A general view of the sciences and arts, Τόμος 1 |
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Σελίδα 32
... arches , or parts of the circumference intercepted between the lines which contain those angles , have to one another . Hence it is naturally inferred , that an angle at the centre of a circle has the same ratio , 32 A GENERAL VIEW OF.
... arches , or parts of the circumference intercepted between the lines which contain those angles , have to one another . Hence it is naturally inferred , that an angle at the centre of a circle has the same ratio , 32 A GENERAL VIEW OF.
Σελίδα 33
... arch , intercepted between the lines that contain the angle , has to the whole circumference . It also follows , that arches of a circle may be employed as measures of angles ; and thus the comparison of angles , is reduced to the ...
... arch , intercepted between the lines that contain the angle , has to the whole circumference . It also follows , that arches of a circle may be employed as measures of angles ; and thus the comparison of angles , is reduced to the ...
Σελίδα 34
... arch ; so many degrees , minutes , seconds , & c . are said to be in the angle measured by that arch . Corollary 1. Any arch is to the whole cir- cumference of which it is a part , as the number of degrees and parts of a degree , in it ...
... arch ; so many degrees , minutes , seconds , & c . are said to be in the angle measured by that arch . Corollary 1. Any arch is to the whole cir- cumference of which it is a part , as the number of degrees and parts of a degree , in it ...
Σελίδα 35
... arch AB , or of the angle ACB . 7. The tangent of an arch , is a right line touching the circle , at one extremity of the arch , and meeting a diamcter of that circle passing through the other extremity of the arch . Thus AH , touching ...
... arch AB , or of the angle ACB . 7. The tangent of an arch , is a right line touching the circle , at one extremity of the arch , and meeting a diamcter of that circle passing through the other extremity of the arch . Thus AH , touching ...
Σελίδα 36
William Jillard Hort. the same angle , as the radius of the first arch is to the radius of the second arch . Hence it appears that if tables be constructed , exhibiting , in numbers , the sines , tangents , and versed sines of certain ...
William Jillard Hort. the same angle , as the radius of the first arch is to the radius of the second arch . Hence it appears that if tables be constructed , exhibiting , in numbers , the sines , tangents , and versed sines of certain ...
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.