 | Euclides - 1870 - 270 sider
...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... | |
 | Edinburgh univ - 1871 - 392 sider
...complete demonstration is required. 4. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the...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... | |
 | Civil service - 1871 - 264 sider
...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 by the...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... | |
 | 1877 - 604 sider
...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 - 1871 - 136 sider
...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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...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, Charles Peter Mason - 1872 - 216 sider
...them in the enunciation. PBOPOSITION V. If a right 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. For the construction... | |
 | Henry Major - 1873 - 588 sider
...square, are likewise squares. ,7\ V. — If a straight line be divided into two equal, and also into two unequal parts ; the rectangle contained by the...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... | |
 | Braithwaite Arnett - 1874 - 130 sider
...(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 by the...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... | |
 | Royal College of Surgeons of England - 1874 - 36 sider
...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 by the...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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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 points of section, is equal to the square of half the line. 
