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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 made by... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Page 81
by John Playfair - 1842 - 317 pages
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National Society's Monthly Paper

1856 - 376 pages
...given point without the circumference, which shall touch a given circle. 9. 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 with the line touching the circle shall be equal to the angles which are in the...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...the sides of the triangle. 8. If two circles cut one another, they shall not have the same centre. 9. 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. 10. In equal...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. 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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...the provisions were then exhausted in 5 days ; find the number of men in the garrison at first. 6. 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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...the 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: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 332 pages
...any two of ita ojv isite angles are equal (23. 3.) to two right angles ; therefore the angles .A: J, ADC are equal to two right angles ; and ABC is less...the circle, the angles made by this line with the Itne which touches the circle, shall be equal to the angles in the alternate segments of the circle....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...that 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 Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 286 pages
...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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...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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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 pages
...; 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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