| Euclides - 1864 - 262 pages
...the point of contact a straight line be drawn meeting the circle j the angles which this line makes with the line touching the circle shall be equal to...which are in the alternate segments of the circle. Let the straight line EF touch the circle ABCD in B, and from the point B let the straight line BD... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| Great Britain. Parliament. House of Commons - Great Britain - 1866 - 862 pages
...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 in the alternate segments of the circle. If two circles touch each other, and parallel diameters be... | |
| 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
...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...circle, the angles made by this line with the line which touches the circle shall be equal to the angles in the alternate segments of the circle. 7. In... | |
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