## Elements of Geometry and Trigonometry |

### From inside the book

Results 6-10 of 54

Page 42

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**vertices**in the circumference . The circle is then said to circumscribe such a figure . 7. A secant is a line which meets the circum- ference in two points , and lies partly within and partly without the circle . AB is a secant . 8. A ... Page 51

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**vertices**at the centre , intercept equal arcs on the circumference : and conversely , if the arcs intercepted are equal , the angles contained by the radii will also be equal . Let C and C be the centres of equal circles , and the angle ... Page 52

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**vertices**of the angles as centres with equal radii . Let ACB be the greater and ACD the less angle . Let the less angle be placed on the greater . If the propo- sition is not truc , the angle A ACB will be to the angle ACD as the arc AB ... Page 59

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**vertex**K , as a cen- tre , with any radius , describe the arc IL , terminating in the two sides of the angle . From the K point A as a centre , with a dis- 44 ΙΑ B tance AB , equal to KI , describe the indefinite arc BO ; then take a ... Page 68

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**vertex**of an angle on the opposite side , taken as a base . Thus , AD is the altitude of the triangle BAC A B D DE 6. The altitude of a parallelogram is the perpendicular which measures the distance between two opposite sides taken as ...### 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