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 vi
... PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms ,. Rules for Characteristics , General Principles ... PLANE TRIGONOMETRY . Plane Trigonometry Defined , Functions of the Arc ,. Table of Natural Sines ,. Table of Logarithmic ...
... PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms ,. Rules for Characteristics , General Principles ... PLANE TRIGONOMETRY . Plane Trigonometry Defined , Functions of the Arc ,. Table of Natural Sines ,. Table of Logarithmic ...
Page 13
... lying in the sam 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 ANTRODUCTION, BOOK L Definitions,
... lying in the sam 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 ANTRODUCTION, BOOK L Definitions,
Page 14
... plane and curved surfaces . 8. A PLANE is a surface , such , that if any two of its points be joined by a straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of ...
... plane and curved surfaces . 8. A PLANE is a surface , such , that if any two of its points be joined by a straight line , that line will lie wholly in the surface . 9. A CURVED SURFACE is a surface which is neither a plane nor composed of ...
Page 15
... plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a portion of a plane bounded by lines , either straight or curved . 18. A POLYGON is a plane figure ...
... plane and can- not meet , how far soever , either way , both may be produced . They then have the same direction . 17. A PLANE FIGURE is a portion of a plane bounded by lines , either straight or curved . 18. A POLYGON is a plane figure ...
Page 157
... PLANE , when it can- not meet the plane , how far soever both may be produced . In this case , the plane is also parallel to the line . 3. TWO PLANES ARE PARALLEL , when they cannot meet , how far soever both may be produced . 4. A ...
... PLANE , when it can- not meet the plane , how far soever both may be produced . In this case , the plane is also parallel to the line . 3. TWO PLANES ARE PARALLEL , when they cannot meet , how far soever both may be produced . 4. A ...
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Common terms and phrases
AB² AC² altitude angle ACB apothem axis base and altitude base multiplied BC² bisect centre chord circumference coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diameter distance divided draw drawn edges equal bases equal in volume equal to AC equal to half equally distant Formula frustum given angle given line greater hence homologous hypothenuse included angle intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides opposite parallelogram perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION XI proved pyramid quadrant radii radius rectangle regular polygons right-angled triangle Scholium segment semi-circumference side BC similar sine slant height sphere spherical angle spherical excess spherical polygon spherical triangle straight line tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence