| Henry Green - 1870
...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 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... | |
| 1871
...straight line equal to a given rectilineal figure ? 4. 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.** 5. Draw a straight line to touch a given circle from a given point without it. Algebra. 1. Show, by... | |
| EDWARD RAVENSCROFT - 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
...is equal to the square on the perpendicular. SE 6 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. JD K. S. Let the... | |
| ...shall be double of the square on the other. 2. 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. Algebra. a'ly'z... | |
| Euclides, James Hamblin Smith - 1872 - 349 sider
...square on the perpendicular. 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 lection, is equal to the square on half the line. Let the st. line... | |
| Euclid, C. P. Mason - 1872
...the sum of the squares on the other two sides. (I. 47.) 2. That if a line be divided into two equal, **and also into two unequal parts, the rectangle contained by the unequal parts together with the square** on the part between the points of section is equal to the square on half the line. (II. 5.) Let A be... | |
| Henry Major - 1873
...diameter of it square, are likewise squares. ,7\ V. — 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. Let** AB be divided into two equal parts in the point C, and into two unequal parts in the point D : then... | |
| 1874
...MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. 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.** Illustrate the truth of this proposition by taking the whole straight line AB to be 12 feet, and the... | |
| 1874 - 13 sider
...any triangle are together equal to two right angles. 7. If a straight line be divided into two equal, **and also into two unequal parts, the rectangle contained...square of the line between the points of section,** shall be equal to the square of half the line. 8. Describe a square that shall be equal to a given... | |
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