Elements of Geometry and Trigonometry |
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Page 42
... vertices in the circumference . The circle is then said to circumscribe such a figure . 7. 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 ...
... vertices in the circumference . The circle is then said to circumscribe such a figure . 7. 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 ...
Page 51
... vertices at the centre , intercept equal arcs on the circumference : and conversely , if the arcs intercepted are equal , the angles contained by the radii will also be equal . Let C and C be the centres of equal circles , and the angle ...
... vertices at the centre , intercept equal arcs on the circumference : and conversely , if the arcs intercepted are equal , the angles contained by the radii will also be equal . Let C and C be the centres of equal circles , and the angle ...
Page 52
... vertices of the angles as centres , with equal radii . Let ACB be the greater and ACD the less angle . Let the less angle be placed on the greater . If the propo- sition is not true , the angle ACB will be to the angle ACD as the arc AB ...
... vertices of the angles as centres , with equal radii . Let ACB be the greater and ACD the less angle . Let the less angle be placed on the greater . If the propo- sition is not true , the angle ACB will be to the angle ACD as the arc AB ...
Page 59
... vertex K , as a cen- tre , with any radius , describe the arc IL , terminating in the two sides of the angle . From the K point A as a centre , with a dis- I A tance AB , equal to KI , describe the indefinite arc BO ; then take a radius ...
... vertex K , as a cen- tre , with any radius , describe the arc IL , terminating in the two sides of the angle . From the K point A as a centre , with a dis- I A tance AB , equal to KI , describe the indefinite arc BO ; then take a radius ...
Page 68
... vertex of an angle on the opposite side , taken as a base . Thus , AD is the altitude of the triangle BAC B 6. The altitude of a parallelogram is the perpendicular which measures the distance between two opposite sides taken as bases ...
... vertex of an angle on the opposite side , taken as a base . Thus , AD is the altitude of the triangle BAC B 6. The altitude of a parallelogram is the perpendicular which measures the distance between two opposite sides taken as bases ...
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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 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