## Elements of Geometry and Trigonometry |

### From inside the book

Results 6-10 of 42

Page 28

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**distance**of the parallels AB and CD at the point E , is equal to the side FH , which measures the**distance**of the same parallels at the point F. PROPOSITION XXIV . THEOREM . If two angles have their 28 GEOMETRY . Page 46

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**distances**OA , OB , OC , are equal ; there- fore the circumference described from the centre O , with the radius OB , will pass through the three given points A , B , C. We have now shown that one circumference can always be made to ... Page 47

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**distance**from the centre . First . Suppose the chord AB = DE . Bisect these chords by the per- pendiculars CF , CG , and draw the radii CA , CD . In the right angled triangles CAF , DCG , the hypothenuses CA , CD , are equal ; and the ... Page 49

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**distance**between the centres of two circles is less than the sum of the radii , the greater radius being at the same time less than the sum of the smaller and the**distance**between the centres , the two circumferences will cut each other ... Page 50

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**distance**from each other equal to CA + AD . The circles will evidently have the point A common , and they will have no other ; because , if they had two points common , the**distance**between C E their centres must be less than the sum of ...### Other editions - View all

### 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 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 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-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex