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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 - Σελίδα 15
των Euclides - 1853 - 147 σελίδες
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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...

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...

Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 σελίδες
...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...

The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New ..., Βιβλίο 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...

Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 σελίδες
...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...

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....

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...

Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 σελίδες
...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...

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...

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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