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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 examination papers as set for the preliminary literary examination of ... - Σελίδα 6
των Royal college of surgeons of England - 1860
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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 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,...

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...

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,...

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....

Manual of Method for the use of teachers in elementary schools

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

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...

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...

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,...

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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