 | 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 - 128 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... | |
 | 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
...circle. (Constr.) Therefore the point Q is on the (B) circle. Again, because BH is a tangent at H, the angle PHB is a right angle ; (Prop. 18.) therefore...to prove that the angle BDC is double of the angle BA C. First, (fig. 1) let the centre D lie on AB, one of the lines which contain the angle BAC. CONSTRUCTION.... | |
 | Dalhousie University - 1903 - 190 σελίδες
...must pass through the intersection of its diagonals. t 7. The angle which an arc of a circle sub ends at the centre is double of the angle which the arc subtends at the circumference. 8. If the squares on the sides of a quadrilateral be equal to the squares on the diagonals, it must... | |
 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 σελίδες
...ABC is produced, through the vertex A, to a point D. Prove that ^.DAC = 24.ABC.— 2^.ACB. THEOREM 8. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. fig. 241. fig. 242.... | |
 | 1903 - 692 σελίδες
...another. If two circles touch, the point of contact lies on the straight line through the centres. The angle which an arc of a 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... | |
 | University of Calcutta - 1907 - 458 σελίδες
...the circle. If two circles touch, the point of contact lies on the straight line through the centres. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. Angles in the same... | |
 | University of Allahabad - 1907 - 528 σελίδες
...another. If two circles touch, the point of contact lies on the straight line through the centres. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. Angles in the same... | |
 | University of Allahabad - 1908 - 568 σελίδες
...another. If two circles touch, the point of contact lies on the straight line through the centres. The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. Angles in the same... | |
| |
The angle which an arc of a circle subtends at the centre is double that which it subtends at any point on the remaining part of the circumference. 
