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 centre , with any radius KI , describe the arc IL , terminat- K as a K OD 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 centre , with any radius KI , describe the arc IL , terminat- K as a K OD 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 qual to the required angle . II F ...
... 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 qual to the required angle . II F ...
Page 86
... construct the triangle . Let B and C denote the given sides , and A the give 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 gide C , and on DE , lay off DG ...
... construct the triangle . Let B and C denote the given sides , and A the give 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 gide 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 . 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 . Let A and B be the given sides , and C 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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Common terms and phrases
ABCD ACĀ² 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 line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence