 | Edinburgh univ - 1868 - 336 pàgines
...square of the other part. 5. The angles in the same segment of a circle are equal to one another. 6. If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles made by this line with the line which touches the circle shall be equal to the angles in the alternate... | |
 | Robert Potts - 1868 - 434 pàgines
...when the adjacent angles are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. 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... | |
 | Cambridge univ, exam. papers - 1870 - 272 pàgines
...the whole line thus produced, and the given line, may be equal to the square on the part produced. 3. If a straight line touch a circle, and from the point...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... | |
 | Edinburgh univ - 1871 - 392 pàgines
...which you appeal. tained by the whole and that part together with the square of the other part. 4. If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles made by this line with the line which touches the circle, are equal to the angles in the alternate... | |
 | Henry William Watson - 1871 - 320 pàgines
...triangles 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 pàgines
...are 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 pàgines
...circles 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 pàgines
...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... | |
 | Francis Cuthbertson - 1874 - 400 pàgines
...(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...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 of the circle.... | |
 | Euclides - 1874 - 342 pàgines
...is, 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... | |
| |
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. 
