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 vii
... Triangles , .... 77-80 Napier's Circular Parts , ....... 80 Solution of Right - angled Spherical Triangles , 84-88 ... Triangle ,. Formula for the Sine and Cosine of Half an Angle , Area of a Trapezoid , Area of a Quadrilateral , Area ...
... Triangles , .... 77-80 Napier's Circular Parts , ....... 80 Solution of Right - angled Spherical Triangles , 84-88 ... Triangle ,. Formula for the Sine and Cosine of Half an Angle , Area of a Trapezoid , Area of a Quadrilateral , Area ...
Page 16
... TRIANGLE is one which has no two of its 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 . A When classified with reference to their angles ...
... TRIANGLE is one which has no two of its 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 . A When classified with reference to their angles ...
Page 17
... triangle is obtuse , the triangle is said to be OBTUSE - ANGLED . If all of the angles are acute , the triangle is said to be ACUTE - ANGLED . 26. Quadrilaterals are classified with reference to the rel- ative directions of their sides ...
... triangle is obtuse , the triangle is said to be OBTUSE - ANGLED . If all of the angles are acute , the triangle is said to be ACUTE - ANGLED . 26. Quadrilaterals are classified with reference to the rel- ative directions of their sides ...
Page 26
... triangles coincide throughout , and are therefore equal in all respects ( I. , D. 15 ) ; which was to be proved . PROPOSITION VII . THEOREM . The sum of any two sides of a triangle is greater than the third side . Let ABC be a triangle ...
... triangles coincide throughout , and are therefore equal in all respects ( I. , D. 15 ) ; which was to be proved . PROPOSITION VII . THEOREM . The sum of any two sides of a triangle is greater than the third side . Let ABC be a triangle ...
Page 27
... triangle two straight lines are drawn to the extremities of any side , their , sum is less than that of the two remaining sides of the triangle . Let O be any point within the triangle BAC , and let the lines OB , OC , be drawn to the ...
... triangle two straight lines are drawn to the extremities of any side , their , sum is less than that of the two remaining sides of the triangle . Let O be any point within the triangle BAC , and let the lines OB , OC , be drawn to the ...
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Common terms and phrases
AB² ABCD AC² 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