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 HD I G BC 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 HD I G BC 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 one of the sides of a right an- gled triangle is equivalent to the square of the hypothenuse diminished by ... described on the A diagonal AC , is double of the square described on the side AB . D G E B F C This property ...
... square of one of the sides of a right an- gled triangle is equivalent to the square of the hypothenuse diminished by ... described on the A diagonal AC , is double of the square described on the side AB . D G E B F C This property ...
Page 103
... square ( Prob . VI . ) ; and thus a square may always be found equivalent to a given rectilineal figure , which ... described upon EH will be equivalent to the difference of the squares described upon the lines A and B. For the ...
... square ( Prob . VI . ) ; and thus a square may always be found equivalent to a given rectilineal figure , which ... described upon EH will be equivalent to the difference of the squares described upon the lines A and B. For the ...
Contents
BOOK | 7 |
BOOK III | 41 |
Problems relating to the First and Third Books | 57 |
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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