 | John Playfair - Euclid's Elements - 1855 - 340 pages
...and from the point of contact a straight line be drawn cutting the circle, the angles made by thin line with the line which touches the circle, shall...the angles 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 - 1855 - 270 pages
...extremities, without producing it, by means of the first part of this proposition. PROP. XXXII. THE 0 В. E M. If a straight line touch a circle, and from the point of contact a straight line bе drawn cutting the circle • the. angles which this straight line makes with the tangent are equal... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXXII. THEOR. // a straight line touch a circle, and from the point...the angles 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 - 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...circle, the angles made by this line with the line touching the circle, are equal to the angles in the alternate segments of the circle. Let the straight... | |
 | 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 to the angles which are in the... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...given point without the circumference, w^ioh shall touch a given circle. <9. Jf 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 to the angles which are in... | |
 | 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. In equal... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...line which joins their centres shall pass through the point of contact. 10. 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 to the angles which are in... | |
 | 1857 - 408 pages
...the point of contact cutting the circle, the angles between the touching line and the cutting line shall be equal to the angles in the .alternate segments of the circle. SECT. 111. — 1. Inscribe a circle in a given triangle. 2. Describe a circle about a given square.... | |
 | 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...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... | |
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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... 
