 | Euclides - 1870 - 270 sider
...completed. PROP. 5. — THEOR. If a st. line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts...section, is equal to the square of half the line. CON.— 46. I., Pst. 1, and 31. I. DEM. — 43. I. The complements of the parallelograms about the... | |
 | Civil service - 1871 - 264 sider
...rectilineal figure ? 4. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts,...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 - 392 sider
...demonstration is required. 4. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts,...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 - 136 sider
...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... | |
 | 1877 - 604 sider
...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... | |
 | Euclid, Charles Peter Mason - 1872 - 216 sider
...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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...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... | |
 | Henry Major - 1873 - 588 sider
...likewise squares. ,7\ V. — If a straight line be divided into two equal, and also into two unequal parts ; the rectangle contained by the unequal parts,...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
...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 unequal parts,...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
...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 unequal parts,...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. 
