 | Robert Potts - 1868 - 434 σελίδες
...into two unequal parts ; the rectangle contained by the uneqital parts, together with, the square on the line between the points of section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into... | |
 | Euclides - 1870 - 270 σελίδες
...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 two unequal parts,...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 - 264 σελίδες
...on a given 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,...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 σελίδες
...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 - 136 σελίδες
...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 also into two unequal parts, the...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 σελίδες
...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 also into two unequal parts,...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 σελίδες
...to the description given of them in the enunciation. PBOPOSITION V. If a right line be divided into two equal parts, and also into two unequal parts,...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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 σελίδες
...equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the...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 σελίδες
...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... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...area found. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal parts, and also into two 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... | |
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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. 
