 | Euclides - 1865 - 402 pàgines
...that is, FC is perpendicular to DE. Therefore, if a straight line, &e. QED PROP. 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 shall be in that line. (References —... | |
 | James Robert Christie - 1866 - 428 pàgines
...a, about its diameter. i • • J; >. , г.- •• . . - • I. GEOMETRY. > » •' *•"' 1. ' If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles which this line makes, && . 2. The sides about the equal angles of equiangular triangles are proportionals;... | |
 | Great Britain. Parliament. House of Commons - 1866 - 862 pàgines
...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 in the alternate segments of the circle. If two circles touch each other, and parallel diameters be drawn, the straight line joining the opposite... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pàgines
...FC is perpendicular to DE. Wherefore, if a straight line &c. PROPOSITION 19. THEOREM. If a ttraight 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... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...adjacent angles are equal, they are right angles. * [I. Definition 10. PROPOSITION 32. THEOREM. If a straight line touch a circle, and from the point of contact a straight line lie drawn cutting the circle, the angles which this line makes with the line touching the circle shall... | |
 | Edinburgh univ - 1868 - 336 pàgines
...rectangle contained by the whole line and that part, together with the square of the other part. 6. If a straight line touch a circle, and from the point...by this line with the line which touches the circle are equal to the angles in the alternate segments of the circle. 7. If two straight lines cut one another... | |
 | Robert Potts - 1868 - 434 pàgines
...it may be shewn, that no other line is perpendicular to DE besides FC, 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 center of the circle shall be in that line. Let the straight... | |
 | James Maurice Wilson - 1868 - 150 pàgines
...a chord AB be drawn from the point of contact A of the tangent TAS. Then will the angles BAS, BA T be equal to the angles in the alternate segments of the circle. For take any point P in the arc of the segment alternate to BAS, and join PB, PA, and produce PA to... | |
 | Cambridge univ, exam. papers - 1870 - 272 pàgines
...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...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... | |
 | Edinburgh univ - 1871 - 392 pàgines
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 3. If a straight line touch a circle, and from the point...the circle, the angles made by this line with the tangent are equal to the angles in the alternate segments of the circle. 4. To describe an isosceles... | |
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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. 
