 | Euclid, Thomas Tate - 1849 - 120 pages
...the adjacent angles are equal, they are right angles. PROP. XXXH. THEOK. 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... | |
 | Euclid, John Playfair - Geometry - 1853 - 317 pages
...contact a straight line be drawn at right angles to the touching line, the centre of the circle is in that line. Let the straight line DE touch the circle ABC, in C, and from C let CA be drawn Łt right angles to DE ; the centre of the circle is in CA. For, if not, let F be the centre, if possible,... | |
 | Euclides - 1853 - 146 pages
...and when the adjacent angles are equal, they are (I. Def. 10.) right angles. PROP. XXXII. THEOREM. 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 shall be equal to... | |
 | Euclides - Geometry - 1853 - 334 pages
...the first part of the prop" that BAC is a right angle. Which was to be proved. PEOP. XXXII. THEOE. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle : then the angles which this line makes with the touching line shall be respectively... | |
 | 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... | |
 | Euclides - 1853 - 176 pages
...angles are equal they are right angles. PROPOSITION XXXII. — THEOREM. If a straight line touches a circle, and from the point of contact a straight line be drawn cutting the circle, the angles moule bу this Une with the line touching the circle shall be equal... | |
 | William Somerville Orr - Science - 1854 - 532 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 - Geometry - 1855 - 336 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 be equal... | |
 | Euclides - 1855 - 262 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... | |
 | 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 line be drawn cutting the circle, the angles made by this line with the line touching the circle, shall be 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... 
