A general view of the sciences and arts, Τόμος 1 |
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Σελίδα 16
... rules of this science . Since its first invention , geometry has been so extended , and applied to such a variety of other objects , that , united with arithmetic , it is now become the general foundation of the ma- thematical science ...
... rules of this science . Since its first invention , geometry has been so extended , and applied to such a variety of other objects , that , united with arithmetic , it is now become the general foundation of the ma- thematical science ...
Σελίδα 49
... rules and methods , by which numerical measures of geometrical quantities are obtained . In all practical applications of mathematics , it is necessary to express magnitudes , of every kind , by numbers . For this purpose , a line of ...
... rules and methods , by which numerical measures of geometrical quantities are obtained . In all practical applications of mathematics , it is necessary to express magnitudes , of every kind , by numbers . For this purpose , a line of ...
Σελίδα 56
... rules of plane trigonometry , the radius is to the tangent BCD , as DC is to DB . By employing the logarithmic tables , and pro- ceeding as is taught by plane trigonometry , DB will be found to be equal to 218-3 feet . To which , if DA ...
... rules of plane trigonometry , the radius is to the tangent BCD , as DC is to DB . By employing the logarithmic tables , and pro- ceeding as is taught by plane trigonometry , DB will be found to be equal to 218-3 feet . To which , if DA ...
Σελίδα 57
... Rule 1. Multiply the length by the perpen- dicular breadth , and the product will be the area . 2. As the radius is to the sine of any angle of the parallelogram , so is the product of the sides including the angle , to the area of the ...
... Rule 1. Multiply the length by the perpen- dicular breadth , and the product will be the area . 2. As the radius is to the sine of any angle of the parallelogram , so is the product of the sides including the angle , to the area of the ...
Σελίδα 58
William Jillard Hort. Problem . To find the area of a circle . Rule 1. Multiply half the circumference by half the diameter , and the product will be the area . Rule 2. Multiply the square of the diameter by 7854 , and the product will ...
William Jillard Hort. Problem . To find the area of a circle . Rule 1. Multiply half the circumference by half the diameter , and the product will be the area . Rule 2. Multiply the square of the diameter by 7854 , and the product will ...
Συχνά εμφανιζόμενοι όροι και φράσεις
algebra arch arithmetic astronomy axis body breadth called cask centre CHAP circle circumference column compound cone conic sections contained Corollary cube cyphers decimals definition degrees denomination denotes diameter distance diurnal motion divided dividend division divisor earth ellipse equator Example expressed feet figure fluid four frustum gallons geometrical series geometry given numbers globe gravity greater height horizontal hundred hyperbola hypothenuse idea improper fraction inches instrument integers length logarithms magnitude mathematics Mercury meridian miles mixed mathematics moon motion Multiply opposite angles parabola parallel perpendicular plane triangle plate poles proportion quadrant quantity quotient radius remainder right angles right line rule for finding sailing secant sexagesimal ship sides signifies solid space specific gravity sphere spherical trigonometry square subtract supposed surface tangent telescope term theorem thousand tion TRIGONO trigonometry vertex vertical arc vessel vulgar fractions wheel
Δημοφιλή αποσπάσματα
Σελίδα 60 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Σελίδα 227 - Every body continues in a state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by a force impressed upon it.
Σελίδα 228 - To every action there is always opposed an equal reaction: or, the mutual actions of two bodies upon each other are always equal and directed to contrary pans.
Σελίδα 32 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 90 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Σελίδα 228 - The change of motion is proportional to the motive force impressed; and is made in the direction of the right line in which that force is impressed.
Σελίδα 55 - PROBLEM I. To find the area of a parallelogram, whether it be a square, a rectangle, a rhombus, or a rhomboides.
Σελίδα 157 - It is bounded on the North by the Arctic Ocean ; on the East by the Pacific Ocean ; on the South by the Indian Ocean ; and on the West by the Red Sea, the Mediterranean Sea, the Caspian Sea, and the Oural Mountains.
Σελίδα 97 - Multiply the first and second terms together, and divide the product by the third ; the quotient will be the answer in the same denomination as the middle term was reduced into.
Σελίδα 19 - ... When a straight line standing on another straight line, makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it. 11. An obtuse angle is that which is greater than a right angle. 12. An acute angle is that which is less than a right angle. 13. A term or boundary is the extremity of any thing.