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" P is at the center of the circle. II. 18. The sum of the arcs subtending the vertical angles made by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are... "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 125
by Francis Joseph Grund - 1834 - 190 pages
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First lessons in Plane Geometry. Together with an application of them to the ...

Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...cutting the circle, the tangent GEOMETRY. 177 is a mean proportional between that whole line, and the part of it which is without the circle. 26. If a chord...27. If from a point without a circle, two straight sides are drawn, cutting the circle, these lines are to each other in the inverse ratio of their parts...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 pages
...cutting the circle and making equal angles with the longest line, they will cut off equal segments. 38. From a point without a circle two straight lines are drawn cutting the convex and concave circumferences, and also respectively parallel to two radii of the circle. Prove...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are drawn cutting the convex and concave circumferences, and also respectively parallel to two radii of the circle. P.ove...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are drawn cutting the convex and concave circumferences, and also respectively parallel to two radii of the circle. Prove...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are drawn cutting the convex and concave circumferences, and also respectively parallel to two radii of the circle. Prove...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are drawn cutting the convex and concave circumferences, and also respectively parallel to two radii of the circle. Prove...
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Euclidian Geometry

Francis Cuthbertson - Euclid's Elements - 1874 - 396 pages
...circumference equal to one another, the centre lies in the straight line bisecting the angle between them. 8. If from a point without a circle two straight lines are drawn to the circumference equal to one another, the centre lies in the straight line bisecting the angle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are drawn cutting the convex and concave circumferences, and also respectively parallel to two radii of the circle. Prove...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 390 pages
...the side BC in the points D and E. Shew that AB touches the circle described on DE as diameter. 11. If from a point without a circle two straight lines are drawn, one of which cuts the circle and the other meets it ; then if the rectangle contained by the whole...
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Calendar of Dalhousie College and University

Dalhousie University - 1893 - 152 pages
...others that which makes a greater angle with the least line is greater than that which makes a less. 6. If from a point without a circle, two straight lines are drawn, one of which touches the circle and the other cuts it ; the difference of the squares of the line to...
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