 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...(111.15) but L ABP is < a right / ; 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... | |
 | Bombay city, univ - 1874 - 648 pages
...meeting in F the lino CF which bisects the angle between CD and BC produced : prove that AE = EF. 3. If a straight line touch a circle and from the point of 8 contact a straight line bo drawn cutting the circle, the angles which this line makes with the line... | |
 | Education Department,London - 1876 - 1010 pages
...semicircle is a right angle. Construct a square equal to the difference of two given squares. • 2. If a straight line touch a circle and from the point of contact a straight line be drawn cutting the circle, the angle which mis line makes with the line touching the circle shall be equal... | |
 | Edward Atkins - 1876 - 130 pages
...F(J is perpendicular to DE. Therefore, if a straight line, &o. QED, Proposition 19.— Theorem. Jf a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching liiie, the centre of the circle shall be in that line. Let the straight... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...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. Let the st. line AB touch the © CDEF in F. Draw the chord FD, dividing the © into segments FCD, FED. Then... | |
 | Richard Wormell - 1876 - 268 pages
...it touches it internally or externally. .. .. .. .. .. ..116 19. If a straight line be a tangent to a circle, and from the point of contact a straight line be drawn perpendicular to the tangent, the centre of the circle shall be in that line. .. .. .. .. .. .. 116... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...from the centre. What is the locus of the middle points of all equal chords of a circle? (15.) 29. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, show that the angles which this line makes with the line touching the circle shall... | |
 | Āryabhaṭa - 1878 - 100 pages
...the sides of the polygon (P. 40). PROP. XLII. THEOREM. If a straight line touch a circle, and froni the point of contact a straight line be drawn meeting the circle ; the angles •which this straight line makes with the line touching the circle shall be egual to the angles which are in 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...drawn meeting the circle, the angles which this line make with the line touching the circle shall be equal to the angles in the alternate segments of the... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1879 - 632 pages
...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...which are in the alternate segments of the circle. 7. If a circle be described on the radius of another circle's diameter, any chord of the outer circle... | |
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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 which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the... 
