If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments. Books 3-9 - Page 65by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| ...Z. To prove that Lb = LR. Proof. By (i) LR + La - 2 rt. Z.8. But ZTW is a st. line, QED THEOREM 45. **If a straight line touch a circle, and from the point of contact** a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the... | |
| University of Cambridge, Sir Thomas Gery Cullum - 1870
...the squares on the straight lines joining /•' to the same points by four times the square on EF. 3. **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... | |
| Great Britain. Parliament. House of Commons - Legislation - 1861
...angle at the centre of a circle is double of the angle at the circumference upon the same base. 10. **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... | |
| ...hypotenuse of a right.angled triangle is equal to the sum of the squares on the sides. 7. Prove that **if a straight line touch a circle and from the point of contact** a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the... | |
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