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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. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pagina 79
door John Playfair - 1856 - 318 pagina’s
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 pagina’s
...normals to the circle at the points where they meet the circumference. PROPOSITION XIX. 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 must be in that line. Let the st. line...
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Elements of geometry, containing the first two (third and fourth ..., Deel 2

Euclides - 1872
...touched by both lines lie in two lines at right angles to each other. PROPOSITION XIX. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be draicn at right angles to the touching line, the centre of the circle must be in that line. Let the...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...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 - 349 pagina’s
...(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 angles in the alternate segments...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...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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Pure mathematics, Volume 1

Edward Atkins - 1874
...shown that no other straight * ^^ but FC therefore FC PROPOS1110NS. 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, Volume 1

Edward Atkins - 1874
...drawn from the point of contact B, cutting the circle. The angles which BD makes with the tangent EF shall be equal to the angles in the alternate segments of the circle; CONSTRUCTION. — From the point B draw BA at right angles to EF (I. 11). Take any point C in the circumference...
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876
...of intersection in each circle with its centre, will all be parallel. PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from the point...circle, the angles made by this line with the line touching the citcle must be equal to the angles, which are in the alternate segments of the circle....
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Examination Christmas,1875

Education Department,London - 1876
...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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