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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... "
Military examinations. Mathematical examination papers, set for entrance to ... - Seite 146
von Woolwich roy. military acad, Walter Ferrier Austin - 1880
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Pure mathematics, Band 1

Edward Atkins - 1874 - 428 Seiten
...perpendicular to DE, but FC; therefore FC is perpendicular to DE. PROPOSITIONS. 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 the straight...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 Seiten
...(111.15) but L ABP is < a right / ; ANGLES IN CIRCLES. PROPOSITION XVII. 119 If a straight line touches 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 shall be equal h the...
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The Bombay university calendar, Band 1

Bombay city, univ - 1874 - 648 Seiten
...meeting in F the lino CF which bisects the angle between CD and BC produced : prove that AE = EF. 3. If a straight line touch a circle and from the point of 8 contact a straight line bo drawn cutting the circle, the angles which this line makes with the line...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 Seiten
...semicircle is a right angle. Construct a square equal to the difference of two given squares. • 2. If a straight line touch a circle and from the point of contact a straight line be drawn cutting the circle, the angle which mis line makes with the line touching the circle shall be equal...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 Seiten
...F(J is perpendicular to DE. Therefore, if a straight line, &o. QED, Proposition 19.— Theorem. Jf a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching liiie, the centre of the circle shall be in that line. Let the straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...is, FC is perpendicular to DE. Therefore, if a straight line, &c. QED • PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line ba drawn at right angles to the touching line, the center of the circle ihali be in that line. Let...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 Seiten
...it touches it internally or externally. .. .. .. .. .. ..116 19. If a straight line be a tangent to a circle, and from the point of contact a straight line be drawn perpendicular to the tangent, the centre of the circle shall be in that line. .. .. .. .. .. .. 116...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 Seiten
...from the centre. What is the locus of the middle points of all equal chords of a circle? (15.) 29. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, show that the angles which this line makes with the line touching the circle shall...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 Seiten
...the sides of the polygon (P. 40). PROP. XLII. THEOREM. If a straight line touch a circle, and froni the point of contact a straight line be drawn meeting the circle ; the angles •which this straight line makes with the line touching the circle shall be egual to the angles which are in the...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 Seiten
...figure formed by joining the extremities of these four lines taken in order will be a rectangle. 3. If a straight line touch a circle, and from the point...drawn meeting the circle, the angles which this line make with the line touching the circle shall be equal to the angles in the alternate segments of the...
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