Elements of Geometry and Trigonometry |
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Page 5
... Circle , and the Measurement of Angles , ...... Probleme relating to the First and Third Books ,. 59 82 BOOK IV . Proportions of Figures - Measurement of Areas , Problems relating to the Fourth Book , 129 688 93 BOOK V. Regular Polygons ...
... Circle , and the Measurement of Angles , ...... Probleme relating to the First and Third Books ,. 59 82 BOOK IV . Proportions of Figures - Measurement of Areas , Problems relating to the Fourth Book , 129 688 93 BOOK V. Regular Polygons ...
Page 7
... Circle , 116 To find the Diameter of a Circle , 116 To find the length of an Arc , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 117 118 118 119 PAGE . Area of the Surface of a Prism , CONTENTS ...
... Circle , 116 To find the Diameter of a Circle , 116 To find the length of an Arc , 117 Area of a Circle , Area of a Sector , Area of a Segment , Area of a Circular Ring , 117 118 118 119 PAGE . Area of the Surface of a Prism , CONTENTS ...
Page 58
... extended to three or more 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 1. A CIRCLE is 58 GEOMETRY .
... extended to three or more 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 1. A CIRCLE is 58 GEOMETRY .
Page 59
Adrien Marie Legendre. BOOK III . THE CIRCLE AND 1. A CIRCLE is THE MEASUREMENT OF ANGLES . DEFINITIONS . 8 plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The ...
Adrien Marie Legendre. BOOK III . THE CIRCLE AND 1. A CIRCLE is THE MEASUREMENT OF ANGLES . DEFINITIONS . 8 plane figure , bounded by a curved line , every point of which is equally distant from a point within , called the centre . The ...
Page 60
... circle , when all of its sides are tangent to the circumference . 14. A Circle is inscribed in a polygon , when its circumference touches all of the sides of the polygon . ооо хо POSTULATE . A circumference can be described from any ...
... circle , when all of its sides are tangent to the circumference . 14. A Circle is inscribed in a polygon , when its circumference touches all of the sides of the polygon . ооо хо POSTULATE . A circumference can be described from any ...
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Common terms and phrases
ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence