Elements of Geometry and Trigonometry |
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Page 23
... perpendicular , and AD , AC , AE , the oblique lines . Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . A D C BE F First . The triangle BCF , is equal to the triangle BCA , for they have the right angle CBF = CBA ...
... perpendicular , and AD , AC , AE , the oblique lines . Produce the perpendicular AB till BF is equal to AB , and draw FC , FD . A D C BE F First . The triangle BCF , is equal to the triangle BCA , for they have the right angle CBF = CBA ...
Page 130
... perpendicular ; for all the triangles ABP , ACP , ADP , & c . are equal to each other . PROPOSITION VI . THEOREM . If from a point without a plane , a perpendicular be let fall on the plane , and from the foot of the perpendicular a ...
... perpendicular ; for all the triangles ABP , ACP , ADP , & c . are equal to each other . PROPOSITION VI . THEOREM . If from a point without a plane , a perpendicular be let fall on the plane , and from the foot of the perpendicular a ...
Page 137
... perpendicular to each other . Scholium . When three straight lines , such as AP , BP , DP , are perpendicular to each other , each of those lines is perpen- dicular to the plane of the other two , and the three planes are perpendicular ...
... perpendicular to each other . Scholium . When three straight lines , such as AP , BP , DP , are perpendicular to each other , each of those lines is perpen- dicular to the plane of the other two , and the three planes are perpendicular ...
Contents
BOOK | 7 |
BOOK III | 41 |
Problems relating to the First and Third Books | 57 |
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Common terms and phrases
adjacent altitude angle ACB 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 equal angles 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 parallel parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex