| 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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