 | George Albert Wentworth - 1889 - 276 pages
...of the legs are proportional to the adjacent segments; 159. Theorem. A perpendicular dropped from a point in the circumference of a circle to a diameter is a mean proportional between the segments of the diameter. 160. Theorem. A chord drawn from the end of a diameter is a mean proportional... | |
 | George Albert Wentworth - 1889 - 264 pages
...of the legs are proportional to the adjacent segments; 159. Theorem. A perpendicular dropped from a point in the circumference of a circle to a diameter is a mean proportional between the segments of the diameter. 160. Theorem. A chord drawn from the end of a diameter is a mean proportional... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...325. COR. 2. Since an angle inscribed in a semicircle is a right angle (240), therefore: (323) (1) The perpendicular from any point in the circumference of a circle to a diamter is a mean proportional between the segments of the - diameter. (2) The chord from the point... | |
 | Webster Wells - Geometry - 1894 - 394 pages
...inscribed in a semicircle is a right angle (§ 196), it follows that : If a perpendicular be drawn from any point in the circumference of a circle to a diameter, I. The perpendicular is a mean proportional between the segments of the diameter. II. The chord joining... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...QED 228. COR. Since an angle inscribed in a semicircle is a right angle (177), it follows that I. The perpendicular from any point in the circumference...circle to a diameter is a mean proportional between the segments of the diameter. II. The chord drawn from the point to either extremity of the diameter is... | |
 | Webster Wells - Geometry - 1898 - 264 pages
...inscribed in a semicircle is a right angle (§ 195), it follows that: If a perpendicular be draivn from any point in the circumference of a circle to a diameter, 2. The chord joining the point to either extremity of the diameter is a mean proportional between the... | |
 | Webster Wells - Geometry - 1899 - 424 pages
...inscribed in a semicircle is a right angle (§ 195), it follows that : If a perpendicular be drawn from any point in the circumference of a circle to a diameter, 2. The chord joining the point to either extremity of the diameter is a mean proportional between the... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...segments of any other chord drawn through that point. § 260. (4) A perpendicular drawn from any point of a circle to a diameter is a mean proportional between the segments into which it divides the diameter. § 256. (5) If two chords of a circle, when produced,... | |
 | James McMahon - Geometry, Plane - 1903 - 380 pages
...what ratio does the perpendicular divide the hypotenuse ? Ex. '3. A perpendicular drawn from any point of a circle to a diameter is a mean proportional between the segments of the diameter. Ex. 4. The radius of a circle is a mean proportional between the segments... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...EF parallel to BC. [§ 347.] PLANE GEOMETRY — BOOK III 747 The tangent and the perpendicular drawn from any point in the circumference of a circle to a diameter divide the diameter harmonically. 748 If two circles are tangent internally, all chords of the larger... | |
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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. 
