Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 5
... relating to the Fourth Book , 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 ...... BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , ........ 178 BOOK VIII . Cylinder , Cone , and Sphere ,
... relating to the Fourth Book , 129 BOOK V. Regular Polygons - Measurement of the Circle , 136 ...... BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , ........ 178 BOOK VIII . Cylinder , Cone , and Sphere ,
Page 7
... Regular Polygon , To find the Circumference of a Circle , To find the Diameter of a Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment , Area of a Circular Ring , .. 116 116 117 117 118 118 ...
... Regular Polygon , To find the Circumference of a Circle , To find the Diameter of a Circle , To find the length of an Arc , Area of a Circle , Area of a Sector , Arca of a Segment , Area of a Circular Ring , .. 116 116 117 117 118 118 ...
Page 8
... .... Volume of the Frustum of a Pyramid , Volume of a Sphere , Volume of a Wedge , Volume of a Prismoid ,. Volumes of Regular Polyedrons ,. ELEMENTS OF GEOMETRY . INTRODUCTION . 1. QUANTITY is anything viii CONTENTS .
... .... Volume of the Frustum of a Pyramid , Volume of a Sphere , Volume of a Wedge , Volume of a Prismoid ,. Volumes of Regular Polyedrons ,. ELEMENTS OF GEOMETRY . INTRODUCTION . 1. QUANTITY is anything viii CONTENTS .
Page 15
... REGULAR POLYGON , is one which is both equilateral and equiangular . 21. Two polygons are equilateral , or mutually equilateral , when their sides , taken in the same order , are equal , each to each that is , following their perimeters ...
... REGULAR POLYGON , is one which is both equilateral and equiangular . 21. Two polygons are equilateral , or mutually equilateral , when their sides , taken in the same order , are equal , each to each that is , following their perimeters ...
Page 135
... , VII . , VIII . , and IX . a polygon may be constructed similar to either of two given similar polygons , and equal to their sum , or to their differer ce . ВООК V. REGULAR POLYGONS . - AREA OF THE CIRCLE BOOK IV . 135.
... , VII . , VIII . , and IX . a polygon may be constructed similar to either of two given similar polygons , and equal to their sum , or to their differer ce . ВООК V. REGULAR POLYGONS . - AREA OF THE CIRCLE BOOK IV . 135.
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Common terms and phrases
AB² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following