Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
From inside the book
Results 1-5 of 45
Page v
... Regular Polygons - Measurement of the Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 188 140 142 ........ 163 165 187 BOOK VII . 189 221 1 BOOK VIII . PAGE Cylinder ...
... Regular Polygons - Measurement of the Circle , Exercises , BOOK VI . Planes , and Polyedral Angles , Exercises , Polyedrons ,. Exercises , 61 84 95 97 29 188 140 142 ........ 163 165 187 BOOK VII . 189 221 1 BOOK VIII . PAGE Cylinder ...
Page vii
... 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 , Area of a Segment ... Area of a Circular Ring ,. 117 ...
... 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 , Area of a Segment ... Area of a Circular Ring ,. 117 ...
Page viii
... Prismoid , 144 Volumes of Regular Polyedrons , 146 LOGARITHMIC TABLES . Logarithms of Numbers from 1 to 10,000 .. Sines and Tangents .. 1-16 17-62 ELEMENTS OF GEOMETRY . INTRODUCTION . DEFINITIONS OF TERMS . viii CONTENTS .
... Prismoid , 144 Volumes of Regular Polyedrons , 146 LOGARITHMIC TABLES . Logarithms of Numbers from 1 to 10,000 .. Sines and Tangents .. 1-16 17-62 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 141
... OB = 20 , OA 28 , OC = 31 ; 31 ; find the area of the triangle and the length of each side . [ AD is made equal to OA , CD to OB , CF to OC , BF to OA , BE to OB , AE to OC . ] B BOOK V. REGULAR POLYGONS . - AREA OF THE CIRCLE BOOK IV .
... OB = 20 , OA 28 , OC = 31 ; 31 ; find the area of the triangle and the length of each side . [ AD is made equal to OA , CD to OB , CF to OC , BF to OA , BE to OB , AE to OC . ] B BOOK V. REGULAR POLYGONS . - AREA OF THE CIRCLE BOOK IV .
Other editions - View all
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