A general view of the sciences and arts, Volume 1 |
From inside the book
Results 1-5 of 32
Page 5
... proportion to the force communicating it , and resist in pro- portion as they are resisted . Attraction is the power or principle by which all bodies mutually tend towards one another . Of this power there are reckoned five kinds , or ...
... proportion to the force communicating it , and resist in pro- portion as they are resisted . Attraction is the power or principle by which all bodies mutually tend towards one another . Of this power there are reckoned five kinds , or ...
Page 32
... proportion , as the 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 ...
... proportion , as the 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 ...
Page 33
William Jillard Hort. the centre of a circle has the same ratio , or proportion to four right angles , which the arch , intercepted between the lines that contain the angle , has to the whole circumference . It also follows , that arches ...
William Jillard Hort. the centre of a circle has the same ratio , or proportion to four right angles , which the arch , intercepted between the lines that contain the angle , has to the whole circumference . It also follows , that arches ...
Page 37
... proportion as the arches intercepted between the lines that contain the angle ? What is the first definition in trigonometry ? What is the second definition , and what corollaries flow from it ? What is the supplement of any arch , or ...
... proportion as the arches intercepted between the lines that contain the angle ? What is the first definition in trigonometry ? What is the second definition , and what corollaries flow from it ? What is the supplement of any arch , or ...
Page 44
... proportion of the elliptic spaces to the circle ; and invented many propositions respect- ing the mensuration of the solids , by the revolu- tion of the conic sections about their axes . But from the writings of Apollonius of Perga in ...
... proportion of the elliptic spaces to the circle ; and invented many propositions respect- ing the mensuration of the solids , by the revolu- tion of the conic sections about their axes . But from the writings of Apollonius of Perga in ...
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 32 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 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.
Page 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.
Page 55 - PROBLEM I. To find the area of a parallelogram, whether it be a square, a rectangle, a rhombus, or a rhomboides.
Page 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.
Page 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.
Page 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.