| Sir John Leslie - 1809 - 522 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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 páginas
...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... | |
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