## Elements of Geometry and Trigonometry |

### From inside the book

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**tangent**. The point M , where the**tangent**touches the circumference , is called the point of contact . In like manner , two circumferences touch each other when they have but one point in common . OOK 9. A polygon is circumscribed about ... Page 47

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**tangent**to the circumference . Let BD be perpendicular to the B radius CA , at its extremity A ; then will it be**tangent**to the circumfe- rence . For , every oblique line CE , is longer than the perpendicular CA ( Book I. Prop . XV ... Page 48

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**tangent**would be shorter than CA ; hence this supposed**tangent**would enter the circle , and be a secant . PROPOSITION X. THEOREM . Two parallels intercept equal arcs on the circumference . There may be three cases . First . If the two ... Page 50

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**tangent**to each other . For , they have only the point A common , and it through the point A , AE be drawn perpendicular to AD , the straight line AE will be a common**tangent**to all the circles . PROPOSITION XV . THEOREM . In the same ... Page 56

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**tangent**and a chord , is measured by half of the arc included between its sides . Let BE be the**tangent**, and AC the chord 56 GEOMETRY .### Other editions - View all

### Common terms and phrases

adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex