Elements of Geometry and Trigonometry |
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Page 83
... construct an angle equal to a given angle . Let A be the given point , AB the given line , and IKL the given angle . From the vertex K as a centre , with any radius KI , describe the arc IL , terminat- ing in the sides of the angle . L ...
... construct an angle equal to a given angle . Let A be the given point , AB the given line , and IKL the given angle . From the vertex K as a centre , with any radius KI , describe the arc IL , terminat- ing in the sides of the angle . L ...
Page 85
... construct the third angle . Let A and B be given angles of a triangle . Draw a line DF , and at some point of it , as E , construct the an- gle FEH equal to A , and HEC equal to B. Then , will CED be equal to the required angle ...
... construct the third angle . Let A and B be given angles of a triangle . Draw a line DF , and at some point of it , as E , construct the an- gle FEH equal to A , and HEC equal to B. Then , will CED be equal to the required angle ...
Page 86
... construct the triangle . Let B and C denote the given sides , and A the given angle . Draw the indefinite line DF , and at D construct an angle FDE , equal to the angle A ; on DF , lay off DH equal to the side C , and on DE , lay off DG ...
... construct the triangle . Let B and C denote the given sides , and A the given angle . Draw the indefinite line DF , and at D construct an angle FDE , equal to the angle A ; on DF , lay off DH equal to the side C , and on DE , lay off DG ...
Page 87
... construct the triangle . Ở Let A and B be the given sides , and the given angle . Draw an indefinite line DG , and at some point of it , as D , construct an angle GDE equal to the given angle ; on one side of this angle lay off the ...
... construct the triangle . Ở Let A and B be the given sides , and the given angle . Draw an indefinite line DG , and at some point of it , as D , construct an angle GDE equal to the given angle ; on one side of this angle lay off the ...
Page 88
... construct the parallelogram . Let A and B be the given sides , and C the given angle . Draw the line DH , and at some point as D , construct the angle HDF equal to the angle C. Lay off DE equal to the side A , and DF equal to the side B ...
... construct the parallelogram . Let A and B be the given sides , and C the given angle . Draw the line DH , and at some point as D , construct the angle HDF equal to the angle C. Lay off DE equal to the side A , and DF equal to the side B ...
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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
AB² ABCD AC² 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...