| John Playfair - 1835 - 336 σελίδες
...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 be equal to the angles in the alternate segments of the circle. Let... | |
| 1836 - 488 σελίδες
...the adjacent angles are equal, they are right angles. XXXI. If a straight line touch a circle, and from the point of contact a straight line be drawn...circle, the angles made by this line with the line which touches the circle, shall be equal to the angles in the alternate segments of the circle. XXXIV.... | |
| Euclides - 1837 - 112 σελίδες
...Zs, 2. that Z ADC > right Z • PROPOSITION XXXII. Theorem. If a straight line touches a circle, and from the point of contact a straight line be drawn...which are in the alternate segments of the circle. Steps of the Demonstration. 1. Prove that centre of © is in AB, and .'. seg. ACB 2. that Zs BAD +... | |
| Euclides - 1838 - 264 σελίδες
...arc i8 greater than this right angle. PROP. XXXII. THEOR. If a straight line touches 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... | |
| Euclides - 1841 - 378 σελίδες
...equal, they are right* angles. »iol>ef. 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 to the angles which are in... | |
| Euclides - 1842 - 316 σελίδες
...3.) touches the circle at the point B. PROP. XXXII. THEOK IF a straight line touches a circle, and from the point of contact a straight line be drawn...circle. Let the straight line EF touch the circle A BCD in B, and from the point в let the straight line BD be drawn, cutting the circle : the angles... | |
| John Playfair - 1842 - 332 σελίδες
...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...circle, the angles made by this line with the line which touches the circle, shall be equal to the angles in the alternate segments of the circle. Let... | |
| 1844 - 688 σελίδες
...inscribed in a circle, are together equal to two right angles. 11. 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 touching line, shall be equal to the angles in the alternate segments.... | |
| Euclides - 1845 - 546 σελίδες
...are right angles, (i. def. 10.) 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 which this line makes wiih the line touching the circle, shall be equal to the angles which are in... | |
| Euclid, John Playfair - 1846 - 334 σελίδες
...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...circle, the angles made by this line with the line which touches the circle, shall be equal to the angles in the alternate segments of the circle. Let... | |
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