Outlines of Geometry ... |
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algebraic arrest ascertained axis becomes boundary points burning-glass calculated centre CHAPTER circular plate circumference conceived condition Conic Sections considered course curve Cycloid cyclone cyclonoid depends Descartes described determine Differential Calculus ellipse enclosed equation examine example figure fixed point given point gradually decreasing Hence Hyperbola inappreciable increase infinite distance Infinitesimal Calculus infinity kinds of magnitude latter law of motion length and breadth limiting form Loci locus Mathematics means measure method moving point number of degrees number of straight objects observe obtained orbit parabola pass path Philosophy of Mathematics plane point in common point moves polygon position principle problem proposition PYTHAGORAS radius regard relation revolving right angles solid space storm straight line drawn student subtends Suppose surface tangent theodolite three consecutive points three points top card trace treatise triangle Trigonometry wind words zero دو دو دو دو وو وو دو
Popular passages
Page 52 - LET it be granted that a straight line may be drawn from any one point to any other point.
Page 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.
Page 26 - A segment of a circle is the figure contained by a straight line and the circumference it cuts off.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.
Page 22 - And that a circle may be described from any centre, at any distance from that centre.