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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. Let the two straight lines BD. "
Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 20
by Euclid - 1845 - 199 pages
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The Practical Teacher, Volume 4

Education - 1885 - 630 pages
...that there are several ways in which the line may be drawn. Prop. 2, Bk. I. 2. If from the ends of a side of a triangle there be drawn two straight lines...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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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - United States - 1880 - 1302 pages
...Into how many parts is it possible, by meanę of Euclid's constructions, to divide a right angle t 'i- If from the ends of the side of a triangle there be...straight lines to a point within the triangle, these straight lines shall be less than the other two sides of thr triangle. A triangle and a quadrilateral,...
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Annual Report of the Chief Superintendent of Education

1885 - 608 pages
...(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 - 212 pages
...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 - 538 pages
...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 - Education - 1890 - 530 pages
...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 - Euclid's Elements - 1891 - 102 pages
...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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...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 BD,...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 506 pages
...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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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 184 pages
...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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