Euclidian GeometryMacmillan, 1874 - 349 sider |
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Side v
... Problems separated from Theorems , both classified according to the nature of the subject , and demonstrations replaced by others less cumbrous , I have been careful in all cases to retain Euclid's order as far as is necessary to allow ...
... Problems separated from Theorems , both classified according to the nature of the subject , and demonstrations replaced by others less cumbrous , I have been careful in all cases to retain Euclid's order as far as is necessary to allow ...
Side vii
... Problems , though kept distinct from Theorems , should nevertheless occupy the attention of the beginner as soon as possible , and also that the necessity of his having to wade through a long book of Theorems only should be avoided ...
... Problems , though kept distinct from Theorems , should nevertheless occupy the attention of the beginner as soon as possible , and also that the necessity of his having to wade through a long book of Theorems only should be avoided ...
Side 10
... . It is taken for granted that a circle can be described having any centre and radius equal to any given straight line . PROBLEM A. Describe an equilateral triangle upon a given straight 10 STRAIGHT LINES , ANGLES AND TRIANGLES .
... . It is taken for granted that a circle can be described having any centre and radius equal to any given straight line . PROBLEM A. Describe an equilateral triangle upon a given straight 10 STRAIGHT LINES , ANGLES AND TRIANGLES .
Side 11
... BCD , .. AB is = AC , ' .. AB is = BC , .. AC is BC ; = ABC is an equilateral triangle , and it has been described upon AB . Q. E. F. PROBLEM B. To bisect a given angle . Let DAE STRAIGHT LINES , ANGLES AND TRIANGLES . II PROBLEM A. ...
... BCD , .. AB is = AC , ' .. AB is = BC , .. AC is BC ; = ABC is an equilateral triangle , and it has been described upon AB . Q. E. F. PROBLEM B. To bisect a given angle . Let DAE STRAIGHT LINES , ANGLES AND TRIANGLES . II PROBLEM A. ...
Side 12
... .. the As ABF , ACF are equal in all respects , ..the BAF is the CAF , and -- .. △ DAE has been bisected by AF . ( I. 5 ) Q. E. F. PROBLEM C. To bisect a given straight line . 72 12 STRAIGHT LINES , ANGLES AND TRIANGLES . PROBLEM B. ...
... .. the As ABF , ACF are equal in all respects , ..the BAF is the CAF , and -- .. △ DAE has been bisected by AF . ( I. 5 ) Q. E. F. PROBLEM C. To bisect a given straight line . 72 12 STRAIGHT LINES , ANGLES AND TRIANGLES . PROBLEM B. ...
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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