 | 1856 - 376 pages
...given point without the circumference, which shall touch a given circle. 9. 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 with the line touching the circle shall be equal... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. 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... | |
 | War office - 1858 - 578 pages
...the provisions were then exhausted in 5 days ; find the number of men in the garrison at first. 6. 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... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...the straight line intercepted without the triangle between the perpendicular and the obtuse angle. 4. 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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 ttraight line be drawn at right angles to the touching line, the center of the circle shall be in that... | |
 | Euclides - 1860 - 288 pages
...perpendicular to it besides FC ; that is, FC is perpendicular to DE. GE If a straight line be a tangent to a circle, and from the point of contact a straight line be drawn perpendicular to the tangent, the centre of the circle shall be in that line. Given that the straight... | |
 | War office - 1861 - 714 pages
...from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle shall be equal to...which are in the alternate segments of the circle. VOLUNTARY PORTION. 1. Triangles and parallelograms of the same altitude are to one another as their... | |
 | 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 - 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 - 262 pages
...when the adjacent angles are equal, they are right angles. (l. def. 10.) PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from the point...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 the angles which... | |
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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... 
