Introductory Modern Geometry of Point, Ray, and Circle |
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Page 16
... tract , sect , or line - segment . Each is denoted by the two letters denoting the ends , as the tract AB , the arc AB . Sometimes it is important to distinguish these end - points as beginning and end proper ; we do this by writing the ...
... tract , sect , or line - segment . Each is denoted by the two letters denoting the ends , as the tract AB , the arc AB . Sometimes it is important to distinguish these end - points as beginning and end proper ; we do this by writing the ...
Page 17
... tracts AB , etc. Each is called an addend or sum- mand , and the whole tract from first 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 ...
... tracts AB , etc. Each is called an addend or sum- mand , and the whole tract from first 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 ...
Page 18
William Benjamin Smith. 20. When beginning and end of a tract or of any mag- nitude are exchanged , the tract or magnitude is said to be reversed , and the reverse is denoted by the sign = - - BA . the reverse of AB is BA , or AB ...
William Benjamin Smith. 20. When beginning and end of a tract or of any mag- nitude are exchanged , the tract or magnitude is said to be reversed , and the reverse is denoted by the sign = - - BA . the reverse of AB is BA , or AB ...
Page 20
... tract is the simplest magnitude that lies between points , that distinguishes them and keeps them apart ; likewise ... tract or of an angle . We may now define the distance between two points to be the tract between them , and the dis ...
... tract is the simplest magnitude that lies between points , that distinguishes them and keeps them apart ; likewise ... tract or of an angle . We may now define the distance between two points to be the tract between them , and the dis ...
Page 23
... tract AB shall equal the tract A'B ' . Think of L and L ' as extremely fine rigid spider - threads , and in thought place the ends of the tract AB on the ends of the tract A'B ' , A on A ' , and B on B ' . A B B L -ட் FIG . 13 . Then ...
... tract AB shall equal the tract A'B ' . Think of L and L ' as extremely fine rigid spider - threads , and in thought place the ends of the tract AB on the ends of the tract A'B ' , A on A ' , and B on B ' . A B B L -ட் FIG . 13 . Then ...
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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.