 | University College, Galway - 1898 - 448 pages
...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... | |
 | George Chrystal - Algebra - 1898 - 480 pages
...the hypotenuse, that side is | of the other side. 6. Deduce from the theorem c3= a2 + 62 + Zlix that the sum of any two sides of a triangle is greater than the third, and their difference less. * See Henrici, Art. "Geometry," Encydopaxlia Britannica, 9th ed. vol. xp... | |
 | George Chrystal - Algebra - 1898 - 476 pages
...the hypotenuse, that side is £ of the other side. 6. Deduce from the theorem <? = a? + 62 + 2bx that the sum of any two sides of a triangle is greater than the third, and their difference less. * See Henrici, Art. "Geometry," Encyclopaedia Britannica, 9th ed. vol. xp... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...ABC which joins the points A and C. That is, AC is less than AB + BC. Therefore, etc. QED 125. Cor. The sum of any two sides of a triangle is greater than the third side. Ex. 65. May a triangle be formed with lines 4, 2, and 3 inches long ? With lines 6, 1, and 2 inches... | |
 | William James Milne - Geometry - 1899 - 404 pages
...ABC which joins the points A and C. That is, AC is less than AB + BC. Therefore, etc. QED 125. Cor. The sum of any two sides of a triangle is greater than the third side. Ex. 65. May a triangle be formed with lines 4, 2, and 3 inches long ? With lines 6, 1, and 2 inches... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...figure on p. 28), it is often better to say : PLANE GEOMETRY. [BK. I. PROPOSITION VIII. 75. Theorem. The sum of any two sides of a triangle is greater than the third side. Given the A AB C. To prove that Proof. 1. Suppose Then 2. And a-\-b > c. ZC bisected by CD. Z CD A... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 400 pages
...isosceles triangle ABC " (see figure on p. 28), it is often better to say: PROPOSITION VIII. 75. Theorem. 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 Z. C bisected by CD. Then Z CD A > Z.DCB.... | |
 | Euclid - Geometry - 1901 - 672 pages
...them are together greater than the third, we have to remark that it has already been demonstrated that the sum of any two sides of a triangle is greater than the third side. It is therefore that the two circles cut each other. If the sum of A and В be not greater than J,... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...must not violate Euclid's sequence of propositions. Great importance will be attached to accuracy.] 1. The sum of any two sides of a triangle is greater than the third side, and their difference is less than the third side. 2. If two quadrilaterals ABCD, EFGH have the four... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...of the sides are called the medial lines or medians of the triangle. PROPOSITION XVI. — THEOREM. The sum of any two sides of a triangle is greater than the third side, and their difference is less than the third side. Given. — Let ABC be a triangle. To Prove. — We... | |
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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. 
