Elements of Geometry and Trigonometry |
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Page 76
... square ACDE ; take AF E AB ; draw FG parallel to AC , and BH par- allel to AE . = F H D B C The square ACDE is made up of four parts ; the first ABIF is the square described on AB , since we made AF - AB : the second IDGH is A the square ...
... square ACDE ; take AF E AB ; draw FG parallel to AC , and BH par- allel to AE . = F H D B C The square ACDE is made up of four parts ; the first ABIF is the square described on AB , since we made AF - AB : the second IDGH is A the square ...
Page 79
... square of the hypothenuse diminished by the square of the other side ; which is as ex- pressed : AB2 = BC2 —AC2 . Cor . 2. It has just been shown that the square AH is equi- valent to the rectangle BDEF ; but by reason of the common ...
... square of the hypothenuse diminished by the square of the other side ; which is as ex- pressed : AB2 = BC2 —AC2 . Cor . 2. It has just been shown that the square AH is equi- valent to the rectangle BDEF ; but by reason of the common ...
Page 103
... square ( Prob . VI . ) ; and thus a square may always be found equivalent to a given rectilineal figure , which operation is called squaring the rectilineal figure , or finding the quadrature of it . The problem of the quadrature of the ...
... square ( Prob . VI . ) ; and thus a square may always be found equivalent to a given rectilineal figure , which operation is called squaring the rectilineal figure , or finding the quadrature of it . The problem of the quadrature of the ...
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