Elements of Geometry and Trigonometry |
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Page vii
... Triangles , 74-76 Napier's Circular Parts , 77 Solution of Right - angled Spherical Triangles , 80-83 • * 84 ... Triangle , 106 Formula for the Sine of Half an Angle ,. 108 Area of a Trapezoid , 112 Area of a Quadrilateral , 112 ...
... Triangles , 74-76 Napier's Circular Parts , 77 Solution of Right - angled Spherical Triangles , 80-83 • * 84 ... Triangle , 106 Formula for the Sine of Half an Angle ,. 108 Area of a Trapezoid , 112 Area of a Quadrilateral , 112 ...
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 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 . There are then two ...
... 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 . There are then two ...
Page 25
... triangles , therefore , coincide throughout , and are consequently equal in all their parts ( I. , D. 14 ) ; which was to be proved . PROPOSITION VI . THEOREM . If two triangles have two angles and the included side of the one equal to ...
... triangles , therefore , coincide throughout , and are consequently equal in all their parts ( I. , D. 14 ) ; which was to be proved . PROPOSITION VI . THEOREM . If two triangles have two angles and the included side of the one equal to ...
Page 26
... triangles coincide throughout , and are therefore equal in all their parts ( I. , D. 14 ) ; 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 their parts ( I. , D. 14 ) ; 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 ...
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Elements of Geometry and Trigonometry: From the Works of A. M. Legendre Adrien Marie Legendre,Charles Davies No preview available - 2016 |
Common terms and phrases
ABē ABCD ACē adjacent angles altitude angle ACB apothem Applying logarithms base and altitude centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec Cosine Cotang cylinder denote diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm 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 polygon right-angled triangle Scholium secant segment semi-circumference side BC similar Sine slant height sphere spherical angle spherical polygon spherical triangle square straight line Tang tangent THEOREM triangle ABC triangular prisms upper base vertex vertices whence
Popular passages
Page 28 - If two triangles have two sides of the one equal to two sides of the...
Page 100 - The area of a triangle is equal to half the product of its base by its altitude.
Page 99 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Page 59 - A chord is a straight line joining the extremities of an arc.
Page 124 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Page 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 43 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 52 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 123 - Similar triangles are to each other as the squares of their homologous sides.
Page 182 - The upper end of the frustum of a pyramid or cone is called the upper base...