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" Any two sides of a triangle are together greater than the third side. "
Elements of Euclid Adapted to Modern Methods in Geometry - Page 30
by Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 216 pages
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 332 pages
...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, but the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...pass through the point A, let it fall otherwise, if possible, as FGDH, and join AF, AG. Then, because two sides of a triangle are together greater than the third side, (l. 20.) therefore FG, GA are greater than FA : but FA is equal to FH; (I. def. 15.) therefore FG,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...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 pages
...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 school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...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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The Official Report of the ... Annual Meeting of the Church Congress, Held ...

Church and social problems - 1885 - 676 pages
...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 - Logic - 1862 - 498 pages
...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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Symbolic Logic and Its Applications

Hugh MacColl - Logic, Symbolic and mathematical - 1906 - 168 pages
...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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Calendar of the University of Sydney

University of Sydney - 1906 - 738 pages
...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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Annual Report of the Commissioners ..., Volume 73

1907 - 608 pages
...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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