 | Education, Higher - 1882 - 498 pages
...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 the circle shall be equal... | |
 | 1883 - 248 pages
...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... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pages
...they meet the circumference. PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from ths point of contact a straight line be drawn at right...angles to the touching line, the centre of the circle must be in that line. Let the st. line DE touch the © ABC at the pt. C, and from C let CA be drawn... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...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 the circle shall be equal... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 432 pages
...when the adjacent angles are equal, they are right angles. [I. Definition 10. PROPOSITION 32. THEOREM. 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 the circle shall be equal... | |
 | 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 the circle shall be equal... | |
 | 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...line, the centre of the circle shall be in that line. 12. In a circle, the angle in a semi-circle is a right angle ; but the angle in a segment greater than... | |
 | 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 the circle shall... | |
 | 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... | |
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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 the circle, shall be equal to the angles which are in the alternate segments of the... 
