Elements of Geometry and Trigonometry |
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Page 6
... 252 · Solution of Right angled Spherical Triangles by Logarithms , 255 Quadrantal Triangles , 257 Solution of Oblique angled Triangles by Logarithms , 259 · AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO vi CONTENTS .
... 252 · Solution of Right angled Spherical Triangles by Logarithms , 255 Quadrantal Triangles , 257 Solution of Oblique angled Triangles by Logarithms , 259 · AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO vi CONTENTS .
Page 7
Adrien Marie Legendre Charles Davies. AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX BOOKS OF EUCLID . Euclid . Legendre . Euclid . Legendre . Euclid . Legendre . Book I ...
Adrien Marie Legendre Charles Davies. AN INDEX SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX BOOKS OF EUCLID . Euclid . Legendre . Euclid . Legendre . Euclid . Legendre . Book I ...
Page 12
... corresponding signification , with respect to the angles . In both cases , the equal sides , or the equal angles , are named homologous sides or angles . Definitions of terms employed in Geometry . An axiom is a self - evident ...
... corresponding signification , with respect to the angles . In both cases , the equal sides , or the equal angles , are named homologous sides or angles . Definitions of terms employed in Geometry . An axiom is a self - evident ...
Page 32
... the figure be a par- allelogram . - D N C A B For , having drawn the diagonal BD , the triangles ABD , BDC , have all the sides of the one equal to the corresponding sides of the other ; therefore they are 32 GEOMETRY .
... the figure be a par- allelogram . - D N C A B For , having drawn the diagonal BD , the triangles ABD , BDC , have all the sides of the one equal to the corresponding sides of the other ; therefore they are 32 GEOMETRY .
Page 33
... corresponding sides of the other , and are 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 ...
... corresponding sides of the other , and are 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 ...
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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 consequently convex surface cylinder diagonal diameter dicular distance draw drawn equal angles equally distant equation equiangular equivalent figure formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC let fall logarithm measured by half number of sides 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 solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex