Introductory Modern Geometry of Point, Ray, and Circle |
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Page 3
... important fact needs careful explication . In telling the size of a box or a beam we find it necessary and sufficient to tell three things about it : its length , its breadth , and its thickness . These are called its dimensions ...
... important fact needs careful explication . In telling the size of a box or a beam we find it necessary and sufficient to tell three things about it : its length , its breadth , and its thickness . These are called its dimensions ...
Page 7
... importance , but rather subtile ; let not the student be disheartened , if at first he fail to master it . 6. We may see and handle bodies , which occupy portions of Space ; but not so surfaces , lines , points , which occupy no Space ...
... importance , but rather subtile ; let not the student be disheartened , if at first he fail to master it . 6. We may see and handle bodies , which occupy portions of Space ; but not so surfaces , lines , points , which occupy no Space ...
Page 8
... this 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 .
... this 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 16
... important to distinguish these end - points as 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 ...
... important to distinguish these end - points as 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 ...
Page 17
... important to note here the order of the letters . In summing a number of tracts , as AB , CD , EF , etc. , to KL , FIG . 8 . we have AB + CD + EF ... .. + KL = AL ( Fig . 8 ) . The order of the summands is indifferent , and this important ...
... important to note here the order of the letters . In summing a number of tracts , as AB , CD , EF , etc. , to KL , FIG . 8 . we have AB + CD + EF ... .. + KL = AL ( Fig . 8 ) . The order of the summands is indifferent , and this important ...
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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.