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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 277
by Thomas Malton - 1774 - 440 pages

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...

Elements of Geometry

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...

Elements of Geometry...: Translated from the French for the Use of the ...

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...

Elements of Geometry Upon the Inductive Method: To which is Added an ...

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,...

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...

Elements of Geometry and Trigonometry

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...

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

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...

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

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...