 | Euclides - 1853 - 334 σελίδες
...touching lines are right angles, and therefore equal : which is impossible (Az. 9). PBOP. XIX. THEOE. If a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to it : then the centre of the circle shall be in that line. Let DE touch the circle... | |
 | Euclides - 1853 - 146 σελίδες
...FC; that is 5. 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. Let the straight... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...that is, FC is perpendicular to DE. Therefore, if a straight line, etc. QED PROPOSITION XIX. THEOR. 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. Let the straight... | |
 | Euclid - 1853 - 176 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...; 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...straight line be drawn cutting the circle, the angles made by this line with the lute which touches the circle, shall be equal to the angles in the alternate... | |
 | Robert Potts - 1855 - 1050 σελίδες
...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 line be drawn cutting the circle, the angles made by this line with the line touching the circle, shall be equal to the angles which are in the... | |
 | Euclides - 1855 - 270 σελίδες
...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...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...which are in the alternate segments of the circle. 11. Upon a given straight line to describe a segment of a circle which shall contain an angle equal... | |
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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 circle. 
