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 ii
... Straight Line , the Conic Sections , and Surfaces of the first and second order . Babies ' Bifferential AND Entegral Calculus . Davies ' Descriptive Geometry - With its application to Spherical Trigonome- try , Spherical Projections ...
... Straight Line , the Conic Sections , and Surfaces of the first and second order . Babies ' Bifferential AND Entegral Calculus . Davies ' Descriptive Geometry - With its application to Spherical Trigonome- try , Spherical Projections ...
Page 13
... line , alone , is used for straight line ; and the word curve , alone , for curved line . 6. A line made up of straight lines , not lying in the sam direction , is called a broken line . 7. A SURFACE is that which has length and breadth ...
... line , alone , is used for straight line ; and the word curve , alone , for curved line . 6. A line made up of straight lines , not lying in the sam direction , is called a broken line . 7. A SURFACE is that which has length and breadth ...
Page 14
... straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of planes . 10. A PLANE ANGLE is the amount of divergence of two lines lying in the same plane . Thus ...
... straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of planes . 10. A PLANE ANGLE is the amount of divergence of two lines lying in the same plane . Thus ...
Page 15
... straight lines are parallel , when they lie in the same plane and can- not meet , how far soever , either way , both ... line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the ...
... straight lines are parallel , when they lie in the same plane and can- not meet , how far soever , either way , both ... line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the ...
Page 18
... 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 be drawn parallel to a given line ...
... 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 be drawn parallel to a given line ...
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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