Elements of Geometry and Trigonometry |
From inside the book
Page 79
... hypothenuse is to the square of one of the sides about the right angle , as the hypothenuse is to the seg- ment adjacent to that side . The word segment here denotes that part of the hypothenuse , which is cut off by the perpen- dicular ...
... hypothenuse is to the square of one of the sides about the right angle , as the hypothenuse is to the seg- ment adjacent to that side . The word segment here denotes that part of the hypothenuse , which is cut off by the perpen- dicular ...
Page 88
... hypothenuse and the adjacent segment . 3d . The perpendicular will be a mean proportional between the two segments of the hypothenuse . h Let BAC be a right angled triangle , and AD perpendicular to the hypothenuse BC . First . The ...
... hypothenuse and the adjacent segment . 3d . The perpendicular will be a mean proportional between the two segments of the hypothenuse . h Let BAC be a right angled triangle , and AD perpendicular to the hypothenuse BC . First . The ...
Page 89
... hypothenuse and the segment adjacent to that side . Thirdly . Since the triangles ABD , ADC , are similar , by comparing their homologous sides , we have BD : AD :: AĎ : DC ; hence , the perpendicular AD is a mean proportional between ...
... hypothenuse and the segment adjacent to that side . Thirdly . Since the triangles ABD , ADC , are similar , by comparing their homologous sides , we have BD : AD :: AĎ : DC ; hence , the perpendicular AD is a mean proportional between ...
Contents
BOOK | 7 |
Problems relating to the First and Third Books 57 | 57 |
BOOK IV | 68 |
14 other sections not shown
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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