Elements of Geometry and Trigonometry |
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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. 9 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. 9 The principles , BOOK II iv PREFACE .
Page 5
Adrien Marie Legendre. CONTENTS . BOOK I. 9 The principles , BOOK II . 34 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 ...
Adrien Marie Legendre. CONTENTS . BOOK I. 9 The principles , BOOK II . 34 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 ...
Page 7
... Book I. Book I. Cor.2 . of 32 Prop . 27 Prop . 26 Prop . 15 33 30 28 5 Prop . 4 Prop . 5 34 28 29 5 11 Book IV . Cor . of 5 Cor . of 11 Cor . 2 . 6 12 35 1 31 18 & 3 . 8 10 36 1 Book IV . 13 1 37 Cor . 2. of 2 38 Cor . 2. of 2 35 28 4 2 ...
... Book I. Book I. Cor.2 . of 32 Prop . 27 Prop . 26 Prop . 15 33 30 28 5 Prop . 4 Prop . 5 34 28 29 5 11 Book IV . Cor . of 5 Cor . of 11 Cor . 2 . 6 12 35 1 31 18 & 3 . 8 10 36 1 Book IV . 13 1 37 Cor . 2. of 2 38 Cor . 2. of 2 35 28 4 2 ...
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.
Page 34
Adrien Marie Legendre. BOOK II . OF RATIOS AND PROPORTIONS . Definitions . 1. Ratio is the quotient arising from dividing one quantity by another quantity of the same kind . Thus , if A and B rep- esent ... BOOK II Ratios and Proportions,
Adrien Marie Legendre. BOOK II . OF RATIOS AND PROPORTIONS . Definitions . 1. Ratio is the quotient arising from dividing one quantity by another quantity of the same kind . Thus , if A and B rep- esent ... BOOK II Ratios and Proportions,
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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 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 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-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex