 | John Stuart Mill - Philosophy - 1865 - 578 pages
...is a Continent of America, but know that we are ah" ve, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side. This is a distinction of practical value : but in Sir W. Hamilton's use of the term, it is the intuitive... | |
 | John Stuart Mill - Knowledge, Theory of - 1865 - 342 pages
...is a Continent of America, but knowthat 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. This is a distinction of practical value ; but in Sir W. Hamilton's use of the term, it is the intuitive... | |
 | John Stuart Mill - Knowledge, Theory of - 1865 - 332 pages
...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. This is a distinction of practical value ; but in Sir W. Hamilton's use of the term, it is the intuitive... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...then, being neither equal to AC nor less than it, must necessarily be greater. QED THEOREM X. The sum of any two sides of a triangle is greater than the...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 distance between... | |
 | C. Davies - 1867 - 342 pages
...any two sides of a triangle is greater than t/te third sideLet ABC be a triangle : then will the rem of two of its sides, as AC, CB, be greater than the third side AB• ' • • • j For the straight line AB is the shortest distance between the two points A and B (Ax-... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...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,... | |
 | Bernhard Marks - Geometry - 1869 - 170 pages
...if you 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... | |
 | Charles Davies - Geometry - 1870 - 392 pages
...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 is greater than the 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... | |
 | Adrien Marie Legendre - Geometry - 1871 - 490 pages
...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 than the...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... | |
 | Edward Olney - 1872 - 270 pages
...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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The sum of any two sides of a triangle, is greater than the third side. 
