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" Any two sides of a triangle are together greater than the third side. "
Lectures on Metaphysics and Logic - Página 112
por Sir William Hamilton - 1860 - 510 páginas
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Elements of Geometry and Mensuration: With Easy Exercises, Designed for ...

Thomas Lund - 1859 - 390 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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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859 - 414 páginas
...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 - 672 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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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 páginas
...Kidsummer, 1863. WEDNESDAY, July 15th,— Morning, 12 to 2. GEOMETRY. Examiner — THE REV. G. FEOST, MA 1. Any two sides of a triangle are together greater than the third side. 2. If two triangles have two sides of the one equal to two sides of the other, each to each,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 páginas
...velocity. How high does it then ascend 1 MATHEMATICS. Afternoon Paper. REV. WN GRIFFIN, MA EUCLID. 1. Any two sides of a triangle are together greater than the third. 2. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to...
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861 - 260 páginas
...that there is a white ball at each end ? MATHEMATICS. Voluntary Paper, No. II. REV. WN GRIFFIN, MA 1. Any two sides of a triangle are together greater than the third. 2. To divide a given straight line into two parts so that the rectangle contained by the whole and...
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The Official Report of the ... Annual Meeting of the Church Congress, Held ...

1885 - 676 páginas
...nearer the reality of things, when, through the education of my intuition of space, I perceive that any two sides of a triangle are together greater than the third, than the brute is, who by blind impulse makes straight for his prey — so long as I believe, in the...
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A System of Logic: Comprising a Discussion of the Various Means of Acquiring ...

P. McGregor - 1862 - 498 páginas
...might do so. 41. A straight line is the shortest that can be drawn from one point to another. Hence any two sides of a triangle are together greater than the third. 42. Straight lines which intersect or cut one another, lie in different directions, and diverge indefinitely,...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 páginas
...to AB ; therefore AC Is greater than AB. Wherefore, in any triangle, &c. QED PROP. XX. — THEOREM. Any two sides of a triangle are together greater than the third side. (Eeferences — Prop. i. 3, 5, 19 ; ax. 9.) Let ABC be a triangle. Then any two sides of it together...
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