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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. "
The Cambridge Examiner - Side 29
1884
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873 - 588 sider
...is equal to the same two ; and when the adjacent angles are equal, they are right angles. XXXII. — If a straight line touch a circle, and from the point of contact a straight line lie drawn meeting the circle, the angles which this line makes with the line touching the circle shall...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 sider
...(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...be drawn cutting the circle; the angles which this straight line makes with the tangent shall be equal h the angles in the alternate segments of the circle....
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 sider
...is, 5. FC is perpendicular to DE. Therefore, 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 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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Pure mathematics, Volum 1

Edward Atkins - 1874 - 428 sider
...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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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 sider
...double of the square on half the line, and of the square on the line between the points of section. 4. 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. Describe a circle...
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The Bombay university calendar, Volum 1

Bombay city, univ - 1874 - 648 sider
...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 sider
...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 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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 sider
...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 sider
...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 sider
...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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