Introductory Modern Geometry of Point, Ray, and Circle |
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Page 18
... 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 between them is a mag- nitude : it ...
... 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 between them is a mag- nitude : it ...
Page 19
... half - rays , is called the angle between them . We may denote it by a Greek letter , as a , written in it ; or by a large Roman letter , as O , at its vertex ( where the half- rays meet ) ; or by three such letters , as AOB , the ...
... half - rays , is called the angle between them . We may denote it by a Greek letter , as a , written in it ; or by a large Roman letter , as O , at its vertex ( where the half- rays meet ) ; or by three such letters , as AOB , the ...
Page 20
... rays ( or half - rays ) . The tract is the simplest magnitude that lies between points , that distinguishes them and keeps them apart ; likewise the angle is the simplest magnitude that lies between rays ( in a plane ) , that ...
... rays ( or half - rays ) . The tract is the simplest magnitude that lies between points , that distinguishes them and keeps them apart ; likewise the angle is the simplest magnitude that lies between rays ( in a plane ) , that ...
Page 25
... half - rays , forming the angle AOB . Think of OA as held fast and of OB as turning about the pivot O , starting from the position OA . As it turns ( counter - clockwise ) , the ( Fig . 15 ) angle - side of OA back to the under side of ...
... half - rays , forming the angle AOB . Think of OA as held fast and of OB as turning about the pivot O , starting from the position OA . As it turns ( counter - clockwise ) , the ( Fig . 15 ) angle - side of OA back to the under side of ...
Page 27
... half - ray from O , as OB , will ( Fig . 17 ) cut the round angle AOA into two angles , AOB and BOA . The end OB of ... rays , OB , OC , etc . , ... OL , the round angle will still be the sum of the consecutive angles AOB , BOC , etc ...
... half - ray from O , as OB , will ( Fig . 17 ) cut the round angle AOA into two angles , AOB and BOA . The end OB of ... rays , OB , OC , etc . , ... OL , the round angle will still be the sum of the consecutive angles AOB , BOC , etc ...
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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.