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" Any two sides of a triangle are together greater than the third side. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Pāgina 30
per Euclid, Robert Simson - 1806 - 518 pāgines
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pāgines
...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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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...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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A System of Logic: Comprising a Discussion of the Various Means of Acquiring ...

P. McGregor - 1862 - 469 pāgines
...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 Official Report of the ... Annual Meeting of the Church Congress, Held ...

1885
...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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Responsions

University of Oxford - 1863
...the rectangle contained by the whole and that part, together with the square on the other part. 6. Any two sides of a triangle are together greater than the third side. 7. If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Euclides - 1863
...there are more than three species of quantity, — a Lini a Surface, and a Solid. PKOP. 20. — THEOK. Any two sides of a triangle are together greater than the third side. Cos.— Pst. 2, P. 3, Pst. 1.— DEM.— P. 8, Ax. 9, P. 19. E. C. Hyp. Cone. 1. „ 2. „ 3. by Pst....
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Calendar

University of Sydney - 1906
...any formula for the roots of a quadratic. GEOMETRY. TWO HOURS AND A HALF. PAPER A. — (Eucm>.) 1. Any two sides of a triangle are together greater than the third. 2. If two triangles have two angles of the one equal to two angles of the other respectively and one...
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Symbolic Logic and Its Applications

Hugh MacColl - 1906 - 141 pāgines
...on lines not very dissimilar. A striking instance is Euclid's demonstration of the proposition that any two sides of a triangle are together greater than the third — a proposition which the Epicureans derided as patent even to asses, who always took the shortest...
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Annual Report of the Commissioners ..., Volum 73

1907
...sides and angles of a parallelogram are equal to one another ; and (2) the diagonal bisects it. 4. Any two sides of a triangle are together greater than the third side. SECTION B. 5. The base of an isosceles triangle is 54 feet, and each side is 45 feet. Find the length...
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School Grammar

William Henry Maxwell - 1907 - 317 pāgines
...put in the present tense even when the principal verb is in a past tense ; as, It was as true as that any two sides of a triangle are together greater than the third side. 2. When an infinitive or a participle refers to a time coincident with, or after, that of the verb...
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