Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page ii
... volume , are more available for American courses of study . Davies ' Analytical Geometry . The original compendiums , for those de- Davies ' Diff . & Int . Calculus . siring to give full time to each branch . Davies ' Descriptive ...
... volume , are more available for American courses of study . Davies ' Analytical Geometry . The original compendiums , for those de- Davies ' Diff . & Int . Calculus . siring to give full time to each branch . Davies ' Descriptive ...
Page iv
... volume , has been introduced in its place , under the belief that it corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made manifest in ...
... volume , has been introduced in its place , under the belief that it corresponds more exactly to the idea intended . Many other departures have been made from the original text , the value and utility of which have been made manifest in ...
Page viii
... Volume of a Prism , 124 Volume of a Pyramid , 124 Volume 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 , . 182 19 2 ELEMENTS OF GEOMETRY ...
... Volume of a Prism , 124 Volume of a Pyramid , 124 Volume 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 , . 182 19 2 ELEMENTS OF GEOMETRY ...
Page 9
... VOLUMES , and ANGLES . These are called , GEOMETRICAL MAGNITUdes . Since the unit of measure of a quantity is of the ... Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of the properties ...
... VOLUMES , and ANGLES . These are called , GEOMETRICAL MAGNITUdes . Since the unit of measure of a quantity is of the ... Volume , and Units of Angular Measure . 3. GEOMETRY is that branch of Mathematics which treats of the properties ...
Page 17
... angles are all right angles . ( A SQUARE is an equilateral rectangle . 21. A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . 29. SPACE is indefinite extension . 30. A VOLUME is 2 BOOK I. 17.
... angles are all right angles . ( A SQUARE is an equilateral rectangle . 21. A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . 29. SPACE is indefinite extension . 30. A VOLUME is 2 BOOK I. 17.
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Common terms and phrases
ABē 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 straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin 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 polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence