Elements of Geometry and Trigonometry |
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Page 4
... circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a polygon of an infinite number of ...
... circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia . It is proved in the corollaries that a polygon of an infinite number of ...
Page 5
... Circle 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 , 68 888 98 BOOK V. Regular Polygons and ...
... Circle 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 , 68 888 98 BOOK V. Regular Polygons and ...
Page 40
... 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 .
... 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
... circle is a curved line , all the points of which are equally distant from a point within , called the centre . The circle is the this curved line . * space terminated by A 2. Every straight line , CA , CE , CD , drawn from the centre ...
... circle is a curved line , all the points of which are equally distant from a point within , called the centre . The circle is the this curved line . * space terminated by A 2. Every straight line , CA , CE , CD , drawn from the centre ...
Page 42
... circle , when all its sides are tangents to the circumference : in the same case , the circle is said to be inscribed in the po- lygon . PROPOSITION I. THEOREM . Every diameter divides the circle and its circumference into two equal ...
... circle , when all its sides are tangents to the circumference : in the same case , the circle is said to be inscribed in the po- lygon . PROPOSITION I. THEOREM . Every diameter divides the circle and its circumference into two equal ...
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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