| 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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