Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 2
... a watch passes over four right angles in an hour . All right angles are equal , and the space occupied by two right angles is always the same ; we shall often denote it by 2R . An obtuse angle is greater than a right angle . 2 ELEMENTARY ...
... a watch passes over four right angles in an hour . All right angles are equal , and the space occupied by two right angles is always the same ; we shall often denote it by 2R . An obtuse angle is greater than a right angle . 2 ELEMENTARY ...
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
... 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 to DEB , and AED to BEC . AEC + ...
... 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 to DEB , and AED to BEC . AEC + ...
Σελίδα 10
... right angles , AB is parallel to CD . For BGH + GHD will then be equal to BGH + EGB , and therefore EGB GHD ... angles at G are equal to the corre- sponding angles at H. COR . 2. The alternate angles AGH , GHD are equal . COR . 3. The ...
... right angles , AB is parallel to CD . For BGH + GHD will then be equal to BGH + EGB , and therefore EGB GHD ... angles at G are equal to the corre- sponding angles at H. COR . 2. The alternate angles AGH , GHD are equal . COR . 3. The ...
Σελίδα 11
... angles A , B , and C are equal to two right angles . Through C draw CE pa- rallel to BA . E B C D Then the alternate angle ACE = the alternate angle A , ? and the exterior angle ECD = the interior angle B. Therefore the whole ACD = A + ...
... angles A , B , and C are equal to two right angles . Through C draw CE pa- rallel to BA . E B C D Then the alternate angle ACE = the alternate angle A , ? and the exterior angle ECD = the interior angle B. Therefore the whole ACD = A + ...
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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