Elements of Geometry and Trigonometry |
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Page 2
... Surfaces . Davies ' Shades , Shadows , and Perspective . A succinct exposition of the mathematical principles involved . Davies ' Science of Mathematics . - For teachers , embracing I. GRAMMAR OF ARITHMETIC , II . OUTLINES OF ...
... Surfaces . Davies ' Shades , Shadows , and Perspective . A succinct exposition of the mathematical principles involved . Davies ' Science of Mathematics . - For teachers , embracing I. GRAMMAR OF ARITHMETIC , II . OUTLINES OF ...
Page 7
... 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 . vi :
... 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 . vi :
Page 8
... Surface of a Pyramid , 120 120 Area of the Frustum of a Cone , Arca of the Surface of a Sphere , Area of a Zone , 121 122 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 ...... Volume of the ...
... Surface of a Pyramid , 120 120 Area of the Frustum of a Cone , Arca of the Surface of a Sphere , Area of a Zone , 121 122 122 Area of a Spherical Polygon , 123 Volume of a Prism , 124 Volume of a Pyramid , 124 ...... Volume of the ...
Page 9
... SURFACES , VOLUMES , and ANGLES . These are called , GEOMETRICAL MAGNITUDES . Since the unit of measure of a ... Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of ...
... SURFACES , VOLUMES , and ANGLES . These are called , GEOMETRICAL MAGNITUDES . Since the unit of measure of a ... Surface , Units of Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of ...
Page 13
... of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length and breadth without thickness . Surfaces are divided into two classes , plane and curved BOOK I Definitions, 1325.
... of straight lines , not lying in the same direction , is called a broken line . 7. A SURFACE is that which has length and breadth without thickness . Surfaces are divided into two classes , plane and curved BOOK I Definitions, 1325.
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Common terms and phrases
ABCD ACē 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