| Edward Atkins - 1874 - 428 pàgines
...perpendicular to DE, but FC; therefore FC is perpendicular to DE. PROPOSITIONS. Proposition 19.— Theorem. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Let the straight... | |
| Bombay city, univ - 1874 - 648 pàgines
...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... | |
| Euclides, James Hamblin SMITH - 1876 - 382 pàgines
...points of intersection in each circle with its centre, will all be parallel. PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from the point...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 Department,London - 1876 - 1010 pàgines
...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 makes with the line touching the circle shall be equal... | |
| Edward Atkins - 1876 - 130 pàgines
...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... | |
| Robert Potts - 1876 - 446 pàgines
...is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED • PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line ba drawn at right angles to the touching line, the center of the circle ihali be in that line. Let... | |
| Richard Wormell - 1876 - 268 pàgines
...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 pàgines
...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...contact a straight 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... | |
| Isaac Sharpless - 1879 - 282 pàgines
...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...circle, the angles made by this line with the line ivhich touches the circle, will be equal to the angles in the alternate segments of the circle. Let... | |
| Great Britain. Parliament. House of Commons - 1879 - 632 pàgines
...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...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.... | |
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