| Robert Potts - 1864
...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... | |
| Alexander Kennedy Isbister - 1865
...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... | |
| Euclid, Isaac Todhunter - 1867 - 400 páginas
...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 - 1867 - 400 páginas
...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
...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 - 1868 - 262 páginas
...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 - 410 páginas
...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
...PROP. 5. — THEOR. If a st. line be divided into two equal parts, and also into two unequal parts, **the rectangle contained by the unequal parts together...section, is equal to the square of half the line.** CON.— 46. I., Pst. 1, and 31. I. DEM. — 43. I. The complements of the parallelograms about the... | |
| EDWARD RAVENSCROFT - 1871
...demonstration is required. 4. If a straight line be divided into two equal, and also into two unequal parts, **the rectangle contained by the unequal parts, together...section, is equal to the square of half the line.** Prove this also algebraically. 3. Prove Prop. 47, introducing in addition a variation in which one... | |
| 1871
...rectilineal figure ? 4. If a straight line be divided into two equal parts, and also into two unequal parts, **the rectangle contained by the unequal parts, together...section, is equal to the square of half the line.** 5. Draw a straight line to touch a given circle from a given point without it. Algebra. 1. Show, by... | |
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