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
| Isaac Sharpless - Geometry - 1879 - 266 pages
...right angle; wherefore the other, AD C, is greater than a right angle. Proposition 22. 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 ivhich touches... | |
| Euclides - Geometry - 1879 - 349 pages
...greater may be twice the part intercepted by the circumference of the less. PROPOSITION XXXII. THEOREM. **If a straight line touch a circle, and from the point of** contort 9 straight line be drawn cutting the circle, the angles made by this line iirith the line touching... | |
| Woolwich roy. military acad - 1880
...any point, the straight line which joins their centres shall pass through the point of contact. 7. **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... | |
| 1880
...circle at right angles to each other. Show that they are sides of a square inscribed in the circle. 3. **If a straight line touch a circle, and from the point of contact** a straight line be drawn cutting the circle, the angle which this line makes with the line touching... | |
| Elizabethan club - 1880
...rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 7. **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... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...therefore FC is perpendicular to DE. \VTierefore, 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 lie drawn at right angles to the touching line, the centre of the circle shall be in... | |
| Geometry - 1882 - 266 pages
...right angle; wherefore the other, ADC, is greater than a right angle. Proposition 22. 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 which touches... | |
| College of preceptors - 1882
...to the circumference, and prove that it is not equal to either of . these three straight lines. 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 straight line makes with the line... | |
| Mary W I. Shilleto
...intersect in E, the angles subtended by AC and BD at the centre are together double of the angle AEG. 2. **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... | |
| 1873
...circle at right angles to each other. Show that they are sides of a square inscribed in the circle. 3, **If a straight line touch a circle, and from the point of contact** a straight line be drawn cutting the circle, the angle which this line makes with the line touching... | |
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