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" 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. "
A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ... - Page 285
by Thomas Malton - 1774 - 440 pages
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Elements of Geometry

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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 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...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 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...
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ELEMENTS OF GEOMETRY UPON THE INDUCTIVE METHOD.

JAMES HAYWARD - 1829
...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,...
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Elements of Geometry

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...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 432 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...
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PLANE AND SOLID GEOMETRY

GEORGE R. PERKINS - 1856
...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...
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Elements of Geometry and Trigonometry from the Works of A. M. Legendre ...

Adrien Marie Legendre - Geometry - 1857 - 448 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...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1857 - 226 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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