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ANY two sides of a triangle are together greater than the third side.
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Pągina 33
per John Playfair - 1832 - 333 pągines
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## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...equal to AB ; therefore AC is greater than лB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. Let ABC be a triangle; any two sides of it together,...side, viz. the sides BA, AC greater than the side вc ; and AB, вc greater than AC ; and вc, c A greater than AB. Produce BA indefinitely, and make(3....
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## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 pągines
...has been shewn that *-' it is not equal to AB ; therefore AC is greater than AB. PROP. XX. THEOR. • Any two sides of a triangle are together greater than...Let ABC be a triangle ; any two sides of it together arc greater than the third side, viz. the sides BA, AC greater than the side BC ; and AB, . BC greater...
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## Chambers's information for the people, ed. by W. and R. Chambers

Chambers W. and R., ltd - 1842
...A proposition is first stated in general terms : take, for instance, the 20th proposition — '• Any two sides of a triangle are together greater than the third side." This is but bare assertion : to advance a step farther, Euclid places the figure referred to, namely,...
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## Chambers's Information for the People, Volum 2

...to, namely, a triangle, before the student, and tells him that, in the annexed triangle, namely, ABC, any two sides of it together are greater than the third side ; that is to say, the sides ВЛ, AC, are together greater than the one side BC ; the sides AB,BC,aregreaterthanAC;and...
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## Lectures on the Principles of Demonstrative Mathematics

Philip Kelland - 1843 - 147 pągines
...theorems of Euclid's first Element. I can compel your assent to the truth of the proposition, that " any two sides of a triangle are together greater than the third side ;" and this without requiring from you any notion of a straight line at all. But I must stop here....
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## A Course of Mathematics: In Two Volumes. Composed for the Use of ..., Volum 2

Charles Hutton - 1843
...Prove by means of the equations that connect the sides and angles of a spherical triangle, that (1.) Any two sides of a triangle are together greater than the third. (2.) The difference of two sides is less than the third. (3.) If three sides of a triangle be equal...
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## The British Annals of Education for ...: Being The Scholastic ..., Volum 1

1844
...sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 3. Any two sides of a triangle are together greater than the third side. 4. The straight lines which join the extremities of two equal and parallel straight lines towards the...
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## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pągines
...; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROPOSITION XX. THEOR. — Any two sides of a triangle are together greater than...side, viz. the sides BA, AC greater than the side BC ; and AB, BC greater than AC ; and BC, CA greater than AB. Produce BA to the point D, and make * AD...
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## Proceedings, Volum 10,Edició 1878

...: — That the greater side of every triangle has the greater angl* opposite, and conversely. That any two sides of a triangle are together greater than the third side. Also Euclid I. 21. Euclid I. 24 and 25. Euclid I. 26 (the second part). Also the usual propositions...
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## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...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, (i. 20.) therefore FG, GA are greater than FA : but FA is equal to FH ; (i. def. 15.) therefore FG,...
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