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
... Book - Designed for Beginners ; containing the elementary tables of Addition , Subtraction , Multiplication , Division , and Denominate Numbers ; with a large number of easy and prac- tical questions , both mental and written . Babies ...
... Book - Designed for Beginners ; containing the elementary tables of Addition , Subtraction , Multiplication , Division , and Denominate Numbers ; with a large number of easy and prac- tical questions , both mental and written . Babies ...
Page v
... BOOK L PAGE 13 20 BOOK II . Ratios and Proportions ,. 50 BOOK III . The Circle , and the Measurement of Angles , .... Problems relating to the First and Third Books ,. BOOK IV . Proportions of Figures - Measurement of Areas , Problems ...
... BOOK L PAGE 13 20 BOOK II . Ratios and Proportions ,. 50 BOOK III . The Circle , and the Measurement of Angles , .... Problems relating to the First and Third Books ,. BOOK IV . Proportions of Figures - Measurement of Areas , Problems ...
Page vi
... BOOK VIII . Spherical Geometry , BOOK IX . ....... PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms ,. Rules for Characteristics , General Principles , Table of Logarithms , Manner of Using the Table , Multiplication by ...
... BOOK VIII . Spherical Geometry , BOOK IX . ....... PLANE TRIGONOMETRY . INTRODUCTION . Definition of Logarithms ,. Rules for Characteristics , General Principles , Table of Logarithms , Manner of Using the Table , Multiplication by ...
Page 12
... they are equal in measure , When they may be so placed as to coincide through- out their whole extent , they are equal in all their parts . ELEMENTS OF GEOMETRY . BOOK I. ELEMENTARY PRINCIPLES . DEFINITIONS 12 GEOMETRY .
... they are equal in measure , When they may be so placed as to coincide through- out their whole extent , they are equal in all their parts . ELEMENTS OF GEOMETRY . BOOK I. ELEMENTARY PRINCIPLES . DEFINITIONS 12 GEOMETRY .
Page 13
... BOOK I. ELEMENTARY PRINCIPLES . DEFINITIONS . 1. GEOMETRY is that branch of Mathematics which treats of the properties and relations of Geometrical Magnitudes . 2. A POINT is that which has position , but not magni- tude . 3. A LINE is ...
... BOOK I. ELEMENTARY PRINCIPLES . DEFINITIONS . 1. GEOMETRY is that branch of Mathematics which treats of the properties and relations of Geometrical Magnitudes . 2. A POINT is that which has position , but not magni- tude . 3. A LINE is ...
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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