Elements of Geometry and Trigonometry |
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Page 37
... secant , with respect to them . The eight ingles formed about the points of E G / A- C- -D H tersection have different names , with respect to each other . F 1 ° . INTERIOR ANGLES ON THE SAME SIDE , are those that lie on the same side ...
... secant , with respect to them . The eight ingles formed about the points of E G / A- C- -D H tersection have different names , with respect to each other . F 1 ° . INTERIOR ANGLES ON THE SAME SIDE , are those that lie on the same side ...
Page 38
... secant and without the other two lines . Thus , EGB and DHF are exterior angles on the same side . 3 ° . ALTERNATE ANGLES , are those that lie on opposite sides of the secant and within the other two lines , but not adja- cent . Thus ...
... secant and without the other two lines . Thus , EGB and DHF are exterior angles on the same side . 3 ° . ALTERNATE ANGLES , are those that lie on opposite sides of the secant and within the other two lines , but not adja- cent . Thus ...
Page 40
... secant line GHD be equal to E G A -B L -D C- II F be parallel ( P. XIX . ) ; and consequently , we shall have two lines GB , GL , drawn through the same point G and par allel to CD , which is impossible ( A. 13 ) : hence , the sum of ...
... secant line GHD be equal to E G A -B L -D C- II F be parallel ( P. XIX . ) ; and consequently , we shall have two lines GB , GL , drawn through the same point G and par allel to CD , which is impossible ( A. 13 ) : hence , the sum of ...
Page 60
... SECANT is a straight line which cuts the circumference in two points . 11. A TANGENT is a straight line which touches the circumference in one point only . This point is called , the point of contact , or , the point of tangency . 12 ...
... SECANT is a straight line which cuts the circumference in two points . 11. A TANGENT is a straight line which touches the circumference in one point only . This point is called , the point of contact , or , the point of tangency . 12 ...
Page 69
... secants ; one may be a secant and the other a tangent ; or , both may be tangents . 1o . Let the secants AB AB and DE be parallel then will the intercepted arcs MN and PQ be equal . For , draw the radius CH perpendicular to the chord MP ...
... secants ; one may be a secant and the other a tangent ; or , both may be tangents . 1o . Let the secants AB AB and DE be parallel then will the intercepted arcs MN and PQ be equal . For , draw the radius CH perpendicular to the chord MP ...
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Common terms and phrases
ABCD AC² 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