| Euclides - 1858
...bisect a given finite 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...the square of the line between the points of section** equals the square of half the line. Def. 15 and 16. A circle is a plane figure contained by one line... | |
| Sandhurst roy. military coll - 1859 - 1869 sider
...income, and what the expenditure of each. Euclid. 1. If a straight line be divided into two equal, **and also into two unequal parts, the rectangle contained...section, is equal to the square of half the line.** 2. Describe a square equal to a given rectilineal figure. Give a construction for determining a square... | |
| E. D. Bourdillon - 1859
...a line drawn through a given point within the figure. 9. If a line be divided into two equal parts **and also into two unequal parts, the rectangle contained by the unequal** paits, together with the square of the line between the points of section, is equal to the square of... | |
| Royal college of surgeons of England - 1860
...its angles equal to a given rectilineal angle. 8. If a straight line be divided into two equal parts, **and also into two unequal parts, the rectangle contained...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... | |
| Euclides - 1860
...likewise squares. PROPOSITION V. THEOREM. -;I| 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. Given the straight... | |
| Robert Potts - 1860 - 361 sider
...squares. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts, and also into tteo **unequal parts ; the rectangle contained by the unequal 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... | |
| Horatio Nelson Robinson - 1860 - 453 sider
...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... | |
| War office - 1861
...between the same parallels are equal to one another. 2. If a straight line be divided into two equal **and also into two unequal parts, the rectangle contained...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
...described upon the sides which contain the right angle. 2. If a straight line be divided into two equal **and 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.... | |
| 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... | |
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