Elements of Geometry and Trigonometry |
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Page 26
... secant line : thus , OGB , GOD , are interior angles on the same side ; and so also are the the angles OGA , GOC . 0 D Alternate angles lie within the parallels , and on different sides of the secant line : AGO , DOG , are alternate ...
... secant line : thus , OGB , GOD , are interior angles on the same side ; and so also are the the angles OGA , GOC . 0 D Alternate angles lie within the parallels , and on different sides of the secant line : AGO , DOG , are alternate ...
Page 27
... line perpendicular to one of two parallels , is perpendicular to the other . Cor . 2. If a straight line meet two parallel lines , the alternate angles will be equal . E G Let AB , CD , be the parallels , and FE the secant line . The ...
... line perpendicular to one of two parallels , is perpendicular to the other . Cor . 2. If a straight line meet two parallel lines , the alternate angles will be equal . E G Let AB , CD , be the parallels , and FE the secant line . The ...
Page 42
... secant is a line which meets the circum- ference in two points , and lies partly within and partly without the circle . AB is a secant . 8. A tangent is a line which has but one point in common with the circumference . CD is a ...
... secant is a line which meets the circum- ference in two points , and lies partly within and partly without the circle . AB is a secant . 8. A tangent is a line which has but one point in common with the circumference . CD is a ...
Page 48
... line , and the perpendicular let fall from the centre upon this tangent would be shorter than CA ; hence this supposed tangent would enter the circle , and be a secant . PROPOSITION Χ . ΤHEOREM . Two parallels intercept equal arcs on ...
... line , and the perpendicular let fall from the centre upon this tangent would be shorter than CA ; hence this supposed tangent would enter the circle , and be a secant . PROPOSITION Χ . ΤHEOREM . Two parallels intercept equal arcs on ...
Page 95
... secant be drawn , the tangent will be a mean proportional between the secant and its external segment . From the ... line terminating in the opposite side , the rectangle of the sides including the bi- sected angle , is equivalent ...
... secant be drawn , the tangent will be a mean proportional between the secant and its external segment . From the ... line terminating in the opposite side , the rectangle of the sides including the bi- sected angle , is equivalent ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circle circumference circumscribed common cone convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism produced proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant secant line segment side BC similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex