Elements of Geometry and Trigonometry |
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Page v
... Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle ,. 59 82 888 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , 178 BOOK VIII . Cylinder , Cone , and Sphere ,
... Problems relating to the Fourth Book , BOOK V. Regular Polygons - Measurement of the Circle ,. 59 82 888 93 129 136 BOOK VI . Planes , and Polyedral Angles , 157 BOOK VII . Polyedrons , 178 BOOK VIII . Cylinder , Cone , and Sphere ,
Page vii
... 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 , Area of a Circle , Area of a Sector , Area of a Segment , • 117 117 118 118 Area of a Circular Ring ...
... 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 , Area of a Circle , Area of a Sector , Area of a Segment , • 117 117 118 118 Area of a Circular Ring ...
Page viii
... Frustum of a Pyramid , Volume of a Sphere , 123 124 124 125 126 Volume of a Wedge , Volume of a Prismoid , • 127 128 Volumes of Regular Polyedrons ,. 132 • ELEMENTS OF GEOMETRY . INTRODUCTION . 1. QUANTITY is anything viii CONTENTS .
... Frustum of a Pyramid , Volume of a Sphere , 123 124 124 125 126 Volume of a Wedge , Volume of a Prismoid , • 127 128 Volumes of Regular Polyedrons ,. 132 • 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
... of Probs . VI . , VII . , VIII . , and IX . , a polygon may be constructed similar to two given polygons , and equal to their sum , or to their difference ( P. XXVII , C. ) . BOOK V. REGULAR POLYGONS . — AREA OF THE CIRCLE BOOK IV . 135.
... of Probs . VI . , VII . , VIII . , and IX . , a polygon may be constructed similar to two given polygons , and equal to their sum , or to their difference ( P. XXVII , C. ) . BOOK V. REGULAR POLYGONS . — AREA OF THE CIRCLE BOOK IV . 135.
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
AB² ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...