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" 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. "
Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ... - Page 150
by Euclid - 1890 - 400 pages
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...any point, the straight line which joins their centres shall pass through the point of contact. 7. If a straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle, the angles which this line makes with the line touching the circle shall...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pages
...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 of contact a straight line be drawn cutting the circle, the angle which this line makes with the line touching the circle shall...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...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 Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...is less than a 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 of contact a straight line be drawn cutting the circle, the angles made by this line with the line which touches the circle, will...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...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 of contact a straight line be drawn cutting the circle, the angles which this straight line makes with the line touching the circle...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...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 of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall...
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The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...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 of contact a straight line be drawn cutting the circle, the angles made by this line with the line touching the circle must be...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...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 of contact a straight line be drawn cutting the circle, the angle which this line makes with the line touching the circle shall...
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The Competitor, Volumes 3-4

1883 - 248 pages
...semicircle is less than a right angle, and the angle in a semicircle is a right angle. 8. Prove that, if a straight line touch a circle and from the point of contact another straight line be drawn to cut the circle, the angles which this line makes with the former...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...angles ; [I. 32. and when the adjacent angles are equal, they are right angles. [I. Definition 10. PROPOSITION 32. THEOREM. If a straight line touch...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...
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