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
| frank smith - 1868
...square of the other part. 5. The angles in the same segment of a circle are equal to one another. 6. **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 which touches... | |
| 1870
...the whole line thus produced, and the given line, may be equal to the square on the part produced. 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... | |
| Henry William Watson - Geometry - 1871 - 285 pages
...triangles are equal in all respects, therefore DE is equal to DF, and ADE is equal to ADF. PROPOSITION 2I. **If a straight line touch a circle and from the point of contact** another straight line be drawn cutting the circle, the angles which the cutting line makes with the... | |
| EDWARD RAVENSCROFT - 1871
...which you appeal. tained by the whole and that part together with the square of the other part. 4. **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 which touches... | |
| Euclides - 1872
...circles touched by both lines lie in two lines at right angles to each other. PROPOSITION XIX. THEOREM. **If a straight line touch a circle, and from the point of contact** a straight line be draicn at right angles to the touching line, the centre of the circle must be in... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...points of intersection in each circle with its centre, will all be parallel. PROPOSITION XXXII. 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 urith the line touching the... | |
| Student teachers - 1873
...straight line from, F is perpendicular to DE, but FC ; therefore FC is perpendicular to DE. XIX. — **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... | |
| 1874
...perpendicular to DE, but FC; therefore FC is perpendicular to DE. PROPOSITIONS. 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... | |
| James Martin (of the Wedgwood inst, Burslem) - 1874
...is, 5. FC is perpendicular to DE. Therefore, if a straight line, &c. QED 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... | |
| 1874
...double of the square on half the line, and of the square on the line between the points of section. 4. **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... | |
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