Euclidian Geometry |
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Page 10
... A circle is a plane figure contained by one line called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference . are equal . That point is called the centre of the ...
... A circle is a plane figure contained by one line called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference . are equal . That point is called the centre of the ...
Page 16
Francis Cuthbertson. PROPOSITION VII . It is always possible to draw a straight line perpendicular to a given straight line from a given point in the same . B A Let BC be the given straight line , and A the given point in it . Then from A a ...
Francis Cuthbertson. PROPOSITION VII . It is always possible to draw a straight line perpendicular to a given straight line from a given point in the same . B A Let BC be the given straight line , and A the given point in it . Then from A a ...
Page 17
... a given point in a given straight line there cannot be drawn more than one straight line 1 to it . COR . All right angles are equal to one another . A B H Κ Let ABC , GHK be two right angles , and let the ABC be applied to the △ GHK ...
... a given point in a given straight line there cannot be drawn more than one straight line 1 to it . COR . All right angles are equal to one another . A B H Κ Let ABC , GHK be two right angles , and let the ABC be applied to the △ GHK ...
Page 20
Francis Cuthbertson. PROPOSITION XI . It is always possible to draw a perpendicular to a given straight line of an unlimited length from a given point without it . C Let A be any point without the straight line BC of unlimited length . Then ...
Francis Cuthbertson. PROPOSITION XI . It is always possible to draw a perpendicular to a given straight line of an unlimited length from a given point without it . C Let A be any point without the straight line BC of unlimited length . Then ...
Page 21
... given straight line from a given point without it . A R Q B ए Let A be the given point , and BC the given straight line ; and let AQ be drawn from A to BC . ( I. 10 ) Then no other straight line besides AQ can be drawn from A to BC ...
... given straight line from a given point without it . A R Q B ए Let A be the given point , and BC the given straight line ; and let AQ be drawn from A to BC . ( I. 10 ) Then no other straight line besides AQ can be drawn from A to BC ...
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Common terms and phrases
Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Examples Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively revised rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex