Elements of Geometry and Trigonometry |
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Page 50
... common , and they will have no other ; because , if they had two points common , the distance between E C- A D their centres must be less than the sum of their radii . PROPOSITION XIV . THEOREM . If the distance between the centres of ...
... common , and they will have no other ; because , if they had two points common , the distance between E C- A D their centres must be less than the sum of their radii . PROPOSITION XIV . THEOREM . If the distance between the centres of ...
Page 66
... common measure . Let AB and CD be the given lines . From the greater AB cut off a part equal to the less CD , as many times as possible ; for example , twice , with the remainder BE . From the line CD , cut off a part equal to the re ...
... common measure . Let AB and CD be the given lines . From the greater AB cut off a part equal to the less CD , as many times as possible ; for example , twice , with the remainder BE . From the line CD , cut off a part equal to the re ...
Page 137
... common intersection BP , measures the angle of the two planes AB , MN ( Def . 4. ) ; therefore , since that angle is a right angle , the two planes are perpendicular to each other . Scholium . When three straight lines , such as AP , BP ...
... common intersection BP , measures the angle of the two planes AB , MN ( Def . 4. ) ; therefore , since that angle is a right angle , the two planes are perpendicular to each other . Scholium . When three straight lines , such as AP , BP ...
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