Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 14
... meets another the two angles which they form are called adjacent angles . Thus , the the A- angles ABD and DBC are adjacent . 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 the A- angles ABD and DBC are adjacent . 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
... S. 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 meet another BOOK I. 19.
... S. 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 meet another BOOK I. 19.
Page 20
... meet another straight line , the sum of the adjacent angles will be equal to two right angles . Let DC meet AB at C : then will the sum of the angles DCA and DCB be equal to two right angles . . A C , let CE be drawn per- pendicular to ...
... meet another straight line , the sum of the adjacent angles will be equal to two right angles . Let DC meet AB at C : then will the sum of the angles DCA and DCB be equal to two right angles . . A C , let CE be drawn per- pendicular to ...
Page 23
... reasoning until the assumed hypothesis is shown to be false . Its contradictory is thus proved to be true . This method of demonstration is often used in Geometry . PROPOSITION IV . THEOREM . If a straight line meet BOOK I. 23.
... reasoning until the assumed hypothesis is shown to be false . Its contradictory is thus proved to be true . This method of demonstration is often used in Geometry . PROPOSITION IV . THEOREM . If a straight line meet BOOK I. 23.
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Common terms and phrases
ABĀ² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following