## Elements of Geometry and Trigonometry |

### From inside the book

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**secant line**: thus , OGB , GOD , are interior angles on the same side ; and so also are the the anglès OGA , GOC . D B 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 . Let AB , CD , be the parallels , and FE 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 . Let AB , CD , be the parallels , and FE the

**secant line**. The sum ... Page 42

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**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

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**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 X. THEOREM . Two parallels intercept equal arcs on ... Page 95

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**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 to the ...### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle 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 proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex