 | Euclides - 1816 - 588 pages
...equal, they are right angles. PROP. XXXII. THEOR. Ira straight line touches acircle, 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 the angles which are in the alternate segments of the circle.... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 to the angles which are in the alternate segments of the circle.... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...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 to the angles which are in... | |
 | John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...contact, a straight line be drawn cutting the circle, shew that the angles made by those lines will be equal to the angles in the alternate segments of the circle. 9. Demonstrate the proposition usually cited Ex cequo. \.Euclid, Book 5, Prop. 22.] 10. Shew that the... | |
 | Euclides - 1834 - 518 pages
...10 Def. 1• PROPOSITION 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... | |
 | Mathematics - 1835 - 684 pages
...than the other, PROP. 17. (Eue. iii. 32.) If a straight line touch a circle, and if from the point of contact a straight line be drawn cutting the circle, the angles which it makes with the tangent shall be equal to the angles which are Contained in the alternate segments... | |
 | Mathematics - 1836 - 488 pages
...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 cutting the circle,...the angles in the alternate segments of the circle. XXXIV. If two straight lines within a circle cut one another, the rectangle contained by the segments... | |
 | John Playfair - Geometry - 1836 - 148 pages
...greater than a right angle. PROP. XXIII. 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 touching the circle, shall be equal to the angles which are in the alternate segments of the circle.... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...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,...circle, shall be equal to the angles in the alternate seg' ments of the circle. Let the straight line EF touch the circle ABCD in B, and from the point B... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...ADC > right Z • 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 made by this line with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle.... | |
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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 made by this line with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle. 
