Elements of Geometry and Trigonometry |
From inside the book
Page 25
... meet , how far soever either way , both of them be produced . Let the two lines AC , BD , A be perpendicular to AB ; then will they be parallel . For , if they could meet in a point O , on either side of AB , there would be two per- B ...
... meet , how far soever either way , both of them be produced . Let the two lines AC , BD , A be perpendicular to AB ; then will they be parallel . For , if they could meet in a point O , on either side of AB , there would be two per- B ...
Page 27
... meet two parallel lines , the alternate angles will be equal . Let AB , CD , be the parallels , and A FE the secant line . The sum OGB + GOD is equal to two right angles . But the sum OGB + QGA is also equal to two right angles ' ( Prop ...
... meet two parallel lines , the alternate angles will be equal . Let AB , CD , be the parallels , and A FE the secant line . The sum OGB + GOD is equal to two right angles . But the sum OGB + QGA is also equal to two right angles ' ( Prop ...
Page 133
... meet any where , let O be one of their common points , and draw OA , OB ; the line AB which is perpendicular to the plane MN , is perpendicular to the P B straight line OA drawn through its foot in that plane ; for the same reason AB is ...
... meet any where , let O be one of their common points , and draw OA , OB ; the line AB which is perpendicular to the plane MN , is perpendicular to the P B straight line OA drawn through its foot in that plane ; for the same reason AB is ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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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 consequently convex surface cosine 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 homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex