| Edinburgh univ - 1871 - عدد الصفحات: 392
...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 - عدد الصفحات: 136
...rectangle, contained by the segments of the base, is equal to the square on the perpendicular. SE 6 If a straight line be divided into two equal 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. JD K. S. Let the... | |
| 1877 - عدد الصفحات: 606
...line into two parts, so that the square on one part shall be double of the square on the other. 2. If a straight line be divided into two equal 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 - عدد الصفحات: 376
...contained by the segments of the base, is equal to the square on the perpendicular. PROPOSITION V. THEOREM. If a straight line be divided into two equal parts...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 - عدد الصفحات: 216
...and its parts answer to the description given of them in the enunciation. PBOPOSITION V. If a right line be divided into two equal parts, and also into...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 - عدد الصفحات: 580
...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 - عدد الصفحات: 130
...may be divided into triangles and its area found. MATHEMATICS. (GEOMETRY AND TRIGONOMETRY). 3 hrs. 1. If a straight line be divided into two equal 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... | |
| Edward Atkins - 1874 - عدد الصفحات: 426
...the parallelograms about the diameter of a square are likewise squares. Proposition 5. — Theorem. If a straight line be divided into two equal parts,...contained by the unequal parts, together with the square on the line between the pointg of section, is equal to the square on half the line. Let the straight... | |
| Euclides - 1874 - عدد الصفحات: 342
...the parallelograms about the diameter of a square are likewise squares. PROPOSITION 5. — Theorem. If a straight line be divided into two equal 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 - عدد الصفحات: 120
...square. 2. The square on a line is four times the square on half the line. PROPOSITION 5. THEOREM. If a straight line be divided into two equal 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... | |
| |