| Henry Major - Student teachers - 1873 - 592 pages
...is equal to the same two ; and when the adjacent angles are equal, they are right angles. XXXII. — **If a straight line touch a circle, and from the point of contact a straight line** lie drawn meeting the circle, the angles which this line makes with the line touching the circle shall... | |
| Braithwaite Arnett - 1874 - 130 pages
...double of the square on half the line, and of the square on the line between the points of section. 4. **If a straight line touch a circle, and from the point...line, the centre of the circle shall be in that line.** Describe a circle of given radius which shall touch a given circle and a given straight line. 5. Resolve... | |
| Euclides - 1874 - 342 pages
...when the adjacent angles are equal, they are right angles (I. Def. 10). PROPOSITION 32. — Theorem. **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... | |
| 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... | |
| 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...straight line be drawn at right angles to the touching** liiie, the centre of the circle shall be in that line. Let the straight line DE touch the circle ABC... | |
| 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... | |
| Robert Potts - Geometry - 1876 - 446 pages
...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 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... | |
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