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Bøker Bok 6170 av 155America, 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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Introduction to Algebra: For the Use of Secondary Schools and Technical Colleges

George Chrystal - 1898 - 412 sider
...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...
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Introduction to Algebra: For the Use of Secondary Schools and Technical Colleges

George Chrystal - 1898 - 412 sider
...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...
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Plane Geometry

William James Milne - 1899 - 242 sider
...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...
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Plane and Solid Geometry

William James Milne - 1899 - 384 sider
...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...
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NEW PLANE GEOMETRY

WPPSTER WOODRUFF BEMAN, DAVID EUGENE SMITH - 1899
...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...
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New Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 382 sider
...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....
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Rekhâgaṇita

Euclid - 1901
...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,...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...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...
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Plane Geometry

Edward Brooks - 1901 - 266 sider
...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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Elementary Geometry

John Elliott (M.A.) - 1902
...difference of the other sides. 11. Prove that the diagonals of a rhombus are unequal. 12. Prove that the sum of any two sides of a triangle is greater than twice the median which bisects the third side. [If the median is produced to double its length and...
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