Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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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 ...
... 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 ...
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 D equal to the required angle . H ...
... 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 D equal to the required angle . H ...
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 . Let A and B be the given sides , and C the given angle . BH E D- Draw an indefinite line DG , Ar and at some point of it , as D , construct an angle GDE equal to the given angle ; on one side of this angle lay ...
... construct the triangle . Let A and B be the given sides , and C the given angle . BH E D- Draw an indefinite line DG , Ar and at some point of it , as D , construct an angle GDE equal to the given angle ; on one side of this angle lay ...
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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Common terms and phrases
ABē 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