Elements of Geometry and Trigonometry |
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Page 23
... the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular , will be unequally dis- tant from those extremities . Let AB be the given straight line , C the BOOK I. 23.
... the perpendicular will be equally distant from the extremities of the line . 2d , Every point , without the perpendicular , will be unequally dis- tant from those extremities . Let AB be the given straight line , C the BOOK I. 23.
Page 29
... angles ( Prop . I. ) . Cor . 1. Two angles of a triangle being given , or merely their sum , the third will be found by subtracting that sum from two right angles . C✶ Cor . 2. If two angles of one triangle are BOOK I. 29.
... angles ( Prop . I. ) . Cor . 1. Two angles of a triangle being given , or merely their sum , the third will be found by subtracting that sum from two right angles . C✶ Cor . 2. If two angles of one triangle are BOOK I. 29.
Page 33
... 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 PROPORTIONS . Definitions . 5 BOOK I. 33.
... 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 PROPORTIONS . Definitions . 5 BOOK I. 33.
Page 34
Adrien Marie Legendre Charles Davies. 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 ... BOOK II Ratios and Proportions,
Adrien Marie Legendre Charles Davies. 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 ... BOOK II Ratios and Proportions,
Page 41
Adrien Marie Legendre Charles Davies. BOOK III . THE CIRCLE , AND THE MEASUREMENT OF ANGLES . Definitions . 1. The circumference of a circle is a curved line , all the ... BOOK III . 41 ' BOOK III The Circle and the Measurement of Angles,
Adrien Marie Legendre Charles Davies. BOOK III . THE CIRCLE , AND THE MEASUREMENT OF ANGLES . Definitions . 1. The circumference of a circle is a curved line , all the ... BOOK III . 41 ' BOOK III The Circle and the Measurement of Angles,
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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