 | John Playfair - Geometry - 1855 - 334 pages
...; and when the adjacent angles are equal, they are right anles. •T*"*'V i^ PROP. XXXII. THEOR. Jf a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles made by this line with the lute which touches the circle, shall... | |
 | Euclides - 1856 - 168 pages
...is less than a right angle, wherefore ADC is greater than a right angle. LXVII.— EUCLID III. 32. 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 this line with the line touching the circle, are equal... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...the sides of the triangle. 8. If two circles cut one another, they shall not have the same centre. 9. 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. 10.... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...besides FC, 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 - 1862 - 172 pages
...besides FC ; 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
...32.) and 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... | |
 | Robert Potts - 1865 - 528 pages
...32.) and 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... | |
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If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments. 
