Elements of Geometry and Trigonometry |
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Page 42
... circumscribe such a figure . 7. A secant is a line which meets the circum- ference in two points , and lies partly ... circumscribed about a circle , when all its sides are tangents to the circumference : in the same case , the circle ...
... circumscribe such a figure . 7. A secant is a line which meets the circum- ference in two points , and lies partly ... circumscribed about a circle , when all its sides are tangents to the circumference : in the same case , the circle ...
Page 96
... circumscribed circle ; then will AB.AC = AD.CE . For , drawing AE , the triangles ABD , AEC , are right angled , the one at D , the other at A : also the angle B - E ; these tri- angles are therefore similar , and they give the ...
... circumscribed circle ; then will AB.AC = AD.CE . For , drawing AE , the triangles ABD , AEC , are right angled , the one at D , the other at A : also the angle B - E ; these tri- angles are therefore similar , and they give the ...
Page 110
... circumscribed circles , may also be regarded as the centre of the polygon ; and upon this principle the angle AOB is called the angle at the centre , being formed by two radii drawn to the extremities of the same side AB . Since all the ...
... circumscribed circles , may also be regarded as the centre of the polygon ; and upon this principle the angle AOB is called the angle at the centre , being formed by two radii drawn to the extremities of the same side AB . Since all the ...
Page 114
... circumscribed polygon GHIK & c . similar to the one inscribed . N P H T G B A S K Q L R M Since T is the middle point of the arc BTA , and N the mid- dle point of the equal arc BNC , it follows , that BT - BN ; or that the vertex B of ...
... circumscribed polygon GHIK & c . similar to the one inscribed . N P H T G B A S K Q L R M Since T is the middle point of the arc BTA , and N the mid- dle point of the equal arc BNC , it follows , that BT - BN ; or that the vertex B of ...
Page 115
... circumscribed one . Cor . 2. Hence we may circumscribe about a circle any regular polygon , which can be inscribed ... circumscribed polygon being given , it is required to circumscribe the circle by another regular polygon having double ...
... circumscribed one . Cor . 2. Hence we may circumscribe about a circle any regular polygon , which can be inscribed ... circumscribed polygon being given , it is required to circumscribe the circle by another regular polygon having double ...
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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