Outlines of Geometry ... |
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Σελίδα 22
... 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 is always at the same distance from a given fixed point ( A , ) all the points being ...
... 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 is always at the same distance from a given fixed point ( A , ) all the points being ...
Σελίδα 44
... parallel with the axis of the para- bola , ) strike it at any point P , then the ray strikes the curve at an angle LPT , ( chap . xv . ) and by a well - known law of optics is refracted through the glass at an angle with the curve equal 44.
... parallel with the axis of the para- bola , ) strike it at any point P , then the ray strikes the curve at an angle LPT , ( chap . xv . ) and by a well - known law of optics is refracted through the glass at an angle with the curve equal 44.
Σελίδα 57
... it are given ( 2 .; ) that is , a point is fixed in position , if its distances from two fixed points be definite . Hence , if the A 2 . distances of any three points from each other be known 57 The Problem of Pythagoras 999.
... it are given ( 2 .; ) that is , a point is fixed in position , if its distances from two fixed points be definite . Hence , if the A 2 . distances of any three points from each other be known 57 The Problem of Pythagoras 999.
Σελίδα 58
... known distance from each other , it is possible to ascertain the distance of the first point also from either of the two latter . Now the directions of any point can always be ascertained by means of a theodolite , and some definite ...
... known distance from each other , it is possible to ascertain the distance of the first point also from either of the two latter . Now the directions of any point can always be ascertained by means of a theodolite , and some definite ...
Σελίδα 59
... known , and it is only necessary to measure a certain distance in any direction , and the angle at that point . to know the height of a tower AB ( 5. ) Walk 100 yards from A to C , and measure with a theodolite the angle ACB ( 6 ...
... known , and it is only necessary to measure a certain distance in any direction , and the angle at that point . to know the height of a tower AB ( 5. ) Walk 100 yards from A to C , and measure with a theodolite the angle ACB ( 6 ...
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.