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 , Napier's Circular Parts , Solution of Right - angled Spherical Triangles , Quadrantal Triangles ... Triangle , 106 .... Formula for the Sine of Half an Angle , .. 108 Area of a Trapezoid , 112 Area of a Quadrilateral ...
... Triangles , Napier's Circular Parts , Solution of Right - angled Spherical Triangles , Quadrantal Triangles ... Triangle , 106 .... Formula for the Sine of Half an Angle , .. 108 Area of a Trapezoid , 112 Area of a Quadrilateral ...
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 . >> 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 . >> 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 25
... triangles , therefore , coincide throughout , and are consequently equal in all their parts ( I. , D. ) ; which was to be proved . PROPOSITION VI . THEOREM . If two triangles have two angles and the included side of the one equal to two ...
... triangles , therefore , coincide throughout , and are consequently equal in all their parts ( I. , D. ) ; which was to be proved . PROPOSITION VI . THEOREM . If two triangles have two angles and the included side of the one equal to two ...
Page 26
... triangles coincide throughout ,, therefore equal in all their parts ( I. , D. ) ; which was to be proved . and are 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 ,, therefore equal in all their parts ( I. , D. ) ; which was to be proved . and are PROPOSITION VII . THEOREM . The sum of any two sides of a triangle is greater than the third side . Let ABC be a triangle ...
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Common terms and phrases
AB² AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa mean proportional measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine six right slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence