| Royal college of surgeons of England - 1860
...rectilineal angle. 8. 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.** 9. Describe a square that shall be equal to a given rectilineal fignre. 10. What does Euclid mean by... | |
| Robert Potts - 1860 - 361 páginas
...parts, together with the square on the line between the points of section, it equal to the square on **half the line, Let the straight line AB be divided...point C, and into two unequal parts in the point D.** Then the rectangle AD, DB, together with the square on CD, shall be equal to the square on CB. ACDB... | |
| Horatio Nelson Robinson - 1860 - 453 páginas
...be divided into two equal parts, and also 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 C, and... | |
| Euclides - 1860
...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. Given the straight line AB, divided into two equal parts in the point C, and into... | |
| War office - 1861
...equal to one another. 2. If a straight line be divided into two equal and also into two unequal parts, **the rectangle contained by the unequal parts together...of section is equal to the square of half the line.** State and explain Euclid's corollary to this proposition. 3. The angles in the same segment of a circle... | |
| Alexander Hadden Hutchinson - 1861
...also into two unequal parts, the rectangle contained by the unequal parts together with the square cf **the line between the points of section is equal to the square of half the line.** VOLUNTARY PORTION. 1. In a right angled triangle if a perpendicular be drawn from the right angle to... | |
| Euclides - 1862
...THEOREM. //' a straight line be divided into two equal parts, and also into two unequal parts ; then **the rectangle contained by the unequal parts, together...section, is equal to the square of half the line.** (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB be divided into two... | |
| Euclides - 1862
...double of the square on half the line, and of the square on tht line between the points of section. **equal parts in the point C, and into two unequal parts in the point D.** Sequence. — The squares on AD and DB, shall be together double of the squares on AC and CD. Construction.... | |
| 1864
...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. Hence show that a square is the greatest rectangle of given perimeter. 11. Describe... | |
| 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... | |
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