Elements of Geometry and Trigonometry |
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Page 77
... difference ; then is AC2 , or ( AB — BC ) 2 = AB2 + BC2—2AB × BC . Describe the square ABIF ; take AE L F = AC ... difference of two lines , is equivalent to the difference of the squares of those lines . Let AB , BC , be two lines ...
... difference ; then is AC2 , or ( AB — BC ) 2 = AB2 + BC2—2AB × BC . Describe the square ABIF ; take AE L F = AC ... difference of two lines , is equivalent to the difference of the squares of those lines . Let AB , BC , be two lines ...
Page 159
... difference . Divide the altitude AT into equal parts Ax , xy , yz , & c . each less than Aa , and let k be one of ... difference , between the sum of all the exterior prisms and the sum of all the interior ones , must be greater than the ...
... difference . Divide the altitude AT into equal parts Ax , xy , yz , & c . each less than Aa , and let k be one of ... difference , between the sum of all the exterior prisms and the sum of all the interior ones , must be greater than the ...
Page 232
... difference of the logarithms is 65. Now , as 100 , the difference of the numbers , is to 65 , the difference of their logarithms , so is 87 , the diffe- rence between the given number and the least of the numbers used , to the difference ...
... difference of the logarithms is 65. Now , as 100 , the difference of the numbers , is to 65 , the difference of their logarithms , so is 87 , the diffe- rence between the given number and the least of the numbers used , to the difference ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
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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 consequently convex surface cosine Cotang 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 number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE PROBLEM Prop proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar sine slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line TABLE OF LOGARITHMIC tang tangent THEOREM triangle ABC triangular prism vertex