Outlines of Geometry ... |
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Side 14
... considered as a series of consecutive moves . points . From this it is evident that before any geometrical magnitude can be produced , a point must be given . " The world stood upon the elephant , and the elephant stood upon the ...
... considered as a series of consecutive moves . points . From this it is evident that before any geometrical magnitude can be produced , a point must be given . " The world stood upon the elephant , and the elephant stood upon the ...
Side 20
... considered the circle . CHAPTER XII . EVEN AND UNEVEN SURFACES . IF in a surface any two points whatsoever ( A and B ) be taken , and a straight line be drawn from A to B , then A B will be either completely or partially in the surface ...
... considered the circle . CHAPTER XII . EVEN AND UNEVEN SURFACES . IF in a surface any two points whatsoever ( A and B ) be taken , and a straight line be drawn from A to B , then A B will be either completely or partially in the surface ...
Side 21
... considered ; and all lines will be conceived to be " in the same plane . " We shall not therefore repeat the qualification , as it will be the same in all cases . These remarks apply of course to the deduc- tions obtained in the last ...
... considered ; and all lines will be conceived to be " in the same plane . " We shall not therefore repeat the qualification , as it will be the same in all cases . These remarks apply of course to the deduc- tions obtained in the last ...
Side 22
... considered by Euclid not as a circle but as the circumference of a circle . The circle itself is the name he gives to the whole figure described by the revolving line , that is to the whole surface contained by the circumference ; but ...
... considered by Euclid not as a circle but as the circumference of a circle . The circle itself is the name he gives to the whole figure described by the revolving line , that is to the whole surface contained by the circumference ; but ...
Side 31
... be fulfilled , A- 3 . B D and space would be enclosed ( 3. ) The further condition necessary to bring it back to the particular point A will be considered in Part II . CHAPTER XVIII . THE POLYGON . THUS we have determined 31.
... be fulfilled , A- 3 . B D and space would be enclosed ( 3. ) The further condition necessary to bring it back to the particular point A will be considered in Part II . CHAPTER XVIII . THE POLYGON . THUS we have determined 31.
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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.