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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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The Geometrical Companion: In which the Elements of Abstract Geometry are ...

George Darley - 1828 - 169 páginas
...the side which the sparrow has to fly in proportion to that which it has to fly itself. ART. 43. " Any two sides of a triangle are together greater than the third sidr." As I have observed before, we often, without knowing an angle from a triangle, give an involuntary...
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Self-examinations in Euclid

John Martin Frederick Wright - 1829 - 188 páginas
...= two right angles; .-. angles A, ABC are together < than two right angles. PROP. XX. 56. To prove that ' any two sides of a triangle are together greater than the third side,' what is the general construction ? From the point where they meet, produce either of the two...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 186 páginas
...AB; therefore AC is greater than AB. Wherefore, the greater angle &c. QED 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 are together greater than the third side, namely,...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 páginas
...not the case. Therefore AB cannot but be greater than A C. Therefore, &c. PROP. 1 0. (Eue. i. 20.) Any two sides of a triangle are together greater than the third side : and any side of a triangle is greater than the difference of the other two. Let А В С be...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - 1833 - 150 páginas
...obtuse angle is the greatest. tI.I7.Cor.2. For the angle ist the greatest. 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 D it are together greater than the third side ; viz....
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Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...is not the case. Therefore AB cannot but be greater than A C. Therefore, &c. PROP. 10. (Eue. L 20.) Any two sides of a triangle are together greater than the third side : and any side of a triangle is greater than the difference of the other two. Let А В С be...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 páginas
...angle of every triangle is subtended by the greater side, or has the greater side opposite to it. XX. Any two sides of a triangle are together greater than the third side. XXI. If from the ends of one side of a triangle, there be drawn two straight lines to a point...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 128 páginas
...side opposite to that greater side is greater than the side opposite to the lesser, ibid. ART. 43. Any two sides of a triangle are together greater than the third side, 31. ART. 44. If two triangles have two sides of the one equal respectively to two sides of the...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 páginas
...is not equal toAB: therefore AC is greater than A B. Wherefore, if two angles, &c. PROP. XX. THEOR. ANY two sides of a triangle are together greater than the third side. 8 Let ABC be a triangle ; any two sides of it are together greater than the third side. Produce...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 páginas
...to the greater angle. 13. In every triangle the greater angle is subtended by the greater side. 14. Any two sides of a triangle are together greater than the third side. 15. The difference between any two sides of a triangle is less than the third side. 16. The three...
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