Elements of Geometry and Trigonometry Translated from the French of A.M. Legendre, by David Brewster: Revised and Adapted to the Course of Mathematical Instruction in the United States |
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Page 4
... Book V. , which proves that a polygon and circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh ... BOOK I. The principles , BOOK II . iv PREFACE .
... Book V. , which proves that a polygon and circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh ... BOOK I. The principles , BOOK II . iv PREFACE .
Page 5
... BOOK I. The principles , BOOK II . 84 Ratios and Proportions , BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas ...
... BOOK I. The principles , BOOK II . 84 Ratios and Proportions , BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The Proportions of Figures and the Measurement of Areas ...
Page 7
... Book I. Book I. Cor.2 . of 32 Prop . 27 Prop . 26 Prop . 15 33 30 28 Prop . 4 Prop . 51 34 28 29 55 5 5 11 Book IV . Cor . of 5 Cor . of 11 31 12 35 & 3 . ( Cor . 2. 18 8 10 36 1 Book IV . 13 37 Cor . 2. of 2 14 38 Cor . 2. of 2 35 28 ...
... Book I. Book I. Cor.2 . of 32 Prop . 27 Prop . 26 Prop . 15 33 30 28 Prop . 4 Prop . 51 34 28 29 55 5 5 11 Book IV . Cor . of 5 Cor . of 11 31 12 35 & 3 . ( Cor . 2. 18 8 10 36 1 Book IV . 13 37 Cor . 2. of 2 14 38 Cor . 2. of 2 35 28 ...
Page 13
... be drawn which shall be parallel to a given line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are equal . PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
... be drawn which shall be parallel to a given line . 13. Magnitudes , which being applied to each other , coincide throughout their whole extent , are equal . PROPOSITION I. THEOREM . If one straight line meet another BOOK I. 13.
Page 33
... therefore equal : whence it follows that the angles AEB , BEC , are equal , and therefore , that the two diagonals of a rhombus cut each other at right angles . C BOOK II . OF RATIOS AND PROPORTIONS . Definitions . BOOK I. 33.
... therefore equal : whence it follows that the angles AEB , BEC , are equal , and therefore , that the two diagonals of a rhombus cut each other at right angles . C BOOK II . OF RATIOS AND PROPORTIONS . Definitions . BOOK I. 33.
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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 convex surface Cosine Sine 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 hence homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant segment similar slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex