Introductory Modern Geometry of Point, Ray, and Circle |
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Page 2
... extent . Any body may just as well be here , there , or yonder , so far as Space is concerned . A mere change of place in nowise affects the Space in which the change , or motion , occurs . C. Space is boundless . It has no beginning ...
... extent . Any body may just as well be here , there , or yonder , so far as Space is concerned . A mere change of place in nowise affects the Space in which the change , or motion , occurs . C. Space is boundless . It has no beginning ...
Page 6
... extent of any kind , neither length nor breadth nor thickness , they are wholly non- dimensional . - - * 6 . It is noteworthy that extents , 6 GEOMETRY .
... extent of any kind , neither length nor breadth nor thickness , they are wholly non- dimensional . - - * 6 . It is noteworthy that extents , 6 GEOMETRY .
Page 7
... extents of fewer dimensions , and themselves bound extents of more dimensions . Thus , lines are bounded by points ... extent of still higher order , of four dimensions . But here it is that our intuition fails us ; our vision of the ...
... extents of fewer dimensions , and themselves bound extents of more dimensions . Thus , lines are bounded by points ... extent of still higher order , of four dimensions . But here it is that our intuition fails us ; our vision of the ...
Page 8
... book are continuous , without holes , gaps , rents , breaks , or interruptions of any kind in their extent . It is important to note that in passing from any position A to another B on a continuous line , a moving 8 GEOMETRY .
... book are continuous , without holes , gaps , rents , breaks , or interruptions of any kind in their extent . It is important to note that in passing from any position A to another B on a continuous line , a moving 8 GEOMETRY .
Page 9
... necessary B A B FIG . 2 . and sufficient to know one thing ; namely , how far it is from A. Hence its path is a one - dimensional extent , or what we call a line . Now let a line move in any definite way from INTRODUCTION . 9.
... necessary B A B FIG . 2 . and sufficient to know one thing ; namely , how far it is from A. Hence its path is a one - dimensional extent , or what we call a line . Now let a line move in any definite way from INTRODUCTION . 9.
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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.