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" 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 than the other two sides of the triangle, but shall contain a greater angle. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 26
av Euclid - 1810 - 518 sider
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Annual Report of the Chief Superintendent of Education

1885
...(1) and (2) are not to be worked by male candidates. II. [15] GEOMETRY. Time, 1 luour 30 min. ]. It from the ends of the side of a triangle, there be...straight lines to a point within the triangle ; these will be together less than the other sides of the triangle, but will contain a greater angle. -. If...
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Calendar of Dalhousie College and University

Dalhousie University - 1888
...proportion of 5 ; 4. Find their scores. GEOMETRY. (Exhibitions and Bursaries.} TIME : THREE HOURS. 1. If from the ends of the side of a triangle, there...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 proof...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...two.thirds of the sum of the three diagonals AD, BE, CF. PROPOSITION 21. THEOREM. If from the ends of a side of a triangle there be drawn two straight lines...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 D within...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...greater angle of every triangle is subtended 1 greater side, or has the greater side opposite to it. 5. If from the ends of the side of a triangle there be two straight lines to a point within the triangle, these sh less than the other two sides of the triangle,...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...greater side opposite it. 20. Any two sides of a triangle are together greater than the third side. 21. If from the ends of the side of a triangle there be...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 two of...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - 1892 - 167 sider
...Proposition 20 by bisecting one of the angles. [See XXI. 10.] Proposition 21. 101. If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle, then I. these straight lines together shall be less than the two sides of the triangle together, and...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892
...I. 7, where the vertex of each triangle is without the other triangle. 17 5. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, then these straight lines shall be less than the other two sides of the triangle. 20 6. If two triangles...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 504 sider
...point such that the difference of its distances from two fixed points is a maximum. PROPOSITION 21. If from the ends of the side of a triangle there be...two straight lines to a point within the triangle, the sum of these lines is less than the sum of the other two sides of the triangle, but they contain...
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 657 sider
...point such that the difference of its distances from two fixed points is a msximum. PROPOSITION 21. If from the ends of the side of a triangle there be...two straight lines to a point within the triangle, the sum of these lines is less than the sum of the other two sides of the triangle, but they contain...
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Competition for Situations as Assistant in the British Museum: And ...

Great Britain. Civil Service Commission - 1896 - 96 sider
...sequence of propositions. 1. From a given point to dra,wa straight line equal to a given straight line. 2. If from the ends of the side of a triangle there be...point within the triangle, these shall be less than i he other two sides of the triangle, but shall contain a greater angle, Prove that the sum of the...
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