Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 14
... sides , and their common point A , is called the ver- A- -B tex . An angle is designated by naming its sides , or some- times by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When one ...
... sides , and their common point A , is called the ver- A- -B tex . An angle is designated by naming its sides , or some- times by simply naming its vertex ; thus , the above is called the angle BAC , or simply , the angle A. 11. When one ...
Page 15
... sides of the polygon . The broken line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the ...
... sides of the polygon . The broken line , made up of all the sides of the polygon , is called the perimeter of the polygon . The angles formed by the sides , are called angles of the polygon . 19. Polygons are classified according to the ...
Page 16
... sides equal . 2d . An ISOSCELES TRIANGLE is one which has two of its sides equal . When all of the sides are equal , the triangle is EQUILATERAL . When classified with reference to their angles , there are are two classes : right ...
... sides equal . 2d . An ISOSCELES TRIANGLE is one which has two of its sides equal . When all of the sides are equal , the triangle is EQUILATERAL . When classified with reference to their angles , there are are two classes : right ...
Page 17
... sides . There are then two classes the first class embraces those which have no two sides par allel ; the second class embraces those which have two sides parallel . Quadrilaterals of the first class , are called trapeziums ...
... sides . There are then two classes the first class embraces those which have no two sides par allel ; the second class embraces those which have two sides parallel . Quadrilaterals of the first class , are called trapeziums ...
Page 21
... side of one line , and ' on opposite sides of the other ; thus ,, ACE and ECB , or ACE and ACD , are adjacent angles . A D B 2o . OPPOSITE , or VERTICAL ANGLES , are those which lie on opposite sides of both lines ; thus , ACE and DCB ...
... side of one line , and ' on opposite sides of the other ; thus ,, ACE and ECB , or ACE and ACD , are adjacent angles . A D B 2o . OPPOSITE , or VERTICAL ANGLES , are those which lie on opposite sides of both lines ; thus , ACE and DCB ...
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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