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. Books 3-9 - Page 65by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclid
...from the point of contact at right angles to the tangent passes through the centre. PROPOSITION 19. **If a straight line touch a circle, and from the point of contact** a straight line be drawn at right angles to the tangent, the centre of the circle will be on the straight... | |
| New Zealand University - 1904
...The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse. **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... | |
| University of Cambridge, Sir Thomas Gery Cullum - 1853
...BF in L, prove that CL is perpendicular to Bt and is divided by SE similarly to the given line. 4. **If a straight line touch a circle, and from the point of contact** straight line be drawn cutting the circle, the angles made by this line wit the line touching the circle... | |
| British Columbia. Superintendent of Education - 1897
...can be drawn only two equal straight lines to the circumference, one on each side of the diameter. 5. **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... | |
| Education Department - 1879
...equal to the angle at the circumference of the other if the angles are subtended by equal arcs. 6. **If a straight line touch a circle and from the point of contact** a straight line be drawn cutting a circle, the angle which this line makes with the line touching the... | |
| ...190 To construct a triangle with given base, given altitude, and gIven vertical angle 191 THEOREM 14 **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... | |
| ...Zs. MISCELLANEOUS PROBLEMS ON CIRCLES But LADB=LBAT. .-. Z BATi=LAEB in the alternate segment. Learn: **If a straight line touch a circle, and from the point of contact** a chord be drawn, the angles made by the chord with the tangent are equal to the angles in the alternate... | |
| University of Cambridge, Sir Thomas Gery Cullum - 1906
...The opposite angles of any quadrilateral inscribed in a circle are supplementary ; and the converse. **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... | |
| University of Bombay - 1907
...The opposite angles of any quadrilateral inscribed in aa circle are supplementary ; and the converse. **If a straight line touch a circle, and from the point of contact** a chord be drawn, the .ingles which this chord makes with the tangent are equal to the angles in the... | |
| ...hypotenuse of a rightangled triangle as diameter passes through the opposite vertex 96 PAGE THEOREM 51. **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... | |
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