Outlines of Geometry ... |
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Αποτελέσματα 1 - 5 από τα 10.
Σελίδα 14
... moving a point , as to reach a place without moving our body . Having thus obtained our general ideas as to " Motion , " " Loci , " and " Limits , " let us now confine ourselves to those particular cases of which Euclid treats . First ...
... moving a point , as to reach a place without moving our body . Having thus obtained our general ideas as to " Motion , " " Loci , " and " Limits , " let us now confine ourselves to those particular cases of which Euclid treats . First ...
Σελίδα 22
... point B therefore must move in such a manner as to be always at the same distance from A. Hence the law of motion of ... point ( B ) which is always at the same distance from a given fixed point ( A , ) all the points being in the ...
... point B therefore must move in such a manner as to be always at the same distance from A. Hence the law of motion of ... point ( B ) which is always at the same distance from a given fixed point ( A , ) all the points being in the ...
Σελίδα 30
... point move in order that all its positions may be connected , or in other words , in order that it may return to the point from which it set out ? Now first since the space must consist of both length and breadth , and since any two points ...
... point move in order that all its positions may be connected , or in other words , in order that it may return to the point from which it set out ? Now first since the space must consist of both length and breadth , and since any two points ...
Σελίδα 32
... point 1 . D to which P has to travel before its return to its original position . Then instead of travelling along PA , it will travel along PD . If then we consider AP as the path along which it would naturally move , the same con ...
... point 1 . D to which P has to travel before its return to its original position . Then instead of travelling along PA , it will travel along PD . If then we consider AP as the path along which it would naturally move , the same con ...
Σελίδα 40
... move to P1 and C1 ( since the radius is increased ) , and CBQ will become C'BQ ' . Hence , as AB increases the angle ... point when the angle QBP passed B through zero ( 3. ) And since AB in- creased as the angle QBP decreased ...
... move to P1 and C1 ( since the radius is increased ) , and CBQ will become C'BQ ' . Hence , as AB increases the angle ... point when the angle QBP passed B through zero ( 3. ) And since AB in- creased as the angle QBP decreased ...
Άλλες εκδόσεις - Προβολή όλων
Outlines of Geometry: Or, the Motion of a Point Walter Marsham Adams Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Outlines of Geometry; Or, the Motion of a Point Walter Marsham Adams Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 52 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.
Σελίδα 26 - A segment of a circle is the figure contained by a straight line and the circumference it cuts off.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 22 - And that a circle may be described from any centre, at any distance from that centre.