 | Euclid - 1853 - 176 pàgines
...part ff the circumference for its base as an angle at the circumference. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting the circle. They shall stand upon equal parts of the circumference, whether they be at the center or the circumfer... | |
 | Euclides - 1853 - 176 pàgines
...e. Therefore, if a straight line, &c. QED PROPOSITION XIX. — THEOREM. If a straight line touches 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. LET the straight... | |
 | William Somerville Orr - 1854 - 534 pàgines
...here only to avoid interruption in the numbering of the propositions. PROPOSITION XIX.— THEOREM. If a straight line touch a circle, and from the point of contact a straight line be draw» at right angles to the touching line, the centre of the circle shall be in that. lim. PROPOSITION... | |
 | John Playfair - 1855 - 334 pàgines
...; 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...the circle, the angles made by this line with the lute which touches the circle, shall be equal to the angles in the alternate «§•ments of the circle.... | |
 | Robert Potts - 1855 - 1050 pàgines
...as c is the Arithmetic, Geometric, or Harmonic mean between a and b. 6. If a straight line touches a circle, and from the point of contact a straight...the circle, the angles made by this line with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.... | |
 | Euclides - 1855 - 270 pàgines
...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... | |
 | Euclides - 1856 - 168 pàgines
...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...the 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... | |
 | Cambridge univ, exam. papers - 1856 - 200 pàgines
...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... | |
 | W F. Richards - 1856 - 198 pàgines
...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... | |
 | 1856 - 376 pàgines
...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... | |
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If a straight line touch a circle, and from the point of contact a... 
