Elements of Geometry and Trigonometry |
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Page 132
... parallel to a third C , are par- allel to each other ; for , conceive a plane perpendicular to the line C ; the lines A and B , being parallel to C , will be perpen- dicular to the same plane ; therefore , by the preceding Corol- lary ...
... parallel to a third C , are par- allel to each other ; for , conceive a plane perpendicular to the line C ; the lines A and B , being parallel to C , will be perpen- dicular to the same plane ; therefore , by the preceding Corol- lary ...
Page 134
... parallels comprehended between two parallel planes are equal . Let MN , PQ , be two parallel planes , and FH , GE , two paral- lel lines : then will EG = FH For , through the parallels EG , FH , draw the plane EGHF , in- tersecting the ...
... parallels comprehended between two parallel planes are equal . Let MN , PQ , be two parallel planes , and FH , GE , two paral- lel lines : then will EG = FH For , through the parallels EG , FH , draw the plane EGHF , in- tersecting the ...
Page 135
... parallel and lying in the same direction , those angles will be equal and their planes will be parallel . Let the angles be CAE and DBF . Make AC BD , AE = BF ; and draw CE , DF , AB , CD , EF . Since AC is equal and parallel to BD ...
... parallel and lying in the same direction , those angles will be equal and their planes will be parallel . Let the angles be CAE and DBF . Make AC BD , AE = BF ; and draw CE , DF , AB , CD , EF . Since AC is equal and parallel to BD ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
14 other sections not shown
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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