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. 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
Adrien Marie Legendre Charles Davies. CONTENTS . BOOK I. The principles , BOOK II . Ratios and Proportions , 34 BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The ...
Adrien Marie Legendre Charles Davies. CONTENTS . BOOK I. The principles , BOOK II . Ratios and Proportions , 34 BOOK III . The Circle and the Measurement of Angles , Problems relating to the First and Third Books , BOOK IV . The ...
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 5 11 Book IV . Cor . of 5 Cor . of 11 6 12 35 1 31 Cor . 2.18 & 3 . 8 10 36 1 Book IV . 13 1 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 5 Prop . 4 Prop . 5 34 28 29 5 5 11 Book IV . Cor . of 5 Cor . of 11 6 12 35 1 31 Cor . 2.18 & 3 . 8 10 36 1 Book IV . 13 1 37 Cor . 2. of 2 14 38 Cor . 2. of 2 35 28 ...
Page 11
... which has all its angles equal . 20. Two polygons are mutually equilateral , when they have their sides equal each to each , and placed in the same order ; that is to say , when following their perimeters in BOOK I. 11.
... which has all its angles equal . 20. Two polygons are mutually equilateral , when they have their sides equal each to each , and placed in the same order ; that is to say , when following their perimeters in BOOK I. 11.
Page 19
... the three sides of the one equal to the three sides of the other , each to each , the three angles will also be equal , each to each , and the triangles themselves will be equal . Let the side ED = BA , the side EF BOOK I. 19.
... the three sides of the one equal to the three sides of the other , each to each , the three angles will also be equal , each to each , and the triangles themselves will be equal . Let the side ED = BA , the side EF BOOK I. 19.
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book centre chord circ circumference circumscribed common cone convex surface Cosine Cotang cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular plane MN polyedron polygon ABCDE prism proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABC Scholium secant secant line segment side BC similar sine solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex