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
| 1883
...semicircle is less than a right angle, and the angle in a semicircle is a right angle. 8. Prove that, **if a straight line touch a circle and from the point of contact** another straight line be drawn to cut the circle, the angles which this line makes with the former... | |
| Education, Higher - 1882
...intercepted between the perpendicular let fall on it from the opposite angle and the acute 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... | |
| Joseph Hughes - Education - 1883
...angle EDG, .'.(I. 26) the angle GEA= the angle FEA. And CE, EA = BE, EA .-.CAE = BAE (I. 4). Q- E- D12. **If a straight line touch a circle and from the point of contact** a straight line be drawn cutting the circle, the angles which the line makes with the line touching... | |
| Euclid's Elements - 1883 - 400 pages
...perpendicular to DE, but FC; therefore FC is perpendicular to DE. EUCLID'S ELEMENTS. PROPOSITION 19. THEOREM. **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... | |
| 1884
...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
...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... | |
| Canada. Dept. of the Interior - 1888
...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
...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
...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... | |
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