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 Encyclopedia . It ... BOOK I. 9 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 Encyclopedia . It ... BOOK I. 9 BOOK II iv PREFACE .
Page 5
Adrien Marie Legendre Charles Davies. CONTENTS . The principles , BOOK I. 9 BOOK II . 34 41 57 11 59 Ratios and Proportions , BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV ...
Adrien Marie Legendre Charles Davies. CONTENTS . The principles , BOOK I. 9 BOOK II . 34 41 57 11 59 Ratios and Proportions , BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV ...
Page 7
... Book I. Book I. Cor.2 . of 32 Prop . 27 Prop . 33 30 Prop . 4 Prop . 5 34 28 282 26 Prop . 15 28 29 55 5 11 Book IV . Cor . of 5 Cor . of 21 ) 31 12 35 1 S Cor . 2 . & 3 . 18 10 36 Book IV . 13 1 37 Cor . 2. of 2 14 38 Cor . 2. of 2 35 ...
... Book I. Book I. Cor.2 . of 32 Prop . 27 Prop . 33 30 Prop . 4 Prop . 5 34 28 282 26 Prop . 15 28 29 55 5 11 Book IV . Cor . of 5 Cor . of 21 ) 31 12 35 1 S Cor . 2 . & 3 . 18 10 36 Book IV . 13 1 37 Cor . 2. of 2 14 38 Cor . 2. of 2 35 ...
Page 9
... plane surfaces , is a curved surface . 8. A solid or body is that which has length , breadth , and thickness ; and therefore combines the three dimensions of extension . 9. When two straight lines , AB , AC , The principles, BOOK.
... plane surfaces , is a curved surface . 8. A solid or body is that which has length , breadth , and thickness ; and therefore combines the three dimensions of extension . 9. When two straight lines , AB , AC , The principles, BOOK.
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 . 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 . BOOK II . OF RATIOS AND PROPORTIONS . Definitions . BOOK I. 33.
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Common terms and phrases
adjacent altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface cosine cotangent 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 measured by half number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular 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 slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex