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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 ... - Pągina 30
per Euclid, Robert Simson - 1806 - 518 pągines
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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 pągines
...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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## Euclid's plane geometry, practically applied; book i, with explanatory notes ...

Henry Green - 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 pągines
...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

...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 pągines
...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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## Calendar, Part 1

University of Calcutta - 1907
...of a triangle are unequal, the greater side has the greater angle opposite to it ; and the converse. Any two sides of a triangle are together greater than the third. Of all the straight tines that can be drawn to a given straight line from a given point outside it,...
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## A School Course of Mathematics

David Mair - 1907 - 379 pągines
...justify your rule. The rule is important enough to be called a proposition, and may be stated thus: — Any two sides of a triangle are together greater than the third. 5. Points of the Compass. The terms north and east have been used. How do you know which direction...
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## The Grammar of Philosophy: A Study of Scientific Method

David Graham - 1908 - 383 pągines
...time coming ; whilst, on the other hand, a single demonstration of any necessary truth — say that " any two sides of a triangle are together greater than the third side," or the simple proposition that " lying is base," 1 Reid : Works, p. 441. 2 Hamilton : Lectures, vol....
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