Outlines of Geometry ... |
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Side 26
... Tangent " to the circle , ( 2 , 3 , ) so that the defini- tion of a Tangent is , " A straight 66 2 . 3 . оо line which has two consecutive point in common with the circle . " And since no straight line can have more than one point in ...
... Tangent " to the circle , ( 2 , 3 , ) so that the defini- tion of a Tangent is , " A straight 66 2 . 3 . оо line which has two consecutive point in common with the circle . " And since no straight line can have more than one point in ...
Side 27
... tangent to the wheel . Similarly when a ray of light , or a column of sound strikes a circle , it comes in direct contact only with the tangent to the curve : and the angle at which it strikes the curve , is the angle contained between ...
... tangent to the wheel . Similarly when a ray of light , or a column of sound strikes a circle , it comes in direct contact only with the tangent to the curve : and the angle at which it strikes the curve , is the angle contained between ...
Side 34
... Tangents . Hence , a circle is the limiting form of a polygon when the number of sides becomes immeasurably great and the length of the sides immeasur- ably small . Thus we have obtained a curious relation between the polygon and the ...
... Tangents . Hence , a circle is the limiting form of a polygon when the number of sides becomes immeasurably great and the length of the sides immeasur- ably small . Thus we have obtained a curious relation between the polygon and the ...
Side 44
... tangent at the point P , i.e. , the straight line which has two consecutive points in common with the curve at that point : Then it can be 3 . AS proved that the angle LPT equals the angle TPS ( 3. ) Consequently , if there be a glass ...
... tangent at the point P , i.e. , the straight line which has two consecutive points in common with the curve at that point : Then it can be 3 . AS proved that the angle LPT equals the angle TPS ( 3. ) Consequently , if there be a glass ...
Side 68
... ellipse , which we shall describe . In an Ellipse there are not one only but two foci ( S and H ) , i.e. two points by means of which the curve may be drawn in the manner 6 . S C T above described . Let RPT be at tangent to the. 68.
... ellipse , which we shall describe . In an Ellipse there are not one only but two foci ( S and H ) , i.e. two points by means of which the curve may be drawn in the manner 6 . S C T above described . Let RPT be at tangent to the. 68.
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Outlines of Geometry: Or, the Motion of a Point Walter Marsham Adams Ingen forhåndsvisning tilgjengelig - 2016 |
Outlines of Geometry; Or, the Motion of a Point Walter Marsham Adams Ingen forhåndsvisning tilgjengelig - 2019 |
Vanlige uttrykk og setninger
Algebra Algebraic Geometry already arrest ascertained axis becomes boundary points breadth burning-glass calculated called centre CHAPTER circumference conceived Conic Sections considered course curve Cycloid Cyclone cyclonoid decrease deduced definite distance depends Descartes described determine Differential Calculus directions with regard ellipse enclosed equation Euclid examine example Existence figure fixed point force of impulsion further geometrical given point gradually increase Hence Hyperbola idea infinite Infinitesimal Calculus infinity latter law of motion length Loci locus magnitude Mathematics means measure method moving point namely number of degrees number of straight object observed obtained opposite orbit Parabola pass plane point in common point move polygon principle PROBLEM OF PYTHAGORAS proved radius Rectangular Co-ordinates relation right angles space storm field straight line drawn subtends Suppose surface tangent theodolite three consecutive points three points tion treatise triangle Trigonometry vary wind words zero
Populære avsnitt
Side 52 - LET it be granted that a straight line may be drawn from any one point to any other point.
Side 23 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Side 26 - A segment of a circle is the figure contained by a straight line and the circumference it cuts off.
Side 29 - When a straight line standing on another straight line, makes the adjacent angles equal to one another, each of these angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Side 21 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Side 51 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
Side 51 - Let BAC be the given rectilineal angle, it is required to bisect it. Take any point D in AB, and from AC cut (i.
Side 41 - all right angles (for example) are equal to one another ; " that " when one straight line falling on two other straight lines makes the two interior angles on the same side less than two right angles, these two straight lines, if produced, shall meet on the side, where are the two angles less than two right angles ; " are manifestly principles which bear no analogy to such barren truisms as these, " Things that are equal to one and the same thing are equal to one another.
Side 80 - ... but the wind drew round and round, according to the now known laws of these circular storms, and she, with a perseverance that might have been more wisely employed, continued to scud " right before it " for four successive days and nights, by which time she had actually circumnavigated the storm-field five times.
Side 22 - And that a circle may be described from any centre, at any distance from that centre.