 The angle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle.  The New Zealand University Calendar - Page 69by University of New Zealand - 1905Full view - About this book
 | Dalhousie University - 1888 - 212 pages
...tangent to a circle is at right angles to the radius drawn from the centre to its point of contact. 5. If a straight line touch a circle, and from the point of contact any chord of the circle be drawn, the angles between the chord and the tangent are equal to the angles... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...the angle A. Show that the construction is impossible unless 2C + A is less than a right angle. 7. 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... | |
 | John Fry Heather - Geometry, Modern - 1890 - 252 pages
...Angles in the same segment of a circle are equal to one another. (Eu. III., 21.) 137. THEOR. 23. — 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... | |
 | Isaac Hammond Morris - Geometry, Plane - 1890 - 440 pages
...the point of contact is perpendicular to the line touching the circle.' Also the converse of this. ' 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 that... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...and enunciation of tlioae propositions of Euc. Bk. III., in which this definition is made use of. 3. If a straight line touch a circle, and from the point of contact a straight line lie drawn cutting the circle, the angles which this line makes with the line touching... | |
 | Euclid - Geometry - 1890 - 442 pages
...As, v ABQP is a cyclic quad. A And it has been shown that PAB < rt. A . Proposition 32. THEOREM — If a straight line touch a circle, and from the point of contact a straight line is drawn dividing the circle into two segments, the angles made by this line with tlie... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...given point a chord of a given circle which bisected by a given straight line. PROPOSITION 32. 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... | |
 | 1891 - 718 pages
...whether that angle be right, obtuse, or acute. (6) Prove the case in which the angle is obtuse. 3. (a) 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... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...straight line which joins their centres, being produced, shall pass through tho point of contact. 3. If a straight line touch a circle, and from the point of 8 contact a chord be drawn, the angles which this chord makes with the tangent shall be equal to the... | |
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