| Adrien Marie Legendre - Geometry - 1819 - 208 pages
...proportional sought. For the perpendicular GE, let fall from a point in the circumference upon the **diameter, is a mean proportional between the two segments of the diameter** DE, EF (215), and these two segments are equal to the two given lines A and B. PHOBLEM. 240. To divide... | |
| Adrien Marie Legendre - Geometry - 1825 - 280 pages
...proportional sought. For the perpendicular GE, let fall from the point in the circumference upon the **diameter, is a mean proportional between the two segments of the diameter** DE, EF (Wb), and these two segments are equal to the two given lines A and B. PROBLEM. 240. To divide... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...proportional sought. For the perpendicular GE, let fall from the point in the circumference upon the **diameter, is a mean proportional between the two segments of the diameter** DE, EF (21 5), and these two segments are equal to the two given lines A and B. PROBLEM. 240. To divide... | |
| James Hayward - Geometry - 1829 - 228 pages
...truths just proved ; (1). A perpendicular drawn from any point in the circumference of a circle to the **diameter, is a mean proportional between the two segments of the diameter;** (2). If, from the vertex of an angle inscribed in a semicircle a perpendicular be drawn to the diameter,... | |
| Adrien Marie Legendre - Geometry - 1841 - 235 pages
...proportional sought. For the perpendicular GE, let fall from the point in the circumference upon the **diameter, is a mean proportional between the two segments of the diameter** DE, EF (215), and these two segments are equal to the two given lines A and B. PROBLEM. 240. To divide... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...proportional required. For, the perpendicular EG,* let fall from a point in the circumference upon the **diameter, is a mean proportional between the two segments of the diameter** DEj EF (p. 23, C.) ; and these segments are equal to the given lines A and B, PROBLEM IV. To divide... | |
| Charles Davies - Geometry - 1854 - 436 pages
...proportional required. For, the perpendicular EG, let fall from a point in the circumference upon the **diameter, is a mean proportional between the two segments of the diameter** DS, EF (p. 23, c.) ; and these segments are equal to the given lines A and B, PROBLEM IV. To divide... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...diameter, is called an ordinate to this diameter. Hence, we have this condition : In a circle any ordinate **to a diameter is a mean proportional between the two segments of** this diameter. We can show that this property is one of the consequences of the properties of right-angled... | |
| Adrien Marie Legendre - Geometry - 1857 - 444 pages
...proportional required. For, the perpendicular EG, let fall from a point in the circumfereoce upon the **diameter, is a mean proportional between the two segments of the diameter** DE, EF (p. 23, C.) ; and these segments are equal to the given lines A and B, PROBLEM IV. To divide... | |
| Elias Loomis - Conic sections - 1857 - 242 pages
...proportional required. For the perpendicular BD, let fall from a point in the circumference upon the **diameter, is a mean proportional between the two segments of the diameter** AB, BC (Prop. XXII., Cor., B. IV.) ; and these segments are equal to the wo given lines. PROBLEM XX.... | |
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