Plane Geometry: And Supplements |
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Page 34
... Postulate 3 . Some are assumed even in an advanced course in geometry . Some you can prove now , as Postulates 9 , 10 , 12 , and 13 . Read these postulates carefully , looking back , if necessary , to the section reference if any postulate ...
... Postulate 3 . Some are assumed even in an advanced course in geometry . Some you can prove now , as Postulates 9 , 10 , 12 , and 13 . Read these postulates carefully , looking back , if necessary , to the section reference if any postulate ...
Page 35
... Postulate 12 . C 22. ( §11 ( d ) ) ( Ax . 7 ) ( §13 ( a ) ) ( Ax . 2 ) A 2/1 B * 3 . Prove Postulate 13 , using the definitions of radius , diam- eter , and equal circles . ☆ 4 . Prove Postulate 15 , using the definition of the ...
... Postulate 12 . C 22. ( §11 ( d ) ) ( Ax . 7 ) ( §13 ( a ) ) ( Ax . 2 ) A 2/1 B * 3 . Prove Postulate 13 , using the definitions of radius , diam- eter , and equal circles . ☆ 4 . Prove Postulate 15 , using the definition of the ...
Page 383
... postulate , or theorem , or of a nonmathe- matical statement may or may not be true . For example : ( a ) Postulate 18 , p . 35 , the converse of Postulate 16 , is true . ( b ) The converses of Postulates 8 and 10 are false . ( c ) If a ...
... postulate , or theorem , or of a nonmathe- matical statement may or may not be true . For example : ( a ) Postulate 18 , p . 35 , the converse of Postulate 16 , is true . ( b ) The converses of Postulates 8 and 10 are false . ( c ) If a ...
Contents
g The optional units from analytic geometry are included for three | 1 |
LinesAnglesPlanes | 11 |
W W | 24 |
Copyright | |
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Common terms and phrases
ABCD acute angle adjoining figure altitude angle formed angles are equal apothem bisector bisects central angle chord conclusion congruent Construct converse coplanar corresponding sides diagonals diameter dihedral Draw drawn equal circles equidistant equilateral triangle exercises extended exterior angle figure for Ex Find frustum geometry given hypotenuse Hypothesis Informal proof inscribed intersect isosceles trapezoid isosceles triangle kind of angle lateral area length locus of points mean proportional measure meeting mid-point opposite sides parallel parallelogram perimeter perpendicular perpendicular-bisector Plan plane plane geometry Post postulate prism Prove pyramid quadrilateral radii radius ratio rectangle regular polygon rhombus right angle right circular right triangle secant segment similar sphere square Statements straight line Suggestion tangent theorem trapezoid trihedral angle vertex vertical angles Нур