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" If from the vertical angle of a triangle three straight lines be drawn, one bisecting the angle, another bisecting the base, and the third perpendicular to the base, the first is always intermediate in magnitude and position to the other two. "
A Treatise on Special Or Elementary Geometry: An advanced course in geometry - Page 272
by Edward Olney - 1872 - 84 pages
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...the angle of these two lines is equal to the difference of the two acute angles of the triangle. 9. In the base of a triangle, find the point from which...to the sides, and parallel to them, will be equal. 10. To construct a square, having a given diagonal. 11. Two triangles having an angle in the one equal...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...perpendicular to the base, the first is always intermediate in magnitude and position to the other two. 52. In the base of a triangle, find the point from which, lines drawn parallel to the sides of the triangle and limited by them, are equal. 53. In the base of a triangle,...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...perpendicular to the base, the first is always intermediate in magnitude and position to the other two. 52. In the base of a triangle, find the point from which, lines drawn parallel to the sides of the triangle and limited by them, are equal. 53. In the base of a triangle,...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1866 - 336 pages
...is greater than a right angle. ., 40 PROBLEMS. 10. Pivide a right angle into three equal angles. 11. In the base of a triangle, find the point from which lines drawn parallel to the sides of the triangle, and limited by them, are equal. 12. Prove that if two...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...perpendicular to the base, the first is always intermediate in magnitude and position to the other two. 57. In the base of a triangle, find the point from which, lines drawn parallel to the sides of the triangle and limited by them, are equal. 58. In the base of a triangle,...
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An elementary treatise on quaternions

Peter Guthrie Tait - 1867 - 364 pages
...one of them. For any other the vector-side is a + x{) (§ 28), and the proposition appears as (d.) In the base of a triangle find the point from which lines, drawn parallel to the sides and limited by them, are equal. If a, /3 be the sides, any point in the...
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An Elementary Treatise on Quaternions

Peter Guthrie Tait - History - 1867 - 354 pages
...any one of them. For any other the vector-side is a + xp (§ 28), and the proposition appears as (d.) In the base of a triangle find the point from which lines, drawn parallel to the sides and limited by them, are equal. If a, ft be the sides, any point in the...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 432 pages
...the angle of these two lines is equal to the difference of the two acute angles of the triangle. 9. In the base of a triangle, find the point from which...to the sides, and parallel to them, will be equal. 10. To construct a square, having a given diagonal. 11. Two triangles having an angle in the one equal...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...perpendicular to the base, the first is always intermediate in magnitude and position to the other two. 52. In the base of a triangle, find the point from which, lines drawn parallel to the sides of the triangle and limited by them, are equal. 53. In the base of a triangle,...
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A Treatise on Special Or Elementary Geometry: In Four Parts ..., Part 3

Edward Olney - Geometry - 1872 - 96 pages
...780. To bisect a given triangle by a line drawn '/A from a given point in one of its sides. FIG. 421 787. In the base of a triangle find the point from...parallelogram having the diagonals and one side given. 272 SUG. — What is the relation of the perpendiculars to the sides upon which, they fall? If a triangle...
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