 | University of Oxford - Education, Higher - 1879 - 584 pages
...touching the circle shall be equal to the angles which are in the alternate segments of the circle. 4. The angles in the same segment of a circle are equal to one another. 5. If two circles touch one another internally, the straight line which joins their centres, being... | |
 | Joseph Wollman - 1879 - 120 pages
...in a circle from their middle points meet in a point, and this point is the centre of the circle. 3. The angles in the same segment of a circle are equal to one another. Given three points in the circumference of a circle, find a fourth. Let A, B, and C be the three given... | |
 | Edward Harri Mathews - 1879 - 94 pages
...corresponding angular points of the former -triangle will be bisected by the sides of the former. 3. The angles in the same segment of a circle are equal to one another. x The point, in which the external bisector of one angle of a triangle again cuts the circumscribed... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...rectangle contained by the whole line aud one of the parts may be equal to the square on the other part. 5. Angles in the same segment of a circle are equal to one another. Two circles are drawn intersecting in P and Q. The line joining their centres is drawn cutting the... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...be thus divided at H, and HL be taken in AH, equal to HB, show that AH is similarly divided at L. 5. The angles in the same segment of a circle are equal to one another. 6. If from a point without a circle there be drawn two straight lines, one of which cuts the circle,... | |
 | Thomas Minchin Goodeve - Machinery, Kinematics of - 1880 - 364 pages
...equal and opposite to the angular velocity of PB about B. Also since APB is a rigid angle, and since the angles in the same segment of a circle are equal to one another, we infer that the point P lies always in a circular arc passing through A and B. It will simplify the... | |
 | Education Ministry of - 1880 - 238 pages
...angles to the sides of any figure inscribed in a circle from their middle points meet in one point. 3. The angles in the same segment of a circle are equal to one another. Given three points in the circumference of a circle, required to find a fourth. ALGEBRA. The solution... | |
 | W. J. C. Miller - Mathematics - 1880 - 144 pages
...infinity corresponds to BC. Hence, if the points pde oo oo' correspond severally to PDEBC ; then, since angles in the same segment of a circle are equal to one another, therefore / dae = dpe = o> p<xj ' = 00 woo ' ; and, therefore, in the original or obverse figure, the... | |
 | Oxford univ, local exams - 1880 - 396 pages
...intercepted without the triangle, between the perpendicular and the obtuse angle. 2. Euclid III, IV, VI. 8. Angles in the same segment of a circle are equal to one another. 9. Define — .similar rectilineal figures, and reciprocal figures. If two triangles have one angle... | |
 | Mathematics - 1880 - 132 pages
...infinity corresponds to BC. Hence, if the points pde o> t»' correspond severally to PDEBC ; then, since angles in the same segment of a circle are equal to one another, therefore / dtae == dpe •= OO^ÏQO ' = oo cuoo ' ; and, therefore, in the original or obverse figure,... | |
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THE angles in the same segment of a circle are equal to one another... 
