parts, the rectangle contained l)y the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts at the point C, and into... | |
 | 1868 - 344 pages
...If a straight line be divided into two equal parts, and also into two unequal parts, the rectal gle contained by the unequal parts, together with the...section, is equal to the square of half the line. Prove this also algebraically. rrove uu In any right angled triangle, the square of the side subtending... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...be divided into two equal parts, and aha into two unequal parts, the rectangle contained by the two unequal parts together with the square of the line between the points of division, will be equivalent to the square on one half the line. Let AB be a line bisected in (7, and... | |
 | Robert Potts - 1868 - 434 pages
...into two unequal parts ; the rectangle contained by the uneqital parts, together with, the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclides - 1870 - 270 pages
...st. line. Pst. 1. DEM. — 5. II. If a st. line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts together with the squai e of the line between the points of section, equals the square of half the line. Def. 15 and... | |
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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. 
