Elements of Geometry and Trigonometry |
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Page 5
... relating to the Fourth Book , 129 688 93 BOOK V. Regular Polygons - Measurement of the Circle , 136 BOOK vi . Planes , and Polyedral Angles , 157 Polyedrona ,. BOOK VII . 178 Cylinder , Cone , and Sphere , Spherical Geometry ,.
... relating to the Fourth Book , 129 688 93 BOOK V. Regular Polygons - Measurement of the Circle , 136 BOOK vi . Planes , and Polyedral Angles , 157 Polyedrona ,. BOOK VII . 178 Cylinder , Cone , and Sphere , Spherical Geometry ,.
Page 7
... Regular Polygon , 114 To find the Circumference of a 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 ...
... Regular Polygon , 114 To find the Circumference of a 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 ...
Page 8
... of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , Volume of a Prismoid , .. 127 128 Volumes of Regular Polyedrons , ... 132 ELEMENTS OF GEOMETRY . INTRODUCTION . DEFINITIONS OF TERMS . viii CONTENTS .
... of the Frustum of a Pyramid , 125 Volume of a Sphere , 126 Volume of a Wedge , Volume of a Prismoid , .. 127 128 Volumes of Regular Polyedrons , ... 132 ELEMENTS OF GEOMETRY . INTRODUCTION . DEFINITIONS OF TERMS . viii CONTENTS .
Page 15
... REGULAR POLYGON , is one which is both equilateral and equiangular . 21. Two polygons are mutually equilateral , when their sides , taken in the same order , are equal , each to each : that is , following their perimeters in the same ...
... REGULAR POLYGON , is one which is both equilateral and equiangular . 21. Two polygons are mutually equilateral , when their sides , taken in the same order , are equal , each to each : that is , following their perimeters in the same ...
Page 135
... X as a side , homologous to A or B , construct a polygon similar to the given polygons , and it will be equal to their sum or difference ( P. XXVII . , C. 2 ) . BOOK V. REGULAR POLYGONS . ARE A OF THE CIRCLE BOOK IV . 135.
... X as a side , homologous to A or B , construct a polygon similar to the given polygons , and it will be equal to their sum or difference ( P. XXVII . , C. 2 ) . BOOK V. REGULAR POLYGONS . ARE A OF THE CIRCLE BOOK IV . 135.
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Common terms and phrases
ABCD ACĀ² 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