 | Education Ministry of - 1880 - 238 pages
...a straight line be drawn cutting 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. If a tangent be defined as the limiting position of a secant, show that the tangent to a circle is... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...F. The arc AF shall be treble the arc BE. 8. 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 touching the circle shall be equal to the angles which... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...[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 the circle shall be equal to the angles which are in the... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...part of this proposition. VS. OP. 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 which this straight line makes with the tangent are equal to the anyles in the alternate segments of... | |
 | Simon Newcomb - Geometry - 1881 - 418 pages
...let a tangent DAD' be drawn at one end of the chord AB, suppose A. 2. The angles BAD and BAD' will be equal to the angles in the alternate segments of the circle (§§ 234, 235). 3. Therefore the required circle will be one of which the tangent at A makes an angle... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...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,...this line with the line which touches the circle, will be equal to the angles in the alternate segments of the circle. Let the straight line EF touch... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...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 circle must be equal to the angles, which are in the alternate segments of the circle.... | |
 | Education Ministry of - 1882 - 300 pages
...point with the centre of the given circle. 12. 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... | |
 | College of preceptors - 1882 - 528 pages
...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 touching the circle shall be equal to the angles in the... | |
 | Education, Higher - 1882 - 498 pages
...from the opposite angle and the acute angle. 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 line makes with the line touching the circle shall be equal to the angles which are in the... | |
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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. 
