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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... "
Guide to the three services: civil, naval, and military - Pagina 108
door John Paxton Hall - 1860
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The Practical Teacher, Volume 4

1885
...produced, show by diagrams 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...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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Annual Report of the Chief Superintendent of Education

1885
...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 drawn two 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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Senate Documents, Otherwise Publ. as Public Documents and ..., Volume 3

United States. Congress. Senate - 1880
...possible, by mean« of Euclid's constructions, to divide a right angle t 'i- If from the ends of the side of a triangle there be drawn two 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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Calendar of Dalhousie College and University

Dalhousie University - 1888
...MACDONALD, MA GEOMETRY AND ALGEBRA. (Matriculation in Arts.) TIME : THREE HOURS. 1. If from the ends of the side of a triangle, there be drawn two straight lines...of the triangle, but shall contain a greater angle. 2. If a straight line falling on two others make either (1) th« alternate angles equal ; or (2) the...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pagina’s
...perimeter is greater than 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...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
...KG : prove the parallelogram JM, less the parallelogram HL, is equal to 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 than 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 pagina’s
...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 drawn two straight lines...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 pagina’s
...this ? 10. Prove 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...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
...Prove that case of Euclid 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...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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 pagina’s
...and CB, BA are together greater than AC. QE n. [For Exercises see page 38.J PROPOSITION 21. THEOREM. If from the ends of a side of a triangle, there be drawn (wo straight lines to a point within the triangle, then these straight lines shall be less than the...
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