Elements of Geometry and Trigonometry |
From inside the book
Results 1-3 of 55
Page 122
... circumference whose diameter is 1 , or the ratio of the circumference to the diameter . D In like manner , the area of the circle , whose radius is OB , will be equal to π × OB2 ; but π × CA2 : π × OB2 : : CA2 : OBo ; hence the areas of ...
... circumference whose diameter is 1 , or the ratio of the circumference to the diameter . D In like manner , the area of the circle , whose radius is OB , will be equal to π × OB2 ; but π × CA2 : π × OB2 : : CA2 : OBo ; hence the areas of ...
Page 200
... circumference . Let AMBN be a lune ; then will's surface be to the surface of the sphere as the angle NCM to four right angles , or as the arc NM to the circumference of a great circle . Suppose , in the first place , the arc MN to be ...
... circumference . Let AMBN be a lune ; then will's surface be to the surface of the sphere as the angle NCM to four right angles , or as the arc NM to the circumference of a great circle . Suppose , in the first place , the arc MN to be ...
Page 281
... circumference of a circle when the diameter is given , or the diameter when the circumference is given . RULE . Multiply the diameter by 3.1416 , and the product will be the circumference ; or , divide the circumference by 3.1416 ...
... circumference of a circle when the diameter is given , or the diameter when the circumference is given . RULE . Multiply the diameter by 3.1416 , and the product will be the circumference ; or , divide the circumference by 3.1416 ...
Contents
BOOK | 7 |
BOOK III | 41 |
Problems relating to the First and Third Books | 57 |
15 other sections not shown
Other editions - View all
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