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 Bøker Bok 61–70 av 155 på America, 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
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## NEW PLANE GEOMETRY

...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...
Uten tilgangsbegrensning - Om denne boken ## 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....
Uten tilgangsbegrensning - Om denne boken ## 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,...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken ## 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...
Uten tilgangsbegrensning - Om denne boken