 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...  The Cambridge Examiner - Page 4061881Full view - About this book
 | Euclid - Geometry - 1845 - 218 pages
...that is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOB. — 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... | |
 | Euclides - 1845 - 546 pages
...to DE. Therefore, if a straight line, &c. QED PROPOSITION XIX. THEOREM. // 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...a rt. Z, "> **<• .'. L BAC in the semi 0 = rt. Z. Wherefore the Z, &c. PROP. LX. THEOR. 32. 3Eu . 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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...BAC, FAC, is a rt. .'. L BAC in the semi 0 = rt. L • Wherefore the L, &c. PROP. LX. THEOR. 32. 3 EU. 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... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXXII. THEOR. 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 which touches the circle, shall be equal... | |
 | Euclides - 1846 - 292 pages
...that is, FC is perpendicular to DE. Wherefore, If a straight line %c. < i . E. i > . PROP. 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... | |
 | Euclides - 1848 - 52 pages
...the angle in a segment less than a semicircle is greater than a right angle. 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... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...perpendicular to DE. Therefore, if D a straight line, &c. QED PROP. XIX. THEOR. 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... | |
 | 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... | |
 | 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... | |
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