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
| Sandhurst roy. military coll - 1859 - 1869 pages
...the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 4. **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... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. **If a straight line touch a circle, and from the point of contact** a ttraight line be drawn at right angles to the touching line, the center of the circle shall be in... | |
| Euclides - 1862
...; that Is, FC Is perpendicular to DE. Therefore, if a straight line, &c. QED PROP. XIX.— 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... | |
| Robert Potts - 1864
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. **If a straight line touch a circle, and from the point of contact** a straight line be drawn at right angles to the touch ing line, the center of the circle shall be in... | |
| Alexander Kennedy Isbister - 1865
...when the adjacent angles are equal, they are right angles, (i. def. 10.) PROP. XXXII. — THEOREM. **If a straight line touch a circle, and from the point of contact** a straight line be drawn cutting the circle; then the angles made by this line with the line touching... | |
| James Robert Christie - Mathematics - 1866 - 404 pages
...radius a, about its diameter. i • • J; >. , г.- •• . . - • I. GEOMETRY. > » •' *•"' 1. ' **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, && . 2. The sides about... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...therefore FC is perpendicular to DE. Wherefore, 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 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... | |
| 1868 - 410 pages
...when the adjacent angles are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. THEOREM. **If a, straight line touch a circle, and from the point of contact** a straight line be drawn meeting the circle ; the angles which this line makes with the line touching... | |
| 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... | |
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