| 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 - 336 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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