 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.  Bulletin - Page 2331917Full view - About this book
 | Euclid - Geometry - 1776 - 326 pages
...and from the point of contact a right •*• line be drawn to the circle, the angles that right line makes with the tangent are equal to the angles in the alternate feements of the circle. Let the right line EF touch the circle ABCD in the point B; from any point... | |
 | Euclides - 1840 - 192 pages
...contact (A) a straight line (AB) is drawn, cutting the circle, the angles made by this cutting line with the tangent are equal to the angles in the alternate segments of the circle. From the point of contact A draw AC perpendicular to EF, and join CB; in the segment... | |
 | Euclides - 1840 - 82 pages
...point of contact a straight line is drawn, cutting the circle, the angles made by this cutting line with the tangent are equal to 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... | |
 | Euclides - 1855 - 270 pages
...point of 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... | |
 | Richard Townsend - Geometry, Plane - 1863 - 748 pages
...is perpendicular to the tangent XY. Ex. 3°. At every point on a circle the angles made by any chord with the tangent are equal to the angles in the alternate segments, (Euc. III. 32). Let P be the point, PR the chord, XY any line passing through P, Q the other point... | |
 | Edinburgh univ - 1871 - 392 pages
...from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the tangent are equal to the angles in the alternate segments of the circle. 4. To describe an isosceles triangle having each of the angles at the base double the... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...shall pass through tho point of contact. 3. If a straight line touch a circle, and from the point of 8 contact a chord be drawn, the angles which this chord makes with the tangent shall be equal to the angles in the alternate segments of tho circle. 4. To inscribe a regular pentagon... | |
 | Rupert Deakin - 1897 - 344 pages
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 | 1898 - 830 pages
...it. 2. If a chord of a circle be drawn from the point of contact of a tangent, the angles which the chord makes with the tangent are equal to the angles in the alternate segments respectively. Prove this in two ways 3. ABC is any triangle, and perpendiculars BE and CD are drawn... | |
 | Education - 1901 - 548 pages
...and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the tangent are equal to the angles in the alternate segments of the circle. (6) Inscribe a regular hexagon in a given circle. B. (7) ABCD, AB'C'D' are parallelograms... | |
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