| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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,... | |
| 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... | |
| 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... | |
| 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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