 | John Mason Good - 1819 - 740 pages
...less than a semicircle is greater than a right angle. Prop. XXX IL Thcor. If a straight line touche» a circle, and from the point of contact a straight line be drawn culling the circle, the angles made by this line with the line touching the circle, shall be equal... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...adjacent angles are equal, they are right angles. Proportion XXX IL Theorem. 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 - 1826 - 236 pages
...line EF touches the circle ABCD, in the point в, and from the point of contact в a right line BA is drawn at right angles to the touching line, the centre of the circle ABCD will be in • 19. 3. BA.a Wherefore BA is a diameter of the same circle, and ADB an angle in... | |
 | Euclides - 1826 - 226 pages
...line EF touches the circle ABCD, in the point в, and from the point of contact в a right line BA is drawn at right angles to the touching line, the centre of the circle ABCD will be in « 19.3. BA. a Wherefore BA is a diameter of the same circle, and ADB an angle in a... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...the same two ; and when the adjacent angles are equal, they are f 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 which this line makes with the line touching the circle, shall be equal... | |
 | John Playfair - Geometry - 1829 - 210 pages
...to DE; therefore FC is perp. to DE. Therefore, if a straight line &c. QED PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn perpendicular to the tangent, the centre of the circle is in that line. • ' N CG 1) c E Let the straight... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...be perpendicular to the line touching the circle. Cor. 2. (Eue. iii. 19.) If a straight line touches a circle, and from the point of contact, a straight...line, the centre of the circle shall be in that line. Cor. 3. Tangents ТА, ТВ which are drawn to a circle from the same point T, are equal to one another.... | |
 | Mathematics - 1835 - 684 pages
...be perpendicular to the line touching the circle. Cor. 2. (Eue. iii. 19.) If a straight line touches a circle, and from the point of contact, a straight...line, the centre of the circle shall be in that line. Cor. 3. Tangents ТА, ТВ which are drawn to a circle from the same point T, are equal to one another.... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...to the same two ; and when the adjacent angles are equal, they are right angles. PROP. XXX. THEOR. If a straight line touch a circle, and from the point of contact a straight line be draion cutting the circle, the angles made by this line with the line which touches the circle, shall... | |
 | Euclid - 1835 - 540 pages
...XIX. THEOR. GE If a straight line touches a circle, and from the point of contact a straight line is 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 at... | |
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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... 
