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 Bøker Bok 31–40 av 150 på America, but know that we are alive, that two and two make four, and that the sum...
America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
A Course of Mathematics for the Use of Academies: As Well as Private Tuition - Side 287
av Charles Hutton - 1825
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## Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 283 sider
...supposition. The side AB, then, being neither equal to AC nor less than it, must necessarily be greater. Q- ED THEOREM x. The sum of any two sides of a triangle...side. Let ABC be a triangle : then will the sum of two of its sides, as AB+BC, be greater than the third side AC. For the straight line AC is the shortest...
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## Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1868 - 320 sider
...an isosceles triangle are produced, the two exterior angles formed with the base will be equal. 3. The sum of any two sides of a triangle is greater than the third side. 4. If from any point within a triangle two straight lines are drawn to the extremities of either side,...
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## Marks' First Lessons in Geometry: Objectively Presented

Bernhard Marks - 1869 - 157 sider
...«ind see if yon can go through it without a second reading : — DEMONSTRATION. We wish to prove that The sum of any two sides of a triangle is greater than the third side. Let the figure abc be a triangle, then will the sum of any two sides, as ac, cb, be greater than the third...
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## Elements of Geometry and Trigonometry: With Applications in Mensuration

1870 - 319 sider
...that the outward angle ABG,ot its equal CBD (Th. iii), is greater than the angle A. Of Triangles. _^__ THEOREM X. The sum of any two sides of a triangle...third side. Let ABC be a triangle : then will the scm of two of its sides, as AC, CB, be greater than the third side AB. For the straight line AB is...
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## Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1871 - 187 sider
...therefore equal in all their parts (I., D. 14 ); which was to be proved. PROPOSITION VII. THEOREM. The sum of any two sides of a triangle is greater...Let ABC be a triangle : then will the sum of any two sides, as AB, BC, be greater than the third side AC. For, the distance from A to C, measured on any...
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## A Treatise on Special Or Elementary Geometry, Volumer 1-2

Edward Olney - 1872
...than Ai/FB, and AdcdB shorter than McgB. Therefore, AbedB is shorter than ACDEFB. QED 274. COR. 1. — The sum of any two sides of a triangle is greater than the third side. This is the same as the axiom that the shortest distance between two points is a straight line. 2 To....
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## A Treatise on Special Or Elementary Geometry

Edward Olney - 1872 - 201 sider
...AJ/FB, and AicrfB shorter than McgB. Therefore, AbcdB is shorter than ACDEF'BQED 274. COR. 1.—The sum of any two sides of a triangle is greater than the third side. This is the same as the axiom that the shortest distance between two points is a straight Hue. 273....
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## Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

1874 - 455 sider
...are therefore equal in all their parts (I., D. 14) ; which was to be proved. PROPOSITION VH. THEOREM. The sum of any two sides of a triangle is greater than the third side. I Let AS C be a triangle : then will the sum of any two sides, as AS, SC, be greater than the third...
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## Elements Of Geometry And Trigonometry

Charles Davies - 1874
...was to be proved. PROPOSITION VH. THEOREM. Tf1e sum of any two sides of a triangle is greater than third side. Let ABC be a triangle : then will the sum of any two sides, as AB, BC, be greater than the third side AC. For, the distance from A to C, measured on any...
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## Manual of Geometry and Conic Sections: With Applications to Trigonometry and ...

William Guy Peck - 1876 - 366 sider
...obtuse•angled ; if all the angles are acute, the triangle is acute•angled. EFH . K PROPOSITION VI. THEOREM. The sum of any two sides of a triangle is greater than the third side. Let ACD be any triangle. The distance from A to D, measured on the broken line ACD, is greater than the...
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