| Isaac Newton Failor - Geometry - 1906 - 440 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... | |
| Webster Wells - Geometry - 1908 - 336 pages
...inscribed in a semicircle is a right angle (§ 194), it follows that : If a perpendicular be drawn from any point in the circumference of a circle to a diameter, 1. The perpendicular is a mean proportional between the segments of the diameter. 2. The chord joining... | |
| Webster Wells - Geometry, Plane - 1908 - 206 pages
...inscribed in a semicircle is a right angle (§ 194), it follows that : If a perpendicular be drawn from any point in the circumference of a circle to a diameter, 1. The perpendicular is a mean proportional between the segments of the diameter. 2. The chord joining... | |
| William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...hypotenuse divides a right triangle into two similar triangles. 383. COB. 3. If a perpendicular be drawn from any point in the circumference of a circle to a diameter, II. The chord from that point to either extremity of the diameter is the mean proportional between... | |
| Frederick Charles Kent - Algebra - 1913 - 292 pages
...triangles as in Fig. 51? 16. In a circle the perpendicular from any point in the circumference to the diameter is a mean proportional between the two segments of the diameter. In Fig. 52 DC is perpendicular to AB and meets AB in C which is 4 units from A and 16 units from B.... | |
| Claude Irwin Palmer, William Charles Krathwohl - Geometry, Analytic - 1921 - 374 pages
...chord be (r, 0) and (6, c). 42. Prove analytically that the length of a perpendicular from any point on the circumference of a circle to a diameter, is a mean proportional between the segments into which it divides the diameter. 43. Prove that the length of the tangent from the point... | |
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