Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page v
... Circle , and the Measurement of Angles , ..... Problems relating to the First and Third Books ... Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 188 140 142 ...
... Circle , and the Measurement of Angles , ..... Problems relating to the First and Third Books ... Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 188 140 142 ...
Page vii
... Circle , ........ To find the Diameter of a Circle , ... To find the Length of an Arc , .. Area of a Circle , .... Area of a Sector , Area of a Segment ... Area of a Circular Ring ,. 117 118 118 120 125 126 126 127 129 130 130 131 131 ...
... Circle , ........ To find the Diameter of a Circle , ... To find the Length of an Arc , .. Area of a Circle , .... Area of a Sector , Area of a Segment ... Area of a Circular Ring ,. 117 118 118 120 125 126 126 127 129 130 130 131 131 ...
Page 60
... proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . BOOK III . THE CIRCLE AND THE MEASUREMENT OF ANGLES 60 GEOMETRY .
... proportions , and the corresponding terms of each be supposed equal , it will follow that , like powers of proportional quantities are proportionals . BOOK III . THE CIRCLE AND THE MEASUREMENT OF ANGLES 60 GEOMETRY .
Page 61
... CIRCLE AND THE MEASUREMENT OF ANGLES . DEFINITIONS . 1. A CIRCLE is a plane figure , bound- ed by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir ...
... CIRCLE AND THE MEASUREMENT OF ANGLES . DEFINITIONS . 1. A CIRCLE is a plane figure , bound- ed by a curved line , every point of which is equally distant from a point within , called the centre . The bounding line is called the cir ...
Page 62
... circle , when each of its sides is tangent to the circumference . 14. A Circle is inscribed in a polygon , when its circumference touches each of the sides of the polygon . ооо о POSTULATE . A circumference can be described from any ...
... circle , when each of its sides is tangent to the circumference . 14. A Circle is inscribed in a polygon , when its circumference touches each of the sides of the polygon . ооо о POSTULATE . A circumference can be described from any ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence