Introductory Modern Geometry of Point, Ray, and Circle |
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Page 2
... beginning and no end . We may imagine a piece of Space cut out and colored ( to distinguish it from the rest of Space ) ; the piece will be bounded , but Space itself will remain unbounded . N. B. When we say that Space is unbounded ...
... beginning and no end . We may imagine a piece of Space cut out and colored ( to distinguish it from the rest of Space ) ; the piece will be bounded , but Space itself will remain unbounded . N. B. When we say that Space is unbounded ...
Page 16
... beginning and end proper ; we do this by writing the letter at the beginning first . B C C ' Α ' B ' B B ' E D ' Ε ́ F ' . FIG . 7 . 17. Two tracts , AB and A'B ' , are called equal when the end - points of the one may be ( Fig . 7 ) ...
... beginning and end proper ; we do this by writing the letter at the beginning first . B C C ' Α ' B ' B B ' E D ' Ε ́ F ' . FIG . 7 . 17. Two tracts , AB and A'B ' , are called equal when the end - points of the one may be ( Fig . 7 ) ...
Page 17
... beginning to last end is called the sum . Equality is denoted by the bars ( = ) between the equals , as AB CD . = 18. If , when the beginning A is placed on the beginning C , the end B does not fall on the end D , the tracts are unequal ...
... beginning to last end is called the sum . Equality is denoted by the bars ( = ) between the equals , as AB CD . = 18. If , when the beginning A is placed on the beginning C , the end B does not fall on the end D , the tracts are unequal ...
Page 18
... beginning O , but no end . Two half - rays , OA and OA ' , which together make up a whole ray , are called opposite or counter ( Fig . 10 ) . Now let two half - rays , OA and OB , have the same be- ginning ; the opening or spread ...
... beginning O , but no end . Two half - rays , OA and OA ' , which together make up a whole ray , are called opposite or counter ( Fig . 10 ) . Now let two half - rays , OA and OB , have the same be- ginning ; the opening or spread ...
Page 19
... beginning and end , we mention the letter on the beginning- arm first , and the letter on the end - arm last ; thus , AOB ; here OA is the beginning and OB the end of the angle . Exchanging beginning and end reverses the angle ; thus ...
... beginning and end , we mention the letter on the beginning- arm first , and the letter on the end - arm last ; thus , AOB ; here OA is the beginning and OB the end of the angle . Exchanging beginning and end reverses the angle ; thus ...
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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.