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" If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Pągina 36
per Euclides - 1877
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884
...quadrilateral is greater than the sum, and less than twice the sum of the diagonals. THEOR. 14. If from the ends of a side of a triangle two straight lines are drawn to a point within the triangle, these are together less than the two other sides of the triangle,...
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The elements of plane geometry, Volum 1

Mathematical association - 1884
...quadrilateral is greater than the sum, and less than twice the sum of the diagonals. THEOB. 14. If from the ends of a side of a triangle two straight lines are drawn to a point within the triangle, these are together less than the two other sides of the triangle,...
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The Practical Teacher, Volum 4

1885
...drawn. Prop. 2, Bk. I. 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...other two sides of the triangle, but shall contain я greater angle. Prop. 21, Bk. I. 3. Show that the vertex of an isosceles triangle and the intersections...
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Calendar of Dalhousie College and University

Dalhousie University - 1888
...TIME : THREE HOURS. 1. If from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. 2. Assuming the construction of the 47th proposition of the First Book of Euclid ; analyze the...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pągines
...PROPOSITION 21. THEOREM. If from the ends of a side of a triangle there be drawn two straight lines to a point 'within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. From the ends B, C of the side BC of the A ABC let the two st. lines BD. CD be drawn to a point...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...twice the triangle EKG. 5. If from the ends of a side of a triangle there be 7 drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. 6. If a straight line be bisected, and produced to any 11 point, the square on the whole line...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 400 pągines
...' distance ,' in that definition, could only mean shortest distance. Proposition 21. THEOREM — If from the ends of a side of a triangle two straight lines are drawn to a point within the triangle, the sum of them is less than the sum of the other two sides...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 pągines
...than the third side. 21. If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. 22. To make a triangle of which the sides shall be equal to three given straight lines, any...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding ..., Llibre 1

James Andrew Blaikie, William Thomson - 1891
...opposite to the other. 20. Any two sides of a triangle are together greater than the third side. 21. If from the ends of a side of a triangle two straight...lines be drawn to a point within the triangle, these two straight lines shall be together less than the other two sides of the triangle, but they shall...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 pągines
...triangle, there be drawn (wo straight lines to a point within the triangle, then these straight lines shall be less than the other two sides of the triangle, but shall contain a greater angle. A BC Let ABC be a triangle, and from B, C, the ends of the side BC, let the two straight lines...
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