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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 circle. "
The Elements of Geometry, Symbolically Arranged - Page 79
by Great Britain. Admiralty - 1846
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Manual of Method for the use of teachers in elementary schools

W F. Richards - Elementary school teaching - 1856 - 198 pages
...given point without the circumference, w^ioh shall touch a given circle. <9. Jf a straight line touches a circle, and from the point of contact a .Straight...which are in the alternate segments of the circle. 10. .Describe a circle about a given triangle. Under what circumstances can a circle be described to...
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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...which are in the alternate segments of the circle. 10. Deseribe a circle about a given triangle. Under what circumstances can a circle be deseribed to...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...is less than a right angle, wherefore ADC is greater than a right angle. LXVII.— EUCLID III. 32. If a straight line touch a circle and from the point...straight line be drawn cutting the circle, the angles made by this line with the line touching the circle, are equal to the angles in the alternate segments...
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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...which are in the alternate segments of the circle. On a given line to describe a segment which shall contain an angle equal to a given angle. If the given...
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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...which are in the alternate segments of the circle. From a given circle cut off a segment so that the angle in the segment shall be half a right angle....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...right angles. Show that a square is greater than any other parallelogram of the same perimeter. 13. If a straight line touch a circle, and from the point...straight line be drawn cutting the circle, the angles made by this line with the line touching the circle shall be equal to the angles which are in the alternate...
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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 - 288 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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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...cutting the circle ; the angles which this line makes icith the line touching the circle, shall be equal to the angles which are in the alternate segments...
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