Elements of Geometry and Trigonometry |
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Page 5
... Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas , . Problems relating to the Fourth Book , 41 57 68 8888 98 BOOK V. Regular Polygons and the ...
... Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas , . Problems relating to the Fourth Book , 41 57 68 8888 98 BOOK V. Regular Polygons and the ...
Page 9
... measurement of extension . Extension has three dimensions , length , breadth , and height , or thickness . 2. A line is length without breadth , or thickness . The extremities of a line are called points : a point , there- fore , has ...
... measurement of extension . Extension has three dimensions , length , breadth , and height , or thickness . 2. A line is length without breadth , or thickness . The extremities of a line are called points : a point , there- fore , has ...
Page 34
... measuring unit an exact number of times , there may perhaps be a smaller unit which will be contained an exact number of times in each of the magnitudes . But if there is no unit of an assignable value , which shall be contained an ...
... measuring unit an exact number of times , there may perhaps be a smaller unit which will be contained an exact number of times in each of the magnitudes . But if there is no unit of an assignable value , which shall be contained an ...
Page 40
... since and or therefore , MN : P : Q R : S :: T : V : MXR NxS :: P × T : Q × V . MxQ = NxP RXV SXT , we shall have MXQXRXV = NxPxSxT MXRxQxV = NxSxPxT MXR NXS :: P × T : Q × V . : 1 BOOK III . THE CIRCLE , AND THE MEASUREMENT 40 GEOMETRY .
... since and or therefore , MN : P : Q R : S :: T : V : MXR NxS :: P × T : Q × V . MxQ = NxP RXV SXT , we shall have MXQXRXV = NxPxSxT MXRxQxV = NxSxPxT MXR NXS :: P × T : Q × V . : 1 BOOK III . THE CIRCLE , AND THE MEASUREMENT 40 GEOMETRY .
Page 41
Adrien Marie Legendre. 1 BOOK III . THE CIRCLE , AND THE MEASUREMENT OF ANGLES . Definitions . 1. The circumference of a circle is a curved line , all the points of which are equally distant from a point within ... Measurement of Angles,
Adrien Marie Legendre. 1 BOOK III . THE CIRCLE , AND THE MEASUREMENT OF ANGLES . Definitions . 1. The circumference of a circle is a curved line , all the points of which are equally distant from a point within ... Measurement of Angles,
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex