 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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 circle must be equal to the angles, which are in the alternate segments... | |
 | Euclides - 1874 - 342 pages
...than, and DAB greater than a semicircle. Then the angles which BD makes with the touching line EF, shall be equal to the angles in the alternate segments of the circle ; that is, the angle DBF shall be equal to the angle which is in the segment DAB, and the angle DBE... | |
 | Edward Atkins - 1874 - 428 pages
...drawn from the point of contact B, cutting the circle. The angles which BD makes with the tangent EF shall be equal to the angles in the alternate segments of the circle; CONSTRUCTION. — From the point B draw BA at right angles to EF (I. 11). Take any point C in the circumference... | |
 | Edward Atkins - 1874 - 426 pages
...Theorem. The angles contained by a tangent to a circle and a chord drawn from the point of contact are equal to the angles in the alternate segments of the circle. Let EF be a tangent to the circle ABCD, and BD a chord drawn from the point of contact B, cutting the circle.... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...; ANGLES IN CIRCLES. PROPOSITION XVII. 119 If a straight line touches 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 tangent shall be equal h the angles in the alternate segments... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...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 with the line touching the citcle must be equal to the angles, which are in the alternate segments of the circle.... | |
 | Education Department,London - 1876 - 1010 pages
...a straight line be drawn meeting the circle, the angle which this line makes with the line touching the circle shall be equal to the angles in the alternate segments of the circle. . АТС, AC are two equal chords of a circle at right angles to each other. Shew that they are sides... | |
 | Edward Atkins - 1876 - 130 pages
...drawn from the point of contact B, cutting the circle. The angles which BD makes with the tangent EF shall be equal to the angles in the alternate segments of the circle ; That is, the angle DBF shall be equal to the angle in the segment BAD, and the angle DBE shall bo... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...CEBTIFICATES, 1872. TIME— TWO AND A HALF HOUBS. 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 thin line makes with the lino touching the circle shall be equal to the angles which are in the... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...line be drawn cutting the circle, show that the angles which this line makes with the line touching the circle shall be equal to the angles in the alternate segments of the circle. Show how to inscribe an equilateral triangle in a given circle. (15.) 30. ABC is an isosceles triangle,... | |
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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 circle shall be equal to the angles which are in the alternate segments of the circle. 
