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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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pagina’s
...straight line intercepted without the triangle between the perpendicular and the obtuse angle. 4. If a straight line touch a circle and from the point...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...
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Elements of Geometry and Mensuration: With Easy Exercises, Designed for ...

Thomas Lund - 1859 - 362 pagina’s
...case the circles are said to touch each other externally, in the latter internally. 63. PROP. XV. If a straight line touch a circle, and from the point of contact a chord be drawn dividing the circle into two segments, the angle between the tangent and this chord...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...perpendicular to it besides FC ; that is, FC is perpendicular to DE. GE 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. Given that the straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 pagina’s
...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 ttraight line be drawn at right angles to the touching line, the center of the circle shall be in that...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...; if without, as AF, the _ FAB is > a rt. . VB Pnоr. 32. — THEOK. 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 line makes icith the line touching the circle, shall be equal to the angles which are in...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pagina’s
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 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. Voluntary Portion....
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...that Is, FC Is perpendicular to DE. Therefore, if a straight line, &c. QED PROP. 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 shall be in that line. (References —...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...the adjacent angles are equal, they are right angles. (I. def. 10.) PROPOSITION XXXII. THEOREM. If a straight line touch a circle, and from the point of contact a straight line be drawn meeting the circle ; the anglc-s which this line makes with the line touching the circle shall be equal...
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Papers Read at the Royal Institute of British Architects

1865
...or in the circumference, which shall touch a given circle. 32. Theorem. If & straight line touches 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...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...that is, FC is perpendicular to DE. Therefore, if a straight line, &e. QED PROP. 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 shall be in that line. (References —...
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