 | Euclid - Geometry - 1853 - 176 pages
...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 - Geometry - 1853 - 176 pages
...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 - Science - 1854 - 534 pages
...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 - Euclid's Elements - 1855 - 340 pages
...is less than a right angle. Also because ABCD is a quadrilateral figure in a circle, any two of iw opposite angles are equal (22. 3.) to two right angles...line be drawn cutting the circle, the angles made by thin line with the line which touches the circle, shall be equal to the angles in the alternate segments... | |
 | 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...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 pages
...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...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 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
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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 made by... 
