 | Daniel Cresswell - 1817 - 454 páginas
...together, exceed the double of any one side, and are less than the double of any two sides. Any side of a triangle is greater than the difference between the other two sides. ' '•• ' • (xi.) Any one side of a rectilineal figure is less than the aggregate of the remaining... | |
 | Miles Bland - 1819 - 442 páginas
...circle, intersect each other in an angle equal to the given angle. SECTION III. Page 92. 1. ANY side of a triangle is greater than the difference between the other two sides. 2. In any right-angled triangle, the straight line joining the right angle and the bisection of the hypothenuse... | |
 | Daniel Cresswell - 1819 - 486 páginas
...third. three sides are, together, < than the double of the other two. PROP. X. 17. THEOREM. Any side of a triangle is greater than the difference between the other two sides. If, the A be equilateral, or isosceles, the proposition is manifestly true. But let it be a scalene... | |
 | Miles Bland - 1819 - 444 páginas
...AIH, LHI together, te to ALH (Eucl. i. 32.) ; wherefore ALH is equal to BCD. SECT. III. (1.) Any side of a triangle is greater than the difference between the other two sides. Let ABC be a triangle ; any of its sides is greater than the difference of the other two. Let AC be... | |
 | William Wallace - 1837 - 248 páginas
...of the transverse axis lie between the foci. Let A be either of the vertices, then, because any side of a triangle is greater than the difference between the other two sides, F/*is greater thanyD — DF, which is equal to /A — FA (Def. 1). Now this can only be true when A... | |
 | Euclides - 1847 - 128 páginas
...CF is < co,'&c., &c. Therefore, of all st. lines &c.— QED PROP. N. THEOR. GEN. ENUN. — Any side of a triangle is greater than the difference between the other two sides. PART. ENUN. — Let ABC be a A' Then any of its sides is greater than the difference between the other... | |
 | Euclid, Thomas Tate - 1849 - 120 páginas
...triangle are 3, 4, and 5, taken from a scale of equal parts, it is a right-angled triangle. 9. Any side of a triangle is greater than the difference between the other two sides. 10. Any one side of a quadrilateral figure is less than tlm sum of the remaining sides. 11. If either... | |
 | Euclides - 1852 - 152 páginas
...point without the perpendicular is at unequal distances from the extremities of the line. Any side of a triangle is greater than the difference between the other two sides. The difference of the angle at the base of any triangle is double the angle contained by a line drawn... | |
 | Euclides - 1855 - 270 páginas
...the definition of a straight line, given in the annotation to Def. •!.. Exercise 1. — Any side of a triangle is greater than the difference between the other two sides. Exercise 2. — The three sides of a triangle taken -together are greater than the double of any one... | |
 | Edward Brooks - 1868 - 284 páginas
...all the external acute angles will be equal, and all the obtuse angles will be equal. 3. Either side of a triangle is greater than the difference between the other two. 4. If a line be drawn bisecting an angle, any point of the bisecting line is equally distant from the... | |
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Show that any side of a triangle is greater than the difference between the other two sides. 
