Outlines of Geometry ... |
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Side 3
... manner deficient . CHAPTER DISTANCE . II . ONE of our earliest actions , performed probably quite without our being aware of it , was to " use our eyes . " We saw and noticed trees , houses , dogs , horses , men . Let us suppose , then ...
... manner deficient . CHAPTER DISTANCE . II . ONE of our earliest actions , performed probably quite without our being aware of it , was to " use our eyes . " We saw and noticed trees , houses , dogs , horses , men . Let us suppose , then ...
Side 11
... manner , that is , considering its length to remain fixed while its breadth decreases , we find it approach more and more nearly to a line ( 2 , 3 , ) until at last when the breadth becomes smaller than we can perceive , the distance ...
... manner , that is , considering its length to remain fixed while its breadth decreases , we find it approach more and more nearly to a line ( 2 , 3 , ) until at last when the breadth becomes smaller than we can perceive , the distance ...
Side 19
... manner that the positive angle between each three consecutive points is equal to the negative . 66 And this is what is meant by the definition : A straight line is that which lies evenly between its extreme points . " CHAPTER XI . THE ...
... manner that the positive angle between each three consecutive points is equal to the negative . 66 And this is what is meant by the definition : A straight line is that which lies evenly between its extreme points . " CHAPTER XI . THE ...
Side 22
... manner as to be always at the same distance from A. Hence the law of motion of B is known , and if we give to the new path thus formed the name of Circle , " we may define as follows : — 66 A Circle is the locus of a point ( B ) which ...
... manner as to be always at the same distance from A. Hence the law of motion of B is known , and if we give to the new path thus formed the name of Circle , " we may define as follows : — 66 A Circle is the locus of a point ( B ) which ...
Side 29
... manner in which we obtained the angle BAP ,, that it is composed of the angles BAP and PAP ,, inasmuch as the angle P1AB was first formed by the revolution of AP ,, and after that the angle PAP , was added by the same means . P2AB ...
... manner in which we obtained the angle BAP ,, that it is composed of the angles BAP and PAP ,, inasmuch as the angle P1AB was first formed by the revolution of AP ,, and after that the angle PAP , was added by the same means . P2AB ...
Andre utgaver - Vis alle
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.