 | Euclides - 1862 - 172 pages
...; that Is, FC Is perpendicular to DE. Therefore, if a straight line, &c. 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 —... | |
 | 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
...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 —... | |
 | 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 which are in... | |
 | 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... | |
 | 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...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;... | |
 | John Playfair - Geometry - 1855 - 350 pages
...no 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 - 336 pages
...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... | |
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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 made by... 
