Elements of Geometry and Trigonometry: From the Works of A. M. Legendre |
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Page 10
... square root of A , and the cube root of B , are to be taken . When a compound quantity is to be operated upon as a single quantity , its parts are connected by a vinculum or by a parenthesis : Thus , A + B x C , indicates that the sum ...
... square root of A , and the cube root of B , are to be taken . When a compound quantity is to be operated upon as a single quantity , its parts are connected by a vinculum or by a parenthesis : Thus , A + B x C , indicates that the sum ...
Page 11
... square root of A is less than the cube root of B. The opening of the sign is towards the greater quantity . The sign , .. is used as an abbreviation of the word hence , or consequently . 5. The general truths of Geometry are deduced by ...
... square root of A is less than the cube root of B. The opening of the sign is towards the greater quantity . The sign , .. is used as an abbreviation of the word hence , or consequently . 5. The general truths of Geometry are deduced by ...
Page 17
... all right angles . A SQUARE is an equilateral rectangle . 2. A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . AXIOMS . 1. Things which are equal to the same BOOK I. 17.
... all right angles . A SQUARE is an equilateral rectangle . 2. A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . AXIOMS . 1. Things which are equal to the same BOOK I. 17.
Page 52
... square of the mean is portional quantities ; in this equal to the product of the extremes . PROPOSITION II . THEOREM . If the product of two quantities is equal to the product of two other quantities , two of them may be made the means ...
... square of the mean is portional quantities ; in this equal to the product of the extremes . PROPOSITION II . THEOREM . If the product of two quantities is equal to the product of two other quantities , two of them may be made the means ...
Page 58
... square of the corresponding term in either of the given pro- portions hence , If four quantities are proportional , their squares will be proportional . Cor . 2. If the principle of the proposition be extended to three or more ...
... square of the corresponding term in either of the given pro- portions hence , If four quantities are proportional , their squares will be proportional . Cor . 2. If the principle of the proposition be extended to three or more ...
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Common terms and phrases
ABĀ² ABCD altitude apothem Applying logarithms centre chord circle circumference cone consequently convex surface cosec Cosine Cotang cylinder demonstrated in Book denote diameter distance divided draw edges Equation feet find the area Find the logarithmic following RULE frustum given angle greater hence homologous hypothenuse included angle inscribed intersection less Let ABC linear units log cot log sin lower base lune mantissa multiplied number of sides opposite parallel parallelogram parallelopipedon perpendicular plane MN polar triangle polyedral angle polyedron principle demonstrated prism proportional PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium segment similar six right slant height solution sphere spherical angle spherical excess spherical polygon spherical triangle square straight line subtracting Tang tangent THEOREM triangle ABC triangular prism upper base vertex volume whence write the following