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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... "
The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ... - Pàgina 42
1836 - 472 pàgines
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pàgines
...has to the fourth ? 8. The sides about the equal angles of equiangular triangles are proportional. If a straight line touch a circle, and from the point of contact two chords be drawn, and if from the extremity of one of them a straight line be drawn parallel to...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 pàgines
...extremities without producing it, by means of the first part of this proposition. VS. OP. XXXII THEOREM. If a straight line touch a circle, and from the point...straight line be drawn cutting the circle ; the. angles which this straight line makes with the tangent are equal to the anyles in the alternate segments of...
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The Cambridge Examiner, Volum 4

1884 - 538 pàgines
...of a parallelogram is equal to the sum of the squares on the diagonals. 8. If a straight line iouch 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 the...
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The Cambridge Examiner, Volum 3

1883 - 536 pàgines
...the square on the line between the points of section, is equal to the square on half the line. 11. 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. 12. If from a...
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Elements of Geometry

Simon Newcomb - 1881 - 418 pàgines
...let a tangent DAD' be drawn at one end of the chord AB, suppose A. 2. The angles BAD and BAD' will be equal to the angles in the alternate segments of the circle (§§ 234, 235). 3. Therefore the required circle will be one of which the tangent at A makes an angle...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 286 pàgines
...right angle; wherefore the other, ADC, is greater than a right angle. Proposition 22. Theorem. — If a straight line touch a circle, and from the point...this line with the line which touches the circle, will be equal to the angles in the alternate segments of the circle. Let the straight line EF touch...
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The Oxford examiner, ed. by M.W.I. Shilleto, Edicions 1-5

Mary W I. Shilleto - 1882 - 418 pàgines
...intersect in E, the angles subtended by AC and BD at the centre are together double of the angle AEG. 2. If a straight line touch a circle, and from the point...circle, the angles made by this line with the line touching the circle must be equal to the angles, which are in the alternate segments of the circle....
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pàgines
...to the circumference, and prove that it is not equal to either of . these three straight lines. 7. If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles which this straight line makes with the line touching the circle shall be equal to the angles in the...
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The Cambridge Examiner, Volum 2

1882 - 498 pàgines
...intercepted between the perpendicular let fall on it from the opposite angle and the acute angle. 7. If a straight line touch a circle, and from the point...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 the...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pàgines
...circle at right angles to each other. Show that they are sides of a square inscribed in the circle. 3, If a straight line touch a circle, and from the point...contact a straight line be drawn cutting the circle, the angle which this line makes with the line touching the circle shall be equal to the angles in the alternate...
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