| Euclides - 1861 - 464 pages
...; if without, as AF, the ¿_ FAB is > a rt. ¿. VB Pnоr. 32. — THEOK. If a 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 icith the line touching the circle, shall be... | |
| Euclides - 1862 - 140 pages
...perpendicular to DE. Conclusion. — Therefore, if a straight line, Sus. QED PROPOSITION 19. -THEOREM, **If a straight line touch a circle, and from the point...touching line, the centre of the circle shall be in** 't/uit line. (Reference— Prop. III. 18.) EUCLID S ELEMENTS. Sequence. — The centre of the circle... | |
| Euclides - 1862 - 172 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... | |
| Euclides - 1864 - 262 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...be drawn at right angles to the touching line, the** center of the circle shall be in that line. Let the straight line DE touch the circle ABU in C, and... | |
| Euclides - 1864 - 448 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 anglc-s which this line makes with the line touching the circle shall be equal... | |
| Robert Potts - 1865 - 528 pages
...when the adjacent angles are equal, they are right angles, (i. def. 10.) PROPOSITION XXXn. 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 lint makes with the line touching the circle shall be equal... | |
| 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... | |
| 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... | |
| James Robert Christie - Mathematics - 1866 - 426 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 - 358 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.... | |
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