 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.  Calendar - Page 218by University of Allahabad - 1908Full view - About this book
 | Moffatt and Paige - 1879 - 378 pages
...KAE is equal to the angle BAE (I. 8), and the two lines AK, AB, are equally inclined to AE. (QED) 12. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, Hie angles which this line makes with the line touchiiig... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle. 10. 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... | |
 | University of Oxford - Education, Higher - 1879 - 584 pages
...equal circles, equal angles stand on equal arcs, whether they be at the centres or circumferences. 9. 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 Harri Mathews - 1879 - 94 pages
...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 meeting the circle, the angle which this line makes with the line touching the... | |
 | Joseph Wollman - 1879 - 120 pages
...figure formed by joining the extremities of these four lines taken in order will be a rectangle. 3. 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 make with the line touching the... | |
 | Isaac Sharpless - Geometry - 1879 - 282 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... | |
 | James Hamblin Smith - Euclid's Elements - 1879 - 378 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 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... | |
 | Elizabethan club - 1880 - 156 pages
...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... | |
 | Education Ministry of - 1880 - 238 pages
...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 the... | |
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