 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 the circle, shall be equal to the angles which are in the alternate segments of the circle.  The Elements of Geometry, Symbolically Arranged - Page 79by Great Britain. Admiralty - 1846Full view - About this book
 | Āryabhaṭa - 1878 - 100 pages
...circle ; the angles •which this straight line makes with the line touching the circle shall be egual to the angles which are in the alternate segments of the circle. Lot the straight line EF touch the circle ABCD in B, and from the point B let the straight line BD... | |
 | 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...which are in the alternate segments of the circle. 10. If from any point without a circle there be drawn two straight lines, one of which cuts the circle,... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...sides is a right angle. 3. Describe a square that shall be equal to a given rectilineal figure. 4. If a straight line touch a circle, and from the point...be drawn cutting the circle, the angles which this straight line makes with the line touching the circle shall be equal to the angles which are in the... | |
 | Euclides, James Hamblin Smith - 1879 - 376 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...contact a straight line be drawn cutting the circle, the amjles nuule by this line with the line touching the circle must be equal to the angles, which are... | |
 | 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...straight line be drawn cutting the circle, the angles made by this line with the line ivhich touches the circle, will be equal to the angles in the alternate... | |
 | 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...contact a straight line be drawn cutting the circle, Hie angles which this line makes with the line touchiiig the circle shall be equal to the angles which... | |
 | 1879 - 636 pages
...it at right angles ; and if it cut it at right angles it shall bisect it. If a straight line touches 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 circle shall be equal to the angles which are in the alternate... | |
 | 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 circle shall be equal... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...at right angles ; and if it cut it at right angles it shall bisect it. 6. If a straight line touches 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 circle shall be equal to the angles which are in the alternate... | |
 | 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 circle shall be equal... | |
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