 | Sir John Leslie - 1809 - 522 σελίδες
...line be drawn to cut the circumference, the angles which it makes with the tangent are equal to those in the alternate segments of the circle. from the point of contact cutting the circle into two segments BAE and BFE; the angle EBD is equal to EAB, and the angle EBC... | |
 | Pierce Morton - 1830 - 584 σελίδες
...extremity of a chord there be drawn a straight line, such that the angles which it makes with the chord are equal to the angles in the alternate segments of the circle, that straight line must touch the circle. Scholium. The theorem which has been just demonstrated, states... | |
 | Robert Simson - 1835 - 544 σελίδες
...straight line BD be drawn, cutting the circle : The angles which BD makes with the touching line EF are equal to the angles in the alternate segments of the circle ; that is, the angle FBD is equal to the angle which is in the segment DAB, and the angle DBE to the... | |
 | Euclid - 1835 - 540 σελίδες
...line is drawn cutting the circle, the angles made by this line with tJie line touching the circle, are equal to the angles in the alternate segments of the circle. Let the straight line EF touch the circle ABCD in B, and from the point B let the straight line BD... | |
 | 1835 - 684 σελίδες
...extremity of a chord there be drawn a straight line, such that the angles which it makes with the chord are equal to the angles in the alternate segments of the circle, that straight line must touch the circle. Scholium. The theorem which has been just demonstrated, states... | |
 | John Playfair - 1836 - 488 σελίδες
...straight line BD be drawn cutting the circle : The angles which BD makes with the touching line EF are equal to the angles in the alternate segments of the circle : that is, the angle FBD is equal to the angle which is in the segment DAB, and the angle DBE to the... | |
 | Euclides - 1840 - 82 σελίδες
...PROP. XXXII. THEOR. If a straight line touches a circle, and from the point of contact a straight line is drawn, cutting the circle, the angles made by this...the angles in the alternate segments of the circle. PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle containing an angle... | |
 | Euclid - 1853 - 176 σελίδες
...former angle is doable ' the latter. The angles formed by this line and the line touching the circle are equal to the angles in the alternate segments of the circle. III. 23. . Q. On Segments and their Chords. HYPOTHESES. CONSEQUENCES. If two segments of circles are... | |
 | Euclides - 1855 - 270 σελίδες
...contact a straight line bе drawn cutting the circle • the. angles which this straight line makes with the tangent are equal to the angles in the alternate segments of the circle. Let th2 straight line EF touch the circle AB СD at the point B ; and from the point B, let the straight... | |
 | Euclides - 1856 - 168 σελίδες
...straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, are equal to the angles in the alternate segments of the circle. Let the straight line EF (Pig. 54) touch the circle ABCD in the point B and let BD be a line dividing... | |
| |
If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments. 
