Outlines of Geometry ... |
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Side
... Surfaces VII . Solids and Magnitudes VIII . Limits and Loci IX . Examples of Loci ... ... SECTION II . MOTION IN A STRAIGHT LINE AND CIRCLE . X. The Straight Line ... XI . The Straight Line continued XII . Even and Uneven Surfaces XIII ...
... Surfaces VII . Solids and Magnitudes VIII . Limits and Loci IX . Examples of Loci ... ... SECTION II . MOTION IN A STRAIGHT LINE AND CIRCLE . X. The Straight Line ... XI . The Straight Line continued XII . Even and Uneven Surfaces XIII ...
Side 7
... use of the same word in morals of a similar nature . For the exact measure of a man's inclination towards any object is just how much he will go out of his way to attain it . CHAPTER V I. FIGURES AND SURFACES . HITHERTO we have.
... use of the same word in morals of a similar nature . For the exact measure of a man's inclination towards any object is just how much he will go out of his way to attain it . CHAPTER V I. FIGURES AND SURFACES . HITHERTO we have.
Side 8
... Surface " of the table would be enclosed . To examine what this surface is more closely , it must be remembered that the line AB represents the distance between the objects A and B 39 AC " " 99 CD 99 99 99 DB C 99 99 66 99 A and C ...
... Surface " of the table would be enclosed . To examine what this surface is more closely , it must be remembered that the line AB represents the distance between the objects A and B 39 AC " " 99 CD 99 99 99 DB C 99 99 66 99 A and C ...
Side 9
... surface grows larger , ( 5 ) or smaller ( 6 ) as C and D C recede ( 5. ) or approach ( 6. ) D B Hence the size of the surface depends upon two things ; one the distance of B from A , the other of C from A. Now the distance of B c from A ...
... surface grows larger , ( 5 ) or smaller ( 6 ) as C and D C recede ( 5. ) or approach ( 6. ) D B Hence the size of the surface depends upon two things ; one the distance of B from A , the other of C from A. Now the distance of B c from A ...
Side 10
... surface , and the line . Suppose now that we have a pack of cards ; this will be a solid , inasmuch as it has both length breadth and thickness ; but the top card of it will be a surface , as is shown by the very fact of its being ...
... surface , and the line . Suppose now that we have a pack of cards ; this will be a solid , inasmuch as it has both length breadth and thickness ; but the top card of it will be a surface , as is shown by the very fact of its being ...
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.