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Any two sides of a triangle are together greater than the third side.
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Página 30
por Robert Simson - 1806 - 518 páginas
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## Harrison's monthly collection [Formerly The monthly collection of tales. Ed ...

708 páginas
...height of the fixed stars ? Is this what you really mean to assert to be as demonstrably true as that any two sides of a triangle are together greater than the third side ? Every mathematician would answer — it is : nay, more, that this very curve would carry a body from...
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## The Phoenix; Or, Lucubrations of the Nights of St. John

1839 - 92 páginas
...day passed on tolerably smoothly with one exception, that when the doctor (arguing very soundly that any two sides of a triangle are together greater than the third side) was taking a shorter cut across a field, his career was stopped about midway by his horse inserting...
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## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 páginas
...or subtending the greater angle is greater than the side opposite the less angle. PROP. XX. THEOR. Any two sides of a triangle are together greater than the third side. COR..—Hence the difference between any two sides of a triangle is less than the third side. • '•'.>...
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## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...equal to AB; therefore AC is greater than AB. Wherefore the greater angle, &c. QED PROP. XX. THEOR. Any two sides of a triangle are together greater than...Let ABC be a triangle: any two sides of it together shall be greater than the third side, viz. the sides BA, AC greater than the side BC; and AB, BC greater...
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## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 páginas
...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 - 332 páginas
...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, Volumen2

Chambers W. and R., ltd - 1842 - 744 páginas
...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, Volumen2

...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 - 168 páginas
...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 ..., Volumen2

Charles Hutton - 1843 - 570 páginas
...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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