 | Sandhurst roy. military coll - 1859 - 672 pages
...of each. Euclid. 1. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. 2. Describe a square equal to a given rectilineal figure. Give a construction for determining a square... | |
 | Education - 1859 - 414 pages
...into two equal parts and also into two unequal parts, the rectangle contained by the unequal paits, together with the square of the line between the points...section, is equal to the square of half the line. 10. Divide a straight line into two parts, so that the rectangle contained by the whole and one of... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...rectilineal angle. 8. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. 9. Describe a square that shall be equal to a given rectilineal fignre. 10. What does Euclid mean by... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...parts, together with the square on the line between the points of section, it equal to the square on half the line, Let the straight line AB be divided...point C, and into two unequal parts in the point D. Then the rectangle AD, DB, together with the square on CD, shall be equal to the square on CB. ACDB... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...be divided into two equal parts, and also into two unequal parts, the rectangle contained by the two unequal parts together with the square of the line between the points of division, will be equivalent to the square on one half the line. Let AB be a line bisected in C, and... | |
 | Euclides - 1860 - 288 pages
...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. Given the straight line AB, divided into two equal parts in the point C, and into... | |
 | War office - 1861 - 260 pages
...equal to one another. 2. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together...of section is equal to the square of half the line. State and explain Euclid's corollary to this proposition. 3. The angles in the same segment of a circle... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...also into two unequal parts, the rectangle contained by the unequal parts together with the square cf the line between the points of section is equal to the square of half the line. VOLUNTARY PORTION. 1. In a right angled triangle if a perpendicular be drawn from the right angle to... | |
 | Euclides - 1862 - 172 pages
...THEOREM. //' a straight line be divided into two equal parts, and also into two unequal parts ; then the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. (References — Prop. i. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB be divided into two... | |
 | Euclides - 1862 - 140 pages
...double of the square on half the line, and of the square on tht line between the points of section. equal parts in the point C, and into two unequal parts in the point D. Sequence. — The squares on AD and DB, shall be together double of the squares on AC and CD. Construction.... | |
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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. 
