 The angle which an arc of a circle subtends at the centre is double that which it subtends at any point oil the remaining part of the circumference.  Calendar - Σελίδα 225των University of Allahabad - 1907Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Michel Chasles - 1837 - 564 σελίδες
...we may be permitted to add the following, which are derived from known properties of the circle. (1) The angle which an arc of a circle subtends at the centre is double ofthat which it subtends at any point in the remaining part of the circumference. Hence, If from two... | |
 | Michel Chasles - 1841 - 130 σελίδες
...we may be permitted to add the following, which are derived from known properties of the circle. (1) The angle which an arc of a circle subtends at the centre is double of that which it subtends at any point in the remaining part of the circumference. Hence, If from two... | |
 | Henry Martyn Taylor - 1893 - 486 σελίδες
...intercepted on it by two given circles are equal to two given straight lines. 15—2 220 PROPOSITION 20. The angle which an arc of a circle subtends at the centre is double of the angle which the arc subtends at the circumference. Let ABC be a circle, of which BC is an arc,... | |
 | 1894 - 788 σελίδες
...and least lines which can be drawn from that point to the circumference. 8. The angle which a chord of a circle subtends at the centre is double that which it subtends at any point on that part of the circumference which lies on the same side of it as the centre. 9. Show how to describe... | |
 | Henry Martyn Taylor - 1895 - 708 σελίδες
...intercepted on it by two given circles are equal to two given straight lines. 15—2 220 PROPOSITION 20. The angle which an arc of a circle subtends at the centre is double of the angle which the arc subtends at the circumference. Let ABC be a circle, of which BC is an arc,... | |
 | 1903 - 692 σελίδες
...are equal. Equal chords of a circle are equidistant from the centre ; and the converse. The tangent at any point of a circle and the radius through the...circle subtends at the centre is double that which it tends at any point on the remaining part of the circumference. Angles at the same segment of a circle... | |
 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 σελίδες
...assume that at a given point on a circle there is one tangent and one only. THEOREM 6. The tangent at any point of a circle and the radius through the point are perpendicular to one another. Data O is the centre of O ; A is a point on the circumference. To prove that the tangent at A is ±... | |
 | Walter Percy Workman - 1908 - 228 σελίδες
...(Euc. III. 11, I2) 244 CHAPTER XII.— THE CIRCLE: ANGULAR PROPERTIES. Angular Properties. AC. 1. — The angle which an arc of a circle subtends at the...that which it subtends at any point on the remaining arc of the circumference . . . (Euc. III. 2O) 254 AC. 2. — Angles in the same segment of a circle... | |
 | Great Britain. Education Department. Department of Science and Art - 1908 - 328 σελίδες
...to three times the given line diminished by v'S times the given line. (20) 22. Show that the tangent at any point of a circle and the radius through the point are perpendicular to one another. Draw two circles with their centres 3 inches apart, the radius of one being 1^ inches and of the other... | |
 | Alexander H. McDougall - 1910 - 316 σελίδες
...nearly ; 4, 8 cm.; 6, 5-3 cm nearly; 7, 32 mm. nearly ; 8, 1 cm. or 7 cm. ANGLES IN A CIRCLE THEOREM 6 The angle which an arc of a circle subtends at the centre is double the angle which it subtends at any point on the remaining part of the circumference. E Hypothesis.... | |
| |
