 | 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... | |
 | 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... | |
 | 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 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.... | |
 | 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... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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 the circle shall... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...— To draw through a given point a chord of a given circle which bisected by a given straight line. PROPOSITION 32. THEOREM. If a straight line touch...circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle shall be... | |
 | John Fry Heather - Geometry, Modern - 1890 - 252 pages
...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 of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...and enunciation of tlioae propositions of Euc. Bk. III., in which this definition is made use of. 3. If a straight line touch a circle, and from the point of contact a straight line lie drawn cutting the circle, the angles which this line makes with the line touching the circle shall... | |
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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. 
