Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 2
... angles is called a right angle ; and the straight line which stands on the other is said to be per- pendicular to it ... equal , and the space occupied by two right angles is always the same ; we shall often denote it by 2R . An obtuse angle ...
... angles is called a right angle ; and the straight line which stands on the other is said to be per- pendicular to it ... equal , and the space occupied by two right angles is always the same ; we shall often denote it by 2R . An obtuse angle ...
Σελίδα 3
E. M. Reynolds. An obtuse angle is greater than a right angle . An acute angle is less than a right angle . If THEOREM I any straight line CD meet another straight line AB , A D E B C the angles CDA , CDB are together equal to two right ...
E. M. Reynolds. An obtuse angle is greater than a right angle . An acute angle is less than a right angle . If THEOREM I any straight line CD meet another straight line AB , A D E B C the angles CDA , CDB are together equal to two right ...
Σελίδα 4
... angles are together equal to two right angles , either of these angles is called the supplement of the other . THEOREM II . If two straight lines AB , CD cut one another , the vertical A D B For and also angles must be equal , viz . AEC ...
... angles are together equal to two right angles , either of these angles is called the supplement of the other . THEOREM II . If two straight lines AB , CD cut one another , the vertical A D B For and also angles must be equal , viz . AEC ...
Σελίδα 8
... equal to ( Prop . vi ) nor greater than ( Prop . v ) , DG . PARALLELS . A BE D FGC Parallel straight lines are such ... angles which we will denote by ( 1 ) , ( 2 ) , ( 3 ) , ( 4 ) ; ( I ) , ( II ) , ( III ) , ( IV ) . If one angle of the ...
... equal to ( Prop . vi ) nor greater than ( Prop . v ) , DG . PARALLELS . A BE D FGC Parallel straight lines are such ... angles which we will denote by ( 1 ) , ( 2 ) , ( 3 ) , ( 4 ) ; ( I ) , ( II ) , ( III ) , ( IV ) . If one angle of the ...
Σελίδα 9
... angle EGB be equal to the interior angle GHD ; then shall AB be paral- lel to CD . then For if EGB = GHD , FHCHGA . E A B H C- D F Hence HC is situated with regard to GA precisely as GB with regard to HD . Therefore if GB , HD being ...
... angle EGB be equal to the interior angle GHD ; then shall AB be paral- lel to CD . then For if EGB = GHD , FHCHGA . E A B H C- D F Hence HC is situated with regard to GA precisely as GB with regard to HD . Therefore if GB , HD being ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC BC² bisect BROOKE FOSS WESTCOTT CA² Cambridge centre chord circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equiangular and similar equilateral triangle Examples exterior angle Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line greater Hence intersect isosceles John's College late Fellow Let ABCD line drawn MATHEMATICAL measure meet middle point opposite sides parallel to CD parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex