Introductory Modern Geometry of Point, Ray, and Circle |
From inside the book
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Page 1
... called the Intuition ( or Per- ception or Envisagement ) of Space . Two objects precisely alike , as two copies of this book , so as to be indistinguishable in every other respect , yet are not the same , because they differ in place ...
... called the Intuition ( or Per- ception or Envisagement ) of Space . Two objects precisely alike , as two copies of this book , so as to be indistinguishable in every other respect , yet are not the same , because they differ in place ...
Page 2
... called bodies , change place , or may be imagined to change place , in all sorts of ways , without in the least affecting Space itself . Animals move , that is , change their places , hither and thither ; clouds form and transform them ...
... called bodies , change place , or may be imagined to change place , in all sorts of ways , without in the least affecting Space itself . Animals move , that is , change their places , hither and thither ; clouds form and transform them ...
Page 3
... called its dimensions ; knowing them , we know the size completely . But to tell the size of a ball it is enough to tell one thing about it , namely , its diameter ; while to tell the size of a chair we should have to tell many things ...
... called its dimensions ; knowing them , we know the size completely . But to tell the size of a ball it is enough to tell one thing about it , namely , its diameter ; while to tell the size of a chair we should have to tell many things ...
Page 6
... called poles and that do not move at all as the earth spins round on her axis . We also learn that there is a certain region of positions just midway between these poles and called the Equator . This Equator is no part of the surface ...
... called poles and that do not move at all as the earth spins round on her axis . We also learn that there is a certain region of positions just midway between these poles and called the Equator . This Equator is no part of the surface ...
Page 7
... called abstraction , i.e. withdrawing attention from certain matters , disregard- ing them , while regarding others . A sheet of paper is not a surface , but a body occupying Space . However thin , it yet has some thickness . But in ...
... called abstraction , i.e. withdrawing attention from certain matters , disregard- ing them , while regarding others . A sheet of paper is not a surface , but a body occupying Space . However thin , it yet has some thickness . But in ...
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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.