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
| Robert Potts - Geometry - 1876 - 403 pages
...when the adjacent angles are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. THEOEEM. **If a straight line touch a circle, and from the point of contact** a straight line be drawn meeting the circle ; the angles which this line makes with the line touching... | |
| Education Department,London - 1876
...semicircle is a right angle. Construct a square equal to the difference of two given squares. • 2. **If a straight line touch a circle and from the point of contact** a straight line be drawn cutting the circle, the angle which mis line makes with the line touching... | |
| Edward Atkins - 1876
...F(J is perpendicular to DE. Therefore, if a straight line, &o. QED, Proposition 19.— Theorem. Jf **a straight line touch a circle, and from the point of contact** a straight line be drawn at right angles to the touching liiie, the centre of the circle shall be in... | |
| Great Britain. Education Department. Department of Science and Art - 1877
...from the centre. What is the locus of the middle points of all equal chords of a circle? (15.) 29. **If a straight line touch a circle, and from the point of contact** a straight line be drawn cutting the circle, show that the angles which this line makes with the line... | |
| Moffatt and Paige - 1879
...KAE is equal to the angle BAE (I. 8), and the two lines AK, AB, are equally inclined to AE. (QED) 12. **If a straight line touch a circle, and from the point of contact** a straight line be drawn cutting the circle, Hie angles which this line makes with the line touchiiig... | |
| Edward Harri Mathews - 1879
...circle at right angles to each other. Show that they are sides of a square inscribed in the circle. 3. **If a straight line touch a circle and from the point of contact** a straight line be drawn meeting the circle, the angle which this line makes with the line touching... | |
| Oxford univ, exam. papers, 1st publ. exam - 1879
...intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 10. **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... | |
| Joseph Wollman - 1879
...figure formed by joining the extremities of these four lines taken in order will be a rectangle. 3. **If a straight line touch a circle, and from the point of contact** a straight line be drawn meeting the circle, the angles which this line make with the line touching... | |
| Oxford univ, exam. papers, 2nd publ. exam - 1879
...equal circles, equal angles stand on equal arcs, whether they be at the centres or circumferences. 9. **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... | |
| Isaac Sharpless - Geometry - 1879 - 266 pages
...right angle; wherefore the other, AD C, is greater than a right angle. Proposition 22. Theorem.—If **a straight line touch a circle, and from the point of contact** a straight line be drawn cutting the circle, the angles made by this line with the line ivhich touches... | |
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