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" Any two sides of a triangle are together greater than the third side. "
Proceedings of the Edinburgh Mathematical Society - Página 9
por Edinburgh Mathematical Society - 1894
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...has been shown that it is not equal to AB ; therefore AC is greater than AB. PROPOSITION XX. THEOREM. Any two sides of a triangle are together greater than the third side. Let ABC be a triangle ; any two sides of it together are greater than the third side; namely,...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 páginas
...AC cannot be = AB, 2. that AC cannot be < AB, 3. that :. AC must be > AB. PROPOSITION XX. Theorem. Any two sides of a triangle are together greater than the third. BC Steps of the Demonstration. 1. Prove that Z ADC = Z ACD, 2. that Z BCD > Z ACD, 3. that .'. DB >...
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Harrison's monthly collection [Formerly The monthly collection of ..., Volumen1

...the 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...
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A complete treatise on Practical Land-Surveying, etc

Thomas Holliday - 1838 - 80 páginas
...perpendicular to the base. A scalene triangle has all its sides and angles unequal. See fig. 7. Note 1. Any two sides of a triangle are together greater than the third side. 2. The greatest side of every triangle is opposite the greatest angle; and the greatest angle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 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 the third side. * Let ABC be a triangle ; any two sides of it together are greater than the third side, viz....
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The Phoenix; Or, Lucubrations of the Nights of St. John

1839
...The 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
...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 - 351 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 the third side. Let ABC be a triangle: any two sides of it together shall be greater than the third side, viz....
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Chambers's information for the people, ed. by W. and R. Chambers, Volumen2

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,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 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 the third side. Let ABC be a triangle ; any two sides of it together arc greater than the third side, viz. the...
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