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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 first six books of the Elements of Euclid, with numerous exercises - Seite 15
von Euclides - 1853 - 147 Seiten
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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...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, to the point D within it ; BD and...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...BC, CA, are greater than AB. Therefore any two sides, &c. QED PROP. XXI. — THEOKEM. If from, the ends of the side of a triangle, there be drawn two...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, to the point D within it ; BD...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 Seiten
...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. A New ..., Bücher 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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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 Seiten
...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
...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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National Society's Monthly Paper

1856
...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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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 Seiten
...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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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 drawn two...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
...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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