| Edward Albert Bowser - Geometry - 1890 - 420 pages
...line be divided into two equal and also into two unequal parts, the rectangle of the unequal parts **with the square on the line between the points of section, is equal to the square on half the line.** (Euclid, B. II, prop. 5). 49. The square on the straight line, drawn from the vertex of an isosceles... | |
| William Wynn Westcott - History - 1890 - 64 pages
...between the parts. All even numbers also (except the duad — two — which is simply two unities), may **be divided into two equal parts, and also into two unequal parts,** yet so that in neither division will either parity be mingled with imparity, nor imparity with parity... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...squares on the two parts, together with twice the rectangle contained by the two parts. 5. If a straight **line be divided into two equal parts, and also into...section, is equal to the square on half the line.** 6. If a straight line be bisected and produced to any point, the rectangle contained by the whole line... | |
| 1891 - 644 pages
...triangle is equal to the sum of the squares on the other two, the latter contain a right angle. 4. If a **line be divided into two equal parts, and also into...the unequal parts, together with the square on the** part between the points of section, is equal to the square on either of the equal parts. 5. If a line... | |
| James Blaikie - 1892 - 74 pages
...shall be equal to the square on the line made up of the whole and the first part. 9. If a straight **line be divided into two equal parts, and also into two unequal parts, the** sum of the squares on the two unequal parts shall be double the sum of the squares on half the line... | |
| Canada - 1893 - 1092 pages
...EXAMINATION FOR ADMISSION AS SUEVEYOR. I'LANE GEOMETRY AND MENSURATION. Time, 3 Hours. 1. If a straight **line be divided into two equal parts and also into...section, is equal to the square on half the line.** 2. The angles in the same segment of a circle are equal to one another. 3. Describe a circle about... | |
| Canada. Department of the Interior - 1893 - 1280 pages
...straight line be divided into two equal parts and also into two un equal parts, the rectangle contained 07 **the unequal parts, together with the square on the...section, is equal to the square on half the line.** 久 乱 生 6 The angles in the same segment of a circle are equal to one another. De8t 竹 b０ 其... | |
| Henry Martyn Taylor - 1893 - 486 pages
...of the rectangle AE, EB, or equal to the sum of the squares on AE, EB. PROPOSITION 5. If a straight **line be divided into two equal parts and also into two unequal parts, the** sum of the rectangle contained by the unequal parts and the square on the line between the points of... | |
| George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...parallelogram are equal to one another and the diagonal bisects the parallelogram. 4. If a straight **line be divided into two equal parts and also into...section, is equal to the square on half the line.** 5. To construct a square that shall be equal to a given rectilinear figure. For those offering Plane... | |
| 1894 - 278 pages
...of least perimeter that can be inscribed in a given triangle is the pedal triangle. 2. If a straight **line be divided into two equal parts and also into two unequal parts, the rectangle contained by the** two unequal parts, together with the square on the line between the points of section, is equal to... | |
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