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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

...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 ...

...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 ...

...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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