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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
geredigeerd door - 1860
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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...of the triangle, but shall contain a greater angle. Let the two straight lines BD, CD be drawn from B, C, the ends of the side BC of the triangle ABC,...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 pagina’s
...THIS PAPER.) Section I. 1. If from the ends of the sides of a triangle there he 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 angled 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, Boek 1

Euclides - 1853
...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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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...ADr=BA+ AC, .'. BA+AC is greater than BC. Therefore any two sides, &c. QED PROPOSITION XXI.— THEOREM. If from the ends of a side of a triangle there be drawn two straight lines (BD, CD) to a point within the triangle, these shall be together less-titan the other two sides (AB,...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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 - 1856 - 184 pagina’s
...the base, equal to 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...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
...extremity of the base, equal 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...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
...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 drawn two straight lines...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
...sides equal to them, of the other. 2. The greater side of every 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 be less than the other two sides of the triangle,...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...B C. XXII.— EUCLID 1. 21. If from the ends of the sides of a triangle two straight lines be drawn to a point within the triangle, these shall be less than the other sides of the triangle, but shall include a greater angle. Let the two straight lines BD, CD (Pig. 15)...
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