 | Edinburgh univ - 1871 - 392 sider
...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 sider
...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 sider
...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... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...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... | |
 | Euclid, Charles Peter Mason - 1872 - 216 sider
...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... | |
 | Henry Major - 1873 - 588 sider
...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 sider
...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... | |
 | Royal College of Surgeons of England - 1874 - 36 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... | |
 | Euclides - 1874 - 342 sider
...diameter of a square are likewise squares. PROPOSITION 5. — Theorem. 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. Let the straight... | |
 | Euclides - 1874 - 120 sider
...four times the square on half the line. PROPOSITION 5. 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 section, is equal to the square on half the line. * Let the straight... | |
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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 on the line between the points of section, is equal to the square on half the line. 
