| Horatio Nelson Robinson - 1868 - 262 sider
...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... | |
| Euclides - 1870
...&c. Psts. 2 and 3 ; 3. I. 10. I. To bisect a given finite st. line. Pst. 1. DEM. — 5. II. If a st. **line be divided into two equal parts, and also into...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... | |
| Civil service - 1871
...rectangle always be described on a given straight line equal to a given rectilineal figure ? 4. If **a straight line be divided into two equal parts, and...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... | |
| Edinburgh univ - 1871
...of the other. A complete demonstration is required. 4. 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.** Prove this also algebraically. 3. Prove Prop. 47, introducing in addition a variation in which one... | |
| Euclides - 1871
...rectangle, contained by the segments of the base, is equal to the square on the perpendicular. SE 6 If **a straight line be divided into two equal parts and...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. JD K. S. Let the... | |
| 1877
...line into two parts, so that the square on one part shall be double of the square on the other. 2. If **a straight line be divided into two equal parts, and...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. Algebra. a'ly'z... | |
| Moffatt and Paige - 1879
...area of a triangle whose altitude is (a) units long, and whose base is (5) units long, is £ ab ? If **a straight line be divided into two equal parts, and...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. By the 41st proposition... | |
| Edward Harri Mathews - 1879
...angle is equal to the square described on the sides which contain the right angle. Section IV. 1. If **a straight line be divided into two equal parts and...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. Construct a rectangle... | |
| University of Oxford - 1879
...other angles shall be equal, each to each, namely those to which the equal sides are opposite. 3. If **a straight line be divided into two equal parts and...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. 4. The diameter... | |
| Euclides - 1879
...the line intercepted between the other equal angle and the perpendicular. PROPOSITION V. THEOREM. If **a straight line be divided into two equal parts, and...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 lint. Let AB be divided... | |
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