Elements of Geometry and Trigonometry |
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Page 9
... 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 ...
... 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 Charles Davies. 9. When two straight lines , AB , AC , meet each other , their inclination or ... line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of ...
Adrien Marie Legendre Charles Davies. 9. When two straight lines , AB , AC , meet each other , their inclination or ... line AB meets another straight line CD , so as to make the adjacent angles BAC , BAD , equal to each other , each of ...
Page 13
... line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the ... straight line can be drawn . 12. Through the same point , only one straight line can be drawn which shall be parallel ...
... line AB , which expresses the distance between the points A and B. The expression Ax ( B + C - D ) represents the ... straight line can be drawn . 12. Through the same point , only one straight line can be drawn which shall be parallel ...
Page 14
Adrien Marie Legendre Charles Davies. 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 . E B Let the straight line DC meet the straight line ...
Adrien Marie Legendre Charles Davies. 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 . E B Let the straight line DC meet the straight line ...
Page 15
... line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a straight line , the angle FCE ... straight lines , intersecting BOOK I. 15.
... line CF , making with AC the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1. ) ; and since ACE is a straight line , the angle FCE ... straight lines , intersecting BOOK I. 15.
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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