 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.  Calendar - Page 218by University of Allahabad - 1908Full view - About this book
 | Euclides - 1884 - 434 pages
...the two circles. Prove I BA C right. PROPOSITIOiSr 32. THEOREM. If a straight line be a tangent to a circle, and from the point of contact a chord be drawn, the angles which the chord makes with the tangent shall be equal to the angles in the alternate segments of the circle.... | |
 | University of Cambridge - 1884 - 624 pages
...that FG is equal to GB. 6. If two circles cut one another, they shall not have the same centre. 7. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching... | |
 | Dalhousie University - 1887 - 206 pages
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 11. Tf a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...externally, the straight line which joins their centres shall pass through the point of contact, 9. If a straight line touch a circle, and from the point of contact a straight line b« drawn cutting the circle, the angles which this line makes with the line touching... | |
 | Dalhousie University - 1888 - 212 pages
...tangent to a circle is at right angles to the radius drawn from the centre to its point of contact. 5. If a straight line touch a circle, and from the point of contact any chord of the circle be drawn, the angles between the chord and the tangent are equal to the angles... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...the angle A. Show that the construction is impossible unless 2C + A is less than a right angle. 7. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching... | |
 | Euclid - Geometry - 1890 - 442 pages
...As, v ABQP is a cyclic quad. A And it has been shown that PAB < rt. A . Proposition 32. THEOREM — If a straight line touch a circle, and from the point of contact a straight line is drawn dividing the circle into two segments, the angles made by this line with tlie... | |
 | Isaac Hammond Morris - Geometry, Plane - 1890 - 440 pages
...the point of contact is perpendicular to the line touching the circle.' Also the converse of this. ' If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that... | |
 | John Fry Heather - Geometry, Modern - 1890 - 252 pages
...Angles in the same segment of a circle are equal to one another. (Eu. III., 21.) 137. THEOR. 23. — If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching... | |
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