Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry and Mensuration. Accompanied with All the Necessary Logarithmic and Trigonometric Tables |
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Page v
... tangents 42 Of the measure of angles 47 Of inscribed and circumscribed polygons . 51 Of secant and tangent circles . 57 PROBLEMS . Of perpendiculars , angles , and parallels 61 Construction of polygons 66 Of contact 69 Of common measure ...
... tangents 42 Of the measure of angles 47 Of inscribed and circumscribed polygons . 51 Of secant and tangent circles . 57 PROBLEMS . Of perpendiculars , angles , and parallels 61 Construction of polygons 66 Of contact 69 Of common measure ...
Page vii
... tangents , secants , etc .. To find the sine and cosine of the sum and difference of two arcs Numerical values of sines , tangents , etc .... CHAPTER II . Explanation of Table I. of logarithms . Arithmetical calculations by ...
... tangents , secants , etc .. To find the sine and cosine of the sum and difference of two arcs Numerical values of sines , tangents , etc .... CHAPTER II . Explanation of Table I. of logarithms . Arithmetical calculations by ...
Page 41
... tangent ; and the common point of the line and circumference is called the point of contact . Two circumferences are tangent to each other when they have only one point in common . Two circumferences are concentric when they have the ...
... tangent ; and the common point of the line and circumference is called the point of contact . Two circumferences are tangent to each other when they have only one point in common . Two circumferences are concentric when they have the ...
Page 42
... TANGENTS . THEOREM I. Every diameter divides the circle and its circumference into two equal parts . Revolve the portion ACB about the diam- eter AB as a hinge , until it returns to its primitive plane , on the opposite side of AB ...
... TANGENTS . THEOREM I. Every diameter divides the circle and its circumference into two equal parts . Revolve the portion ACB about the diam- eter AB as a hinge , until it returns to its primitive plane , on the opposite side of AB ...
Page 44
... tangent to the circumference ( D. IV . ) . Cor . I. If a straight line is tangent to the circumference of a circle , it will be perpendicular to the radius drawn to the point of contact . For all other points of the tangent line ...
... tangent to the circumference ( D. IV . ) . Cor . I. If a straight line is tangent to the circumference of a circle , it will be perpendicular to the radius drawn to the point of contact . For all other points of the tangent line ...
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Common terms and phrases
ABē ABCD altitude angles equal apothem base bisecting centre chord circle circumference circumscribed circle circumscribed polygon cone consequently corresponding cosec Cosine Cotang cubic cylinder decimal denote diameter dicular distance divided draw drawn equally distant equation exterior angles feet figure frustum GEOMETRY given angle given line gives greater half hence homologous hypotenuse inches included angle intersection logarithm measure middle point multiplied number of sides opposite parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedral angle polyedron prism PROBLEM proportion pyramid quadrant quadrilateral radii radius ratio rectangle regular polygon respectively equal right angles right-angled triangle Scholium secant similar similar triangles Sine slant height solid sphere spherical triangle square straight line subtract suppose surface Tang Tangent THEOREM three sides triangle ABC volume