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
| Euclides - History - 1853
...the first part of the prop" that BAC is a right angle. Which was to be proved. PEOP. XXXII. THEOE. **If a straight line touch a circle, and from the point of contact** a straight line be drawn cutting the circle : then the angles which this line makes with the touching... | |
| Euclides - 1853
...and when the adjacent angles are equal, they are (I. Def. 10.) right angles. PROP. XXXII. THEOREM. **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... | |
| William Somerville Orr - Science - 1854
...here only to avoid interruption in the numbering of the propositions. PROPOSITION XIX.— THEOREM. **If a straight line touch a circle, and from the point of contact** a straight line be draw» at right angles to the touching line, the centre of the circle shall be in... | |
| Euclides - 1855
...diameter which passes through the point of contact is perpendicular to the tangent. PROP. XIX. THEOREM. **If a straight line touch a circle, and from the point of contact** a straight line be drawn at right angles to. the tangent, the centre of the circle shall be in that... | |
| John Playfair - Geometry - 1855 - 318 pages
...; and when the adjacent angles are equal, they are right anles. •T*"*'V i^ PROP. XXXII. THEOR. Jf **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 lute which touches... | |
| Euclides - 1856
...ABC is less than a right angle, wherefore ADC is greater than a right angle. LXVII.— EUCLID III. **32. 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... | |
| Cambridge univ, exam. papers - 1856
...the sides of the triangle. 8. If two circles cut one another, they shall not have the same centre. 9. **If a straight line touch a circle, and from the point of contact** a straight line be drawn at right angles to the touching line, the centre of the circle shall be in... | |
| W. Davis Haskoll - Technology & Engineering - 1858 - 324 pages
...than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. **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... | |
| War office - 1858 - 12 pages
...the provisions were then exhausted in 5 days ; find the number of men in the garrison at first. 6. **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... | |
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