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
... meets the ANSI Standard Z39.48-1984 . The production of this volume was supported in part by the Commission on Preservation and Access and the Xerox Corporation . 1992 . PREFACE . O F the various treatises on Elementary Geometry.
... meets the ANSI Standard Z39.48-1984 . The production of this volume was supported in part by the Commission on Preservation and Access and the Xerox Corporation . 1992 . PREFACE . O F the various treatises on Elementary Geometry.
Page 14
... meets another , the two angles which they form are called adjacent angles . Thus , the angles ABD and DBC are adjacent . A- 12. A RIGHT ANGLE is formed by one straight line meeting another so as to make the adjacent angles equal . The ...
... meets another , the two angles which they form are called adjacent angles . Thus , the angles ABD and DBC are adjacent . A- 12. A RIGHT ANGLE is formed by one straight line meeting another so as to make the adjacent angles equal . The ...
Page 15
... 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 bounded by ...
... 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 bounded by ...
Page 19
... . for Scholium . In referring to the same Book , the number of the Book is not given ; in referring to any other Book , the number of the Book is given . PROPOSITION I. THEOREM . If a straight line meets another BOOK I. 19.
... . for Scholium . In referring to the same Book , the number of the Book is not given ; in referring to any other Book , the number of the Book is given . PROPOSITION I. THEOREM . If a straight line meets another BOOK I. 19.
Page 20
... meets another straight line , the sum of the adjacent angles is equal to two right angles . Let DC meet AB at C : then is the sum of the angles DCA and DCB equal to two right an- gles . At C , let CE be drawn perpen- dicular to AB ...
... meets another straight line , the sum of the adjacent angles is equal to two right angles . Let DC meet AB at C : then is the sum of the angles DCA and DCB equal to two right an- gles . At C , let CE be drawn perpen- dicular to AB ...
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Common terms and phrases
ABē ABCD ACē 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