Elements of Geometry and Trigonometry |
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Page 2
... STRAIGHT LINE - of the CONIC SECTIONS of the LINE AND PLANE IN SPACE - also , the discussion of the GENERAL EQUATION of the second degree , and of SURFACES OF THE SECOND ORDER . DAVIES ' DESCRIPTIVE GEOMETRY , With its application to ...
... STRAIGHT LINE - of the CONIC SECTIONS of the LINE AND PLANE IN SPACE - also , the discussion of the GENERAL EQUATION of the second degree , and of SURFACES OF THE SECOND ORDER . DAVIES ' DESCRIPTIVE GEOMETRY , With its application to ...
Page 9
... A line is length without breadth , or thickness . The 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 ...
... A line is length without breadth , or thickness . The 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 ...
Page 10
Adrien Marie Legendre. 9. When two straight lines , AB , AC , meet each other , their inclination or opening is call ... line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other ...
Adrien Marie Legendre. 9. When two straight lines , AB , AC , meet each other , their inclination or opening is call ... line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other ...
Page 13
... line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the product of A by the quantity B + C - D . If A + B were to be multiplied by A ... straight line meet another BOOK I. 13.
... line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the product of A by the quantity B + C - D . If A + B were to be multiplied by A ... straight line meet another BOOK I. 13.
Page 14
Adrien Marie Legendre. PROPOSITION I. THEOREM . If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . Let the straight line DC meet the straight line AB at C , then will ...
Adrien Marie Legendre. PROPOSITION I. THEOREM . If one straight line meet another straight line , the sum of the two adjacent angles will be equal to two right angles . Let the straight line DC meet the straight line AB at C , then will ...
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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