 | War office - 1861 - 714 pages
...straight line made up of the ^half and part produced. 4. If a straight line touch a circle, and fromlthe point of contact a straight line be drawn at right...angles to the touching line, the centre of the circle is in that line. Voluntary Portion. 1. Insert five arithmetic means between (a — b) and (a + 6).... | |
 | Euclides - 1861 - 464 pages
...the ¿_ E AB is < a rt. ¿_ ; 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
...Conclusion. — Therefore, if a straight line, Sus. QED PROPOSITION 19. -THEOREM, If a straight line touch a circle, and from the point of contact a straight...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
...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
...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...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
...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... | |
 | Architecture - 1865 - 276 pages
...point, either without 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... | |
 | Robert Potts - 1865 - 528 pages
...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
...two, and when the adjacent angles are equal, they are right angles. Prop. 32. If a straight line tonch 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 tonching the circle, shall be equal... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...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... | |
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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... 
