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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. "
Euclid, book i., propositions i. to xxvi., with exercises and alternative ... - Pągina 36
per Euclides - 1877
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 178 pągines
...PROPOSITION XXI. — THEOREM. If from Hie ends of the side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall 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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pągines
...PROPOSITION XXI. THEOR. 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...sides 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...
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Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 522 pągines
...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...sides 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...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pągines
...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...sides 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...
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Manual of Method for the use of teachers in elementary schools

W F. Richards - 1856 - 198 pągines
...the other extremity. 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides 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,...
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National Society's Monthly Paper

1856 - 376 pągines
...the other extremity. 2. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides 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,...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pągines
...adjacent sides, are greater than the third side 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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pągines
...interior opposite angles. 4. 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 aides of the triangle, but shall contain a greater angle. 5. If a straight line fall upon two parallel...
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Parliamentary Papers, Volum 25

Great Britain. Parliament. House of Commons - 1858 - 694 pągines
...postulates. 2. PKOP. XXI. — If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. 3. PKOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volum 3

1858 - 398 pągines
...postulates. 2. Pitor. XXI. — If from the ends of a sido of a triangle there be drawn two straight lines to a point within the triangle, these shall be less...sides of the triangle, but shall contain a greater angle. 3. PJSOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the...
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