Elements of Geometry and Trigonometry |
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Page 9
... extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one point to another . 4. Every line which is not ...
... extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one point to another . 4. Every line which is not ...
Page 18
... extremities of either side , their sum will be less than the sum of the two other sides of the triangle . Let any point , as O , be taken within the trian- gle BAC , and let the lines OB , OC , be drawn to the extremities of either side ...
... extremities of either side , their sum will be less than the sum of the two other sides of the triangle . Let any point , as O , be taken within the trian- gle BAC , and let the lines OB , OC , be drawn to the extremities of either side ...
Page 23
... extremities of the line . 2d , Every point , without the perpendicular , will be unequally dis . tant from those extremities . Let AB be the given straight line , C the BOOK I. 23.
... extremities of the line . 2d , Every point , without the perpendicular , will be unequally dis . tant from those extremities . Let AB be the given straight line , C the BOOK I. 23.
Page 24
... extremities A and B. Cor . If a straight line have two points D and F , equally dis- tant from the extremities A and B , it will be perpendicular to AB at the middle point C. PROPOSITION XVII . THEOREM . If two right angled triangles ...
... extremities A and B. Cor . If a straight line have two points D and F , equally dis- tant from the extremities A and B , it will be perpendicular to AB at the middle point C. PROPOSITION XVII . THEOREM . If two right angled triangles ...
Page 41
... extremities of the arc . 6. A straight line is said to be 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 ...
... extremities of the arc . 6. A straight line is said to be 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 ...
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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