 | Euclides - 1864 - 448 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED 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 touch ing line, the center of the circle shall be in that line. Let the straight... | |
 | Euclides - 1865 - 402 pages
...when the adjacent angles are equal, they are right angles, (i. def. 10.) PROP. XXXII. — THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle; then the angles made by this line with the line touching the circle shall be equal... | |
 | Robert Potts - 1865 - 528 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED 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... | |
 | 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... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...If a straight line touch a circle, and from the point of contact a straight line be drawn cutting; the circle, the angles which this line makes with...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... | |
 | 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 of contact a straight line be drawn cutting the circle, the angles which this line makes, && . 2. The sides about the equal angles of equiangular... | |
 | 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 - 424 pages
...when 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 be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal... | |
 | 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... | |
 | 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 of 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... | |
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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 which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the... 
