Elements of Geometry and Trigonometry |
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Page 41
... inscribed in a circle , when its extremities are in the cir- cumference , as AB . An inscribed angle is one which , like BAC , has its vertex in the circumference , and is formed by two chords . B * Note . In common language , the ...
... inscribed in a circle , when its extremities are in the cir- cumference , as AB . An inscribed angle is one which , like BAC , has its vertex in the circumference , and is formed by two chords . B * Note . In common language , the ...
Page 42
Adrien Marie Legendre. An inscribed triangle is one which , like BAC , has its three angular points in the circumference . And , generally , an inscribed figure is one , of which all the angles have their vertices in the circumference ...
Adrien Marie Legendre. An inscribed triangle is one which , like BAC , has its three angular points in the circumference . And , generally , an inscribed figure is one , of which all the angles have their vertices in the circumference ...
Page 43
... inscribed in a circle is its diameter . PROPOSITION III . THEOREM . A straight line cannot meet the circumference of a circle in more than two points : For , if it could meet it in three , those three points would be equally distant ...
... inscribed in a circle is its diameter . PROPOSITION III . THEOREM . A straight line cannot meet the circumference of a circle in more than two points : For , if it could meet it in three , those three points would be equally distant ...
Page 54
... inscribed angle is measured by half the arc included between its sides . us first Let BAD be an inscribed angle , and let suppose that the centre of the cir- cle lies within the angle BAD . Draw the diameter AE , and the radii CB , CD ...
... inscribed angle is measured by half the arc included between its sides . us first Let BAD be an inscribed angle , and let suppose that the centre of the cir- cle lies within the angle BAD . Draw the diameter AE , and the radii CB , CD ...
Page 55
... inscribed in the same segment are equal ; because they are all measured by the half of the same arc BOC . B Cor . 2. Every angle BAD , inscribed in a semicircle is a right angle ; because it is mea- sured by half the semicircumference ...
... inscribed in the same segment are equal ; because they are all measured by the half of the same arc BOC . B Cor . 2. Every angle BAD , inscribed in a semicircle is a right angle ; because it is mea- sured by half the semicircumference ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment 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