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 Bøker Bok 1–10 av 118 på AB>AC-BC: that is, the difference of any two sides of a triangle is less than the... AB>AC-BC: that is, the difference of any two sides of a triangle is less than the third side. A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Side 287
av Charles Hutton - 1825
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822
...it, must necessarily be greater, o.. ED THEOREM X. THE Sum of any Two Sides of a Triangle is Greater than the Third Side. Let ABC be a triangle ; then will the . lum of .ny two of its side* be greater than the third side, as for instances, AC -J-cB greater than...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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....
Uten tilgangsbegrensning - Om denne boken ## 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....
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - 1836 - 344 sider
...any two of its sides be greater than the third side; as, for instance, AC + CB greater than AB. 1 1. Let ABC be a triangle ; then will the difference of...sides, as AB — AC, be less than the third side BC. 12. Let the line EF cut the two parallel lines AB, CD; then will the angle AEF be equal to the alternate...
Uten tilgangsbegrensning - Om denne boken