A general view of the sciences and arts, Volume 1 |
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Page 44
... axes . But from the writings of Apollonius of Perga in Pamphilia , the most information is derived , concerning the progress which his predecessors had made in the study of conic sections . He flourished in the reign of Ptolemy ...
... axes . But from the writings of Apollonius of Perga in Pamphilia , the most information is derived , concerning the progress which his predecessors had made in the study of conic sections . He flourished in the reign of Ptolemy ...
Page 46
... axis , or transverse diameter of an ellipse is the line AB in the preceding figure . The centre of an ellipse is the middle of the axis , ( o ) . The centre of the 46 A GENERAL VIEW OF.
... axis , or transverse diameter of an ellipse is the line AB in the preceding figure . The centre of an ellipse is the middle of the axis , ( o ) . The centre of the 46 A GENERAL VIEW OF.
Page 47
William Jillard Hort. axis , ( o ) . The centre of the hyperbola is with- out the curve , but in the parabola . The centre is said to be infinitely distant from the vertex , because the diameter of the para- bola may be considered as ...
William Jillard Hort. axis , ( o ) . The centre of the hyperbola is with- out the curve , but in the parabola . The centre is said to be infinitely distant from the vertex , because the diameter of the para- bola may be considered as ...
Page 48
... axis , and the vertex of the axis , is called its principal vertex . A right line terminated at each extremity by the parabola , and bisected by a diameter , is called an ordinate to that diameter , as DFD . The conjugate to a diameter ...
... axis , and the vertex of the axis , is called its principal vertex . A right line terminated at each extremity by the parabola , and bisected by a diameter , is called an ordinate to that diameter , as DFD . The conjugate to a diameter ...
Page 49
... axis , or transverse diameter of an ellipse ? What is the centre of an ellipse , and where are the centres of the hyperbola and parabola ? What is the diameter of an ellipse ? How may a parabola be described ? What is the focus of the ...
... axis , or transverse diameter of an ellipse ? What is the centre of an ellipse , and where are the centres of the hyperbola and parabola ? What is the diameter of an ellipse ? How may a parabola be described ? What is the focus of the ...
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.