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Bøker Bok 4150 av 152America, 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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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. PROPOSITION VI. THEOREM. TJie 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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A Treatise on Special Or Elementary Geometry

Edward Olney - 1877 - 528 sider
...than AJ/FB, and McdB shorter than AbcgB. Therefore, McdB is shorter than ACDEFB. QBD . 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. 273....
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877
...a straight line two equal straight lines can be drawn to the line, but only two. 5. The difference of any two sides of a triangle is greater than the third side. PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles. Let...
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The Realistic Assumptions of Modern Science Examined

Thomas Martin Herbert - 1879 - 460 sider
...there is a continent of 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.' l In the example of belief given by Mr. Mill, 'we believe that there is a continent of America,' the...
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The Realistic Assumptions of Modern Science Examined

Thomas Martin Herbert - 1879 - 460 sider
...there is a continent of 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.' l In the example of belief given by Mr. Mill, ' we believe that there is a continent of America,' the...
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Elementary Geometry: Congruent Figures

Olaus Henrici - 1879 - 188 sider
...less than the sum of the sides (or perimeter) of the triangle, but greater than half that sum. (n) The sum of any two sides of a triangle is greater than twice the concurrent median line. (12) The sum of the three median lines of a triangle is less than...
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A Geometry for Beginners

George Anthony Hill - 1880 - 314 sider
...named. 3. What six parts has every triangle ? 4. Distinguish between exterior and interior angles. 5. The sum of any two sides of a triangle is greater than the third side. (5. Defme equilateral, isosceles, and scalene triangles. 7. Define the terms base, •vertex, and altitude....
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Metrical Geometry: An Elementary Treatise on Mensuration

George Bruce Halsted - 1881 - 232 sider
...points is constant, is a straight line perpendicular to that which joins the two fixed points. 18. The sum of any two sides of a triangle is greater than twice the concurrent medial. 19. In every quadrilateral the sum of the squares of the four sides exceeds...
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The papers set at the professional preliminary examination

College of preceptors - 1882
...an isosceles triangle. Prove that the angles at the base of such a triangle are equal. 2. Prove that the sum of any two sides of a triangle is greater than the third side. Enunciate a corresponding result for the difference of two sides of a triangle and the third side....
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...can be drawn to the four angles from any other point except the intersection of the diagonals. 13. The sum of any two sides of a triangle is greater than twice the median * drawn to the third side, and the excess of this sum over the third side is less...
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