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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 which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the... "
The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 105
by Euclides - 1853
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...greater may be twice the part intercepted by the circumference of the less. PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from the point of contort 9 straight line be drawn cutting the circle, the angles made by this line iirith the line touching...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 248 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 be equal...
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(Report).

Elizabethan club - 1880 - 156 pages
...rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 7. 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 shall be equal to...
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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 be equal...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...therefore FC is perpendicular to DE. \VTierefore, if a straight line &c. QED PROPOSITION 19. THEOREM. If a straight line touch a circle, and from the point of contact a straight line lie drawn at right angles to the touching line, the centre of the circle shall be in that line. Let...
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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 Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...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...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 point without a given...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...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 of contact a straight line be drawn cutting the circle ; the. angles which this straight line makes with the tangent are equal to the anyles...
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...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...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 302 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 be equal...
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