Elements of Geometry and Trigonometry |
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Page 13
... multiplied by A - B + C , the product would be indicated thus , ( A + B ) × ( A - B + C ) , whatever is enclosed within the curved lines , being considered as a single quantity . A number placed before a line , or a quantity , serves as ...
... multiplied by A - B + C , the product would be indicated thus , ( A + B ) × ( A - B + C ) , whatever is enclosed within the curved lines , being considered as a single quantity . A number placed before a line , or a quantity , serves as ...
Page 30
... there are units in the number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right angles : hence , if all the angles of. 30 GEOMETRY .
... there are units in the number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right angles : hence , if all the angles of. 30 GEOMETRY .
Page 31
... multiplied by 5-2 , which amounts to six right angles : hence , when a pentagon is equiangular , each angle is equal to the fifth part of six right angles , or to g of one right angle . Cor . 3. The sum of the angles of a hexagon is ...
... multiplied by 5-2 , which amounts to six right angles : hence , when a pentagon is equiangular , each angle is equal to the fifth part of six right angles , or to g of one right angle . Cor . 3. The sum of the angles of a hexagon is ...
Page 35
... multiplying the quantities by the same number : thus , m × A , m × B , are equimultiples of A and B , the common multiplier being m . 10. Two quantities A and B are said to be reciprocally proportional , or inversely proportional , when ...
... multiplying the quantities by the same number : thus , m × A , m × B , are equimultiples of A and B , the common multiplier being m . 10. Two quantities A and B are said to be reciprocally proportional , or inversely proportional , when ...
Page 38
... multiplying both members of the equation by mxn . But m . M and n . Q , may be regarded as the two extremes , and n . N and m . P , as the means of a propor- tion ; hence , m . M : n . N :: m . P : n . Q. PROPOSITION IX . THEOREM . Of ...
... multiplying both members of the equation by mxn . But m . M and n . Q , may be regarded as the two extremes , and n . N and m . P , as the means of a propor- tion ; hence , m . M : n . N :: m . P : n . Q. PROPOSITION IX . THEOREM . Of ...
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Common terms and phrases
adjacent adjacent angles altitude angle ACB angle BAC ar.-comp base multiplied bisect Book VII centre chord circ circumference circumscribed common cone convex surface Cosine cylinder diagonal diameter dicular distance divided draw drawn equally distant equations equivalent feet figure find the area formed four right angles frustum given angle given line gles greater homologous sides hypothenuse inscribed circle inscribed polygon intersection less Let ABC logarithm number of sides opposite parallelogram parallelopipedon pendicular perimeter perpen perpendicular perpendicular let fall plane MN polyedron polygon ABCDE PROBLEM proportional PROPOSITION pyramid quadrant quadrilateral quantities radii radius ratio rectangle regular polygon right angled triangle S-ABCDE Scholium secant segment similar Sine Cotang slant height solid angle solid described sphere spherical polygon spherical triangle square described straight line tang tangent THEOREM triangle ABC triangular prism vertex