 | E. J. Brooksmith - 1889 - 356 Seiten
...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...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 alternate... | |
 | John Fry Heather - 1890 - 252 Seiten
...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...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 alternate... | |
 | Isaac Hammond Morris - 1890 - 440 Seiten
...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 line.' (Eue. in. 18... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 Seiten
...chord of a circle of given length malting a given angle with a given st. line. PROPOSITION 19. THEOREM. 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 line. Let DE be a tangent... | |
 | Euclid - 1890 - 442 Seiten
...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 tangent are... | |
 | Queensland. Department of Public Instruction - 1890 - 526 Seiten
...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 the circle shall... | |
 | 1891 - 644 Seiten
...opposite angle and the vertex of the obtuse angle. 7. The angle in a semi-circle is a right angle. 8. If a straight line touch a circle, and from the...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 alternate... | |
 | 1891 - 718 Seiten
...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...straight line be drawn cutting the circle, the angles made by this line with the line touching the circle must be equal to the angles which are in the alternate... | |
 | Queensland. Department of Public Instruction - 1892 - 508 Seiten
...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... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 Seiten
...whether that angle be right, obtuse, or acute. (b) Prove the case in which the angle is obtuse. 3. (a) If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles made by this line with the line touching the circle must be equal to the angles which are in the alternate... | |
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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 line. 
