Elements of Geometry and Trigonometry |
From inside the book
Results 1-5 of 50
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 of one right angle . Cor . 3. The sum of the angles of a hexagon is equal ...
... 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 of one right angle . Cor . 3. The sum of the angles of a hexagon is equal ...
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 pro- portional , or , invasely proportional ...
... 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 pro- portional , or , invasely proportional ...
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 ...
Other editions - View all
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