 | Henry William Watson - 1871 - 320 pagina’s
...are equal in all respects, therefore DE is equal to DF, and ADE is equal to ADF. PROPOSITION 2I. If a straight line touch a circle and from the point of contact another straight line be drawn cutting the circle, the angles which the cutting line makes with the... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pagina’s
...normals to the circle at the points where they meet the circumference. PROPOSITION XIX. 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 must be in that line. Let the st. line... | |
 | Euclides - 1872 - 102 pagina’s
...touched by both lines lie in two lines at right angles to each other. PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be draicn at right angles to the touching line, the centre of the circle must be in that line. Let the... | |
 | Henry Major - 1873 - 588 pagina’s
...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... | |
 | Francis Cuthbertson - 1874 - 400 pagina’s
...(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 angles in the alternate segments... | |
 | Euclides - 1874 - 342 pagina’s
...5. FC is perpendicular to DE. Therefore, if a straight line, &c. QED 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... | |
 | Braithwaite Arnett - 1874 - 130 pagina’s
...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 of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line. Describe a circle... | |
 | Edward Atkins - 1874 - 426 pagina’s
...shown that no other straight *° ^^ but FC therefore FC PROPOS1110NS. 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... | |
 | Edward Atkins - 1874 - 428 pagina’s
...drawn from the point of contact B, cutting the circle. The angles which BD makes with the tangent EF shall be equal to the angles in the alternate segments of the circle; CONSTRUCTION. — From the point B draw BA at right angles to EF (I. 11). Take any point C in the circumference... | |
 | Euclides, James Hamblin Smith - 1876 - 376 pagina’s
...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 citcle must be equal to the angles, which are in the alternate segments of the circle.... | |
| |
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. 
