 | Architecture - 1865 - 276 pages
...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... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...radius a, about its diameter. i • • J; >. , г.- •• . . - • I. GEOMETRY. > » •' *•"' 1. ' If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, the angles which this line makes, && . 2. The sides about the equal angles of equiangular triangles... | |
 | John Playfair - Geometry - 1855 - 350 pages
...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 - Euclid's Elements - 1867 - 426 pages
...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 - Euclid's Elements - 1867 - 424 pages
...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 - 334 pages
...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...contact a 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... | |
 | Robert Potts - 1868 - 434 pages
...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 pages
...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...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... | |
 | Edinburgh univ - 1871 - 392 pages
...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...contact a 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... | |
 | Henry William Watson - Geometry - 1871 - 320 pages
...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... | |
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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. 
