 | 1865 - 276 pàgines
...or in the circumference, which shall touch a given circle. 32. Theorem. If & straight line touches a circle, and from the point of contact a 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... | |
 | Euclides - 1865 - 402 pàgines
...FC; 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
...radius 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... | |
 | John Playfair - 1855 - 350 pàgines
...other line but FC can be perpendicular to DE ; FC is therefore perpendicular to DE. B PROP. XIX. THEOR. If a straight line touch a circle, and from the point of contact a stimght Imt be drawn at right angles to the touching line, the centre of the circle is in that line.... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...the 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... | |
 | 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... | |
 | 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
...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... | |
 | 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... | |
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If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles... 
