| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...manifest, that parallelograms about the diameter of a square. are likewise squares. PROPOSITION 5. THEOREM. **unequal parts, together with the square on the line...between the points of section, is equal to the square on** tuilf the line. Let the straight line AB be divided into two equal parts at the point C, and into two... | |
| Euclides, James Hamblin Smith - 1883 - 376 pages
...segments of the toe, is 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** rectanrjle contained by the unequal parts, together with the square on the line between the points... | |
| Woolwich roy. military acad - 1884 - 148 pages
...intersect at right angles to one another. 5. If a straight line be divided into two equal and also **two unequal parts, the rectangle contained by the...of section is equal to the square on half the line.** If of the two unequal parts one is three times the other, shew by means of the above proposition that... | |
| 1884 - 266 pages
...the three interior angles of every triangle'are together equal to two right angles. 3. If a straight **line be divided into two equal parts, and also into...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. 4. A segment of... | |
| Education - 1884 - 708 pages
...= AB = CF. Hence В is the middle point of DF, and С the middle point of EF. QEF 2. If a straight **line be divided into two equal parts, and also into two unequal parts,** together with the square on the line between the points of section, is equal to the square on half... | |
| Oxford univ, local exams - 1885 - 358 pages
...rectangle contained by the two parts, together with the square on the aforesaid part. 6. If a straight **line be divided into two equal parts and also into...section, is equal to the square on half the line.** 7. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have... | |
| United States. Congress. Senate - United States - 1880 - 1302 pages
...produced until EF=Eli, and <;D=I>C, show that the line (.'/•' pa>-« through A. '¿. If a straight **line be divided into two equal parts and also into...section, is equal to the square on half the line.** Prove that the area of a square is greater than the area of a rectangle of the same perimeter. 4. Describe... | |
| George Bruce Halsted - Geometry - 1885 - 389 pages
...into two unequal parts at D, and for BD put a, and for DC put b, we get the theorem : If a sect is **divided into two equal parts, and also into two unequal...square on the line between the points of section, is** equivalent to the square on half the sect. 297. If CD == b, and AC = a + b, then their sum AD = a +... | |
| Education - 1885 - 630 pages
...for •words may be ued.] Answer two Questions, including No. 3, if you can do so. \. If a straight **line be divided into two equal parts, and also into two unequal parts ; the rectangle** contain«! by the unequal parts, together with the square on the line between the points of section,... | |
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