Elements of Geometry and Trigonometry |
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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 by a parenthesis : or Thus , A + B × 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 by a parenthesis : or Thus , A + B × 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 , ... 18 used as an abbreviation of the word hence , or consequently . The symbols , 1o , 2o , etc. , mean , 1st , 2d ...
... square root of A is less than the cube root of B. The opening of the sign is towards the greater quantity . The sign , ... 18 used as an abbreviation of the word hence , or consequently . The symbols , 1o , 2o , etc. , mean , 1st , 2d ...
Page 17
... all right angles . A SQUARE is an equilateral rectangle . 2d . A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . 29. SPACE is indefinite extension . 30. A VOLUME is 2 BOOK I. 17.
... all right angles . A SQUARE is an equilateral rectangle . 2d . A RHOMBOID is a parallelogram whose angles are all oblique . A RHOMBUS is an equilateral rhomboid . 29. SPACE is indefinite extension . 30. A VOLUME is 2 BOOK I. 17.
Page 52
... square of the mean is equal to the product of the extremes . PROPOSITION II . THEOREM . If the product of two factors is equal to the product of two other factors , either pair of factors may be made the extremes and the other pair the ...
... square of the mean is equal to the product of the extremes . PROPOSITION II . THEOREM . If the product of two factors is equal to the product of two other factors , either pair of factors may be made the extremes and the other pair the ...
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
ABCD AC² adjacent angles altitude angle ACB apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin logarithm lower base mantissa mean proportional measured by half middle point number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROBLEM PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment side BC similar sine slant height sphere spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence