Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page 14
... angles which they form are called adjacent angles . Thus , the A- angles ABD and DBC are adjacent . 12. A RIGHT ANGLE is formed by one straight line meeting another so ... angle 15. An OBTUSE ANGLE is greater than a right angle 14 GEOMETRY .
... angles which they form are called adjacent angles . Thus , the A- angles ABD and DBC are adjacent . 12. A RIGHT ANGLE is formed by one straight line meeting another so ... angle 15. An OBTUSE ANGLE is greater than a right angle 14 GEOMETRY .
Page 15
... right angle . 16. Two straight lines are parallel , when they lie in the same plane and can- not meet , how far ... angles formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the number of ...
... right angle . 16. Two straight lines are parallel , when they lie in the same plane and can- not meet , how far ... angles formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the number of ...
Page 16
... angles , taken in the same order , are equal , each to each . 23. A DIAGONAL ... right - angled and oblique - angled . 1st . A RIGHT - ANGLED TRIANGLE is one ... angle of an oblique - angled triangle is 16 GEOMETRY .
... angles , taken in the same order , are equal , each to each . 23. A DIAGONAL ... right - angled and oblique - angled . 1st . A RIGHT - ANGLED TRIANGLE is one ... angle of an oblique - angled triangle is 16 GEOMETRY .
Page 17
... angles are acute , the triangle is said to be ACUTE - ANGLED . 26. Quadrilaterals are classified with reference to ... right angles . A SQUARE is an equilateral rectangle . 2. A RHOMBOID is a parallelogram whose angles are all oblique ...
... angles are acute , the triangle is said to be ACUTE - ANGLED . 26. Quadrilaterals are classified with reference to ... right angles . A SQUARE is an equilateral rectangle . 2. A RHOMBOID is a parallelogram whose angles are all oblique ...
Page 18
... right angles are equal . 11. Only one straight line can be drawn between two points . 12. The shortest distance between any two points is mea- sured on the straight line which joins them . 13. Through the same point , only one line can ...
... right angles are equal . 11. Only one straight line can be drawn between two points . 12. The shortest distance between any two points is mea- sured on the straight line which joins them . 13. Through the same point , only one line can ...
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Common terms and phrases
AB² AC² altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence