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Bøker Bok 110 av 110THE Difference of any Two Sides of a Triangle, is Less than the Third Side.
" THE Difference of any Two Sides of a Triangle, is Less than the Third Side. "
A Course of Mathematics ...: Composed for the Use of the Royal Military ... - Side 277
av Charles Hutton - 1811
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 sider
...sides AB and BC are together greater than the third AC. PROP. XVII. THEOR. The- difference between two sides of a triangle is less than the third side. Let the side AC be greater than AB, and from it cut off a part AE equal to AB ; the remainder EC is less...
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A Course of Mathematics ...: For the Use of Academies, as Well as ..., Volum 1

Charles Hutton - 1818
...and CB, taken together (by constr.) ; therefore AC 4- CB is also greater than AB. '; ED Carol. The shortest distance between two points, is a single...line drawn from the one point to the other. THEOREM X1. THE Difference of any Two Sides of a Triangle, is Less than the Third Side. Let ABC be a triangle...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - 1820 - 465 sider
...sides AB and BC are together greater than the third side AC. PROP. XV. THEOR. The difference between any two sides of a triangle is less than the third side. • Let the side AC be greater than AB, and from it cut off a part AE equal to AB ; the remainder EC is less...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...AC and CD, or AC and CB, taken together (by constr.) ; therefore AC+CB is also greater than AB. <(. ED Corol. The shortest distance between two points,...drawn from the one point to the other. THEOREM XI. THK Difference of any Two Sides of a Triangle, is Less than the Third Side. Let ABC be a triangle ;...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 576 sider
...limitation arises from a known geometrical problem, though it is not found in Muclid's " Elements;" viz. "The difference of any two sides of a triangle is less than the third side." PROS. 4. Giving the hypothenuse of aright-angled triangle, and the side of its inscribed square, to...
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The new practical builder, and workman's companion, Volum 2

Peter Nicholson - 1823
...KL, FL, FQ. Then, by hypothesis, the angle KML=fML, KM=/M, and LM is common, the base LK is =Li/; but the difference of any two sides of a triangle is less than the third ;* therefore FL — LK, or FL - L/, is less than FK, or F/, or FM -/M, or FQ -/Q. Hence/L is greater...
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Elements of arithmetic, algebra and geometry

George Lees - 1826 - 207 sider
...is less than the more remote ; there can be two equal lines, but there cannot be more than two. 5. The difference of any two sides of a triangle is less than the third side. 6. If, from the vertex of a triangle, two straight lines be drawn, one of which is perpendicular to...
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Euclid's Elements of geometry, transl. To which are added ..., Bøker 1-6

Euclides - 1826
...and the sides вс, CA, greater than AB. Therefore two sides of every triangle, &c. Deductions. 1. The difference of any two sides of a triangle is less than the third side. 2. Two sides of a triangle are together greater than twice the line from the vertex bisecting the base....
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid, Phillips - 1826 - 180 sider
...and the sides вс, CA, greater than AB. Therefore two sides of every triangle, &c. Deductions. 1 . The difference of any two sides of a triangle is less than the third side. 2. Two sides of a triangle are together greater thaa twice the line from the vertex bisecting the base....
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The First Six Books of the Elements of Euclid, with a Commentary and ...

Euclid, Dionysius Lardner - 1828 - 324 sider
...should be adopted as a geometrical axiom (55). (99) It follows immediately from this proposition, that the difference of any two sides of a triangle is less than the remaining side. For the sides AC and BC together are greater than AB ; let the side AC be taken from...
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