Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 41
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 888888 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 888888 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
... and or therefore , M : NP : Q RST : V : MXR NXS :: PxT : QxV . MxQ = NxP RXV SXT , we shall have MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT MXR NXS :: P × T : Q × V . BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 40 GEOMETRY .
... and or therefore , M : NP : Q RST : V : MXR NXS :: PxT : QxV . MxQ = NxP RXV SXT , we shall have MxQxRxV = NxPxSxT MXRxQxV = NxSxPxT MXR NXS :: P × T : Q × V . BOOK III . THE CIRCLE , AND THE MEASUREMENT OF 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,
Other editions - View all
Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex