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" Any two sides of a triangle are together greater than the third side. "
Proceedings of the Edinburgh Mathematical Society - Página 9
por Edinburgh Mathematical Society - 1894
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Some account of the origin and objects of the new Oxford examinations for ...

sir Thomas Dyke Acland (11th bart.) - 1858
...straight line. What figure would be formed by placing two equilateral triangles base to base ? 31. Prove that any two sides of a triangle are together greater than the third side. Is the same proposition true of the angles of a triangle? Give reasons for your answer. 32. Prove...
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A Dictionary of Photography

Thomas Sutton - 1858 - 423 páginas
...Petzval's arrangement ; for it appears that CO is greater than Cm. The proof of this is easy enough. Any two sides of a triangle are, together, greater than the third, therefore OC and CA are together greater than AO, and therefore than Km. Take away the common part...
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Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 234 páginas
...difference. Let two circumferences cut each other in the point A. Draw the radii CA, DA ; then, because any two sides of a triangle are together greater than the third side (Prop. VIII., B. I.), CD must be less than the sum of AD and AC. Also, DA must be less than the...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...given difference A D. The figure ABC therefore is the triangle required. PROP. 20.— THEOR. side. Any two sides of a triangle are together greater than the third CONSTRUCTION. — Pst. 2. A st. line may be lengthened out in a st. line. P. 3. From the greater line...
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National Society's Monthly Paper

1858
...plane rectilineal angle, and show how to bisect one, that is, to divide it into two equal angles. 2. Any two sides of a triangle are together greater than the third side. Is the same proposition true of the angles of a triangle? 3. What is a parallelogram? Prove that...
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Photographic notes and journal of the Manchester photographic society ...

Thomas Sutton - 1858
...Petzval's arrangement ; for it appears that С 1 is greater than С m. The proof of this is easy enough. Any two sides of a triangle are, together, greater than the third, therefore 1 С and С A are together greater than A 1, and therefore than A m. Take away the common...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859
...the sides also which subtend, or are opposite to the equal angles, shall be equal to one another. 4. Any two sides of a triangle are together greater than the third side. The difference of any two sides of a triangle is always less than the third side. 5. The three...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 páginas
...hour-and-a-half after the rider. What is the distance between the two places ? EUCLID, B. 1, 2, 3. 1. Any two sides of a triangle are together greater than the third. 2. The straight lines which join the extremities of equal and parallel straight lines toward the same...
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Elements of Geometry and Mensuration: With Easy Exercises, Designed for ...

Thomas Lund - 1859 - 362 páginas
...angles. COB. Hence no triangle can have more than one right angle, or one obtuse angle. 38. PROP. XVI. Any two sides of a triangle are together greater than the third side. Qlf this be not evident from the fact that the straight line joining any two points is less than...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...AB ; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROPOSITION XX. THEOREM. Any two sides of a triangle are together greater than the third side. Let ABChe a triangle. Hen any two sides of it together shall be greater than the third side,...
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