Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 4
... Straight Line , the Conic Sections , and Surfaces of the first and second order . Babies ' Bifferential and Integral Calculus . Babies ' 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 Integral Calculus . Babies ' 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 same direction , is called a broken line . 7. A SURFACE is that which has length and ...
... 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 same direction , is called a broken line . 7. A SURFACE is that which has length and ...
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
ABĀ² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following