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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. "
An Elementary Treatise on Quaternions - Página 107
por Peter Guthrie Tait - 1873 - 296 páginas
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 páginas
...from one given point to another, subject to the condition, that it shall meet two given lines. 18. Irr 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. 19. From a given point in either of the eqyal sides...
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Five Years in an English University, Volumen2

Charles Astor Bristed - 1852 - 470 páginas
...reference to the Earth ? PROBLEMS. TRINITY COLLEGE. June, 1843. [4 hours.] 1. IN the base of the angle of a triangle find the point from which lines drawn parallel to the sides of the triangle, and limited by them, are equal. 2. In a triangle ABC let AD bisecting the angle A...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 páginas
...base, the first is always intermediate in magnitude and position to the other two. 52. In the oase 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, to find a point from...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...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, to find a point from...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 páginas
...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, to find a point from...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - 1864 - 288 páginas
...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 lines extending to the sides, and parallel to them, will be equal. 10. To construct a square, having a given...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866 - 336 páginas
...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 circles cut each other, the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 páginas
...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, to find a point from...
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An elementary treatise on quaternions

Peter Guthrie Tait - 1867 - 364 páginas
...of any 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...the sides, any point in the base has the vector p = (l— For the required point which determines x. (1-3')Tc, = Hence the point lies on the line which...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 páginas
...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, to find a point from...
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