| 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... | |
| Joseph Hughes - 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...line be drawn cutting the circle, the angles which** the line makes with the line touching the circle shall be equal to the angles which are in the alternate... | |
| Euclid, Isaac Todhunter - 1883 - 400 Seiten
...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 that line. Let the straight... | |
| Cambridge univ, exam. papers - 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...be drawn cutting the circle, the angles which this** line makes with the line touching the circle shall be equal to the angles which are in the alternate... | |
| 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 that line. 12. In a circle,... | |
| Canada. Department 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 the circle shall... | |
| 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 - 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...be drawn cutting the circle, the angles which this** line makes with the line touching the circle shall be equal to the angles which are in the alternate... | |
| John Fry Heather - 1890 - 172 Seiten
...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...be drawn cutting the circle, the angles which this** line makes with the line touching the circle shall be equal to the angles which are in the alternate... | |
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