Introductory Modern Geometry of Point, Ray, and Circle |
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Page 4
... slipping a cane five feet long sharpened to a point , upright on the floor , keeping the point always ten feet from the south wall . But as it is thus slipped along , the point of the cane will come to the point of the pin and then will ...
... slipping a cane five feet long sharpened to a point , upright on the floor , keeping the point always ten feet from the south wall . But as it is thus slipped along , the point of the cane will come to the point of the pin and then will ...
Page 10
... slip round on another part of the same line , it would trace out no surface at all as its path ; likewise , a piece of a surface traces out a solid as its path only by moving out from the surface itself , — if one part were to slip ...
... slip round on another part of the same line , it would trace out no surface at all as its path ; likewise , a piece of a surface traces out a solid as its path only by moving out from the surface itself , — if one part were to slip ...
Page 11
... slip it about the film : it no longer fits anywhere at all the surface is homœoidal , but not reversible . 10. But now consider a fine mirror covered with a deli- cate film , which by abstraction we treat as a surface . Sup- pose a ...
... slip it about the film : it no longer fits anywhere at all the surface is homœoidal , but not reversible . 10. But now consider a fine mirror covered with a deli- cate film , which by abstraction we treat as a surface . Sup- pose a ...
Page 13
... and slipped round will everywhere fit on the circle . But turn it over and slip it round , - it fits nowhere ; the circle is not reversible . It divides the plane into two - parts , not halves , that are not alike along INTRODUCTION . 13.
... and slipped round will everywhere fit on the circle . But turn it over and slip it round , - it fits nowhere ; the circle is not reversible . It divides the plane into two - parts , not halves , that are not alike along INTRODUCTION . 13.
Page 26
... Slip the half - ray OA down , and turn it till OA falls on O'A ' ; they will fit perfectly ( why ? ) ; the All round ... slipping of figures about in the plane , it is well to imagine the plane to consist of two very thin , per- fectly ...
... Slip the half - ray OA down , and turn it till OA falls on O'A ' ; they will fit perfectly ( why ? ) ; the All round ... slipping of figures about in the plane , it is well to imagine the plane to consist of two very thin , per- fectly ...
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Common terms and phrases
adjacent angles altitudes angle AOB angles equal anti-parallelogram axal symmetry Axiom axis of symmetry bisect called central angle central symmetry centre of symmetry chord circle K circles touch circumcircle concur congruent construction conversely Corollary corresponding angles curve Data diagonals diameter dimensions distance draw a circle Draw a ray drawn Elementary Algebra ends equal angles falls figure film fixed point Geometry given angle given point given ray half-rays halves homœoidal included angle inner angles inner mid-rays innerly intercept intersection isosceles join kite Let the student locus medial meet mid-points normal opposite angles opposite sides outer angle pairs parallel parallelogram plane point equidistant point of touch polygon position Problem Proof proposition radii radius reciprocal regular n-side reversible rhombus right angle round angle secant Solution Space sphere-surface straight angle subtended surface symmetric tangent tangent-lengths Theorem unequal vertex vertices
Popular passages
Page 95 - A circle is a closed plane curve, all points of which are equidistant from a point within called the center.
Page 35 - Two parallelograms, having two sides and the included angle of the one equal respectively to two sides and the included angle of the other, are equal.
Page 43 - BDN, have the three sides of the one equal respectively to the three sides of the other...
Page 70 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.