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
| John Fry Heather - Geometry, Plane - 1890 - 172 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... | |
| Edward Mann Langley, W. Seys Phillips - Mathematics - 1890 - 515 pages
...given point a chord of a given circle which bisected by a given straight line. 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 made by this line with the line touching the... | |
| Randal Charles John Nixon - Geometry - 1890 - 400 pages
...As, v ABQP is a cyclic quad. A And it has been shown that PAB < rt. A . Proposition 32. THEOREM — **If a straight line touch a circle, and from the point of contact** a straight line is drawn dividing the circle into two segments, the angles made by this line with tlie... | |
| I. Hammond Morris - Mathematics - 1890 - 260 pages
...the point of contact is perpendicular to the line touching the circle.' Also the converse of this. ' **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... | |
| Queensland. Dept. of Public Instruction - Education - 1890
...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... | |
| 1891
...whether that angle be right, obtuse, or acute. (6) Prove the case in which the angle is obtuse. 3. (a) **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 touching the... | |
| Queensland. Dept. of Public Instruction - Education - 1892
...straight line which joins their centres, being produced, shall pass through tho point of contact. 3. **If a straight line touch a circle, and from the point of** 8 contact a chord be drawn, the angles which this chord makes with the tangent shall be equal to the... | |
| 1896
...thus produced and on the part produced may be equal to three times the square on the given line. 3. **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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