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 , 68 888 98 BOOK V. Regular Polygons and the Measurement ...
... 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 , 68 888 98 BOOK V. Regular Polygons and the Measurement ...
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 cortained 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 cortained an ...
Page 40
... since and or therefore , MN : : P : Q RST : V MXR NXS :: PXT : Q × V. MxQ = NxP RXV SXT , we shall have - MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT M × R : N × S :: P × T : Q × V . BOOK III . . THE CIRCLE , AND THE MEASUREMENT 40 GEOMETRY .
... since and or therefore , MN : : P : Q RST : V MXR NXS :: PXT : Q × V. MxQ = NxP RXV SXT , we shall have - MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT M × R : N × S :: P × T : Q × V . BOOK III . . THE CIRCLE , AND THE MEASUREMENT 40 GEOMETRY .
Page 41
Adrien Marie Legendre Charles Davies. 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 ... Measurement of Angles,
Adrien Marie Legendre Charles Davies. 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 ... Measurement of Angles,
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent cylinder diagonal diameter dicular distance divided draw drawn equal angles 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 measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular 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 slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex