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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 Elements of Euclid; viz. the first six books, together with the eleventh ... - Page 16
by Euclides - 1814
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...greater than CA, and BC, CA greater than AB. Therefore any two sides, etc. QED PROPOSITION XXI. THEOR. If from the ends of the side of a triangle there be drawn...two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC, to the point D within it ; BD and DC are less than the other...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...С a greater than a b. Therefore any two sides, ˇfee. QED PROPOSITION XXI. — THEOREM. If from Hie ends of the side of a triangle there be drawn two...contain a greater angle. LET the two straight lines bd, С d be drawn from b, С, the ends of the side b С of the triangle ab С, to the point d within it...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - Church and education - 1853 - 554 pages
...THIS PAPER.) Section I. 1. If from the ends of the sides of a triangle there be drawn a straight line to a point within the triangle, these shall be less...of the triangle, but shall contain a greater angle. 2. In any right singled triangle, the square which is described on the side subtending the right angle...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...together greater than the third. Which was to be proved. PEOP. XXI. THEOE. If from the extremities of any side of a triangle there be drawn two straight lines to a point within the triangle : then these two straight lines shall together be less than the other two sides of the triangle, and...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...of a triangle, there be drawn two straight linen to a point within the triangle, these tti'D lines shall be less than the other two sides of the triangle, but shall contain a greater angle. Produce BD to E; and because two sides of a triangle (20. 1.) are greater than the third side, the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...same points to any other point in the given straight line. PROP. XXI. THEOREM. If from the ends of one side of a triangle, there be drawn two straight lines to a point within the triangle, these together shall be less than tfte other two sides of the triangle, but shall contain a greater angle....
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Manual of Method for the use of teachers in elementary schools

W F. Richards - Elementary school teaching - 1856 - 198 pages
...one another, and likewise those which are terminated in the other extremity. 2. 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. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one...
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National Society's Monthly Paper

1856 - 376 pages
...to another, and likewise those which are terminated in the other extremity. 2. 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. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, and one...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. If from the ends of the side of a triangle, there be...the triangle, these shall be less than the other two aides of the triangle, but shall contain a greater angle. 5. If a straight line fall upon two parallel...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...triangle subtends the greater angle. 3. If from the ends of a side of a triangle, there be drawn two right lines to a point within the triangle, these shall...of the triangle, but shall contain a greater angle. •1. If a right line falling upon two other right lines, make the exterior angle equal to the interior...
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