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Bøker Bok 5160 av 154America, 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 Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1885 - 512 sider
...are therefore equal in all respects (I., D. 15) ; 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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The Realistic Assumptions of Modern Science Examined

Thomas Martin Herbert - 1886 - 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.'1 In the example of belief given by Mr. Mill, ' we believe that there is a continent of America,'...
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Calendar of Dalhousie College and University

Dalhousie University - 1889
............................. C. MACDONALD, MA (For Matriculation.) GEOMETRY AND ALGEBRA TIME : THREE HOURS. 1. The sum of any two sides of a triangle is greater than the third eide. 2. Either diagonal of a parallelogram divides it into two triangles equal in every respect. 3....
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Principles of Plane Geometry

James Wallace Macdonald - 1894 - 65 sider
...right angle. 4. A line bisecting one of two vertical angles will, if continued, bisect the other. 5 . The sum of any two sides of a triangle is greater than the sum of any two lines drawn from any point in the triangle to the extremities of the third side. 6....
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Principles of Plane Geometry

James Wallace MacDonald - 1889 - 63 sider
...right angle. 4. A line bisecting one of two vertical angles will, if continued, bisect the other. 5. The sum of any two sides of a triangle is greater than the sum of any two lines drawn from any point in the triangle to the extremities of the third side. 6....
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 sider
...Conclusion : ABC being any triangle, and AB and AC being any two sides, it follows, in general, that : The sum of any two sides of a triangle is greater than the third side, and the difference between any two sides is less than the third side. PROPOSITION XII. 146. Theorem...
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 657 sider
...bisecting the vertical angle : prove that the greater part is adjacent to the greater side. PROPOSITION 20. The sum of any two sides of a triangle is greater than the third side. Let ABC be a triangle : it is required to prove that the sum of any two sides of it is greater than the third side; namely,...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 sider
...assuming the theorem untrue, and endeavor to show the absurdity. (Reductio ad absurdum.} Theorem 8. The sum of any two sides of a triangle is greater than the third side. Given the A ABC. To prove that a + b> c. Proof. 1. Suppose /_ C bisected by CD. 2. ThenZCDA>ZDCB. Th....
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 sider
...without the assump- y<_ tion. Now reverse the process ; v Z b > Z a, OBA .'. PA>PBbyth. 7. Theorem 8. The sum of any two sides of a triangle is greater than the third side. Given the A ABC. To prove that a + b > c. Proof. 1. Suppose ZC bisected by CD. 2. ThenZCDA>Z DCB. Th....
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Calendar ...

University College, Galway - 1898
...5 — + — =9' 5. Find the HCF of 27s3 - 39zs + 23* - 7 and 135z3 - 114*" - 2* + 7. 7. Prove that the sum of any two sides of a triangle is greater than the third side. 8. Divide a straight line so that the rectangle contained by the whole and one part may be equal to...
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