Elements of Geometry and Trigonometry Translated from the French of A.M. Legendre, by David Brewster: Revised and Adapted to the Course of Mathematical Instruction in the United States |
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Page 14
... formed on the same side of the straight line BF , is equal to two right angles ; for their sum is equal to that of the two adjacent an- gles , BAC , CAF . D E B A F 1 PROPOSITION II . THEOREM . Two straight lines , which have two points ...
... formed on the same side of the straight line BF , is equal to two right angles ; for their sum is equal to that of the two adjacent an- gles , BAC , CAF . D E B A F 1 PROPOSITION II . THEOREM . Two straight lines , which have two points ...
Page 16
... formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ; and the sum of the other two , ACD , DCB , is ...
... formed about a point by two straight lines , which intersect each other , are together equal to four right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ; and the sum of the other two , ACD , DCB , is ...
Page 26
... formed take particular names . Interior angles on the same side , are those which lie within the parallels , and on the same side of the secant line : thus , OGB , GOD , are interior angles on the same side ; and so also are the the ...
... formed take particular names . Interior angles on the same side , are those which lie within the parallels , and on the same side of the secant line : thus , OGB , GOD , are interior angles on the same side ; and so also are the the ...
Page 27
... formed by a line cutting two parallel lines obliquely , the four acute angles are equal to each other , and so also are the four obtuse angles . PROPOSITION XXI . THEOREM . If a straight line meet two other straight lines , making the ...
... formed by a line cutting two parallel lines obliquely , the four acute angles are equal to each other , and so also are the four obtuse angles . PROPOSITION XXI . THEOREM . If a straight line meet two other straight lines , making the ...
Page 41
... formed by two chords . C B * Note . In common language , the circle is sometimes confounded with its circumference : but the correct expression may always be easily recurred to if we bear in mind that the circle is a surface which has ...
... formed by two chords . C B * Note . In common language , the circle is sometimes confounded with its circumference : but the correct expression may always be easily recurred to if we bear in mind that the circle is a surface which has ...
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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 Sine Cotang 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 hence 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-ABC Scholium secant segment similar slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex