Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 11
... 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 + B. Again , A + B = ACD . Add to each C , then A + B + THE STRAIGHT LINE . 11.
... 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 + B. Again , A + B = ACD . Add to each C , then A + B + THE STRAIGHT LINE . 11.
Σελίδα 15
... whole ( fig . 1 ) or rem . ( fig . 2 ) B'AC ' whole or rem . B'A'C ' ; i.e. BAC B'A'C ' ; - i . e . A = A ' . = Similarly , and- B = B ' , C = C ' . THEOREM XIV . If in the triangles ABC , A'B'C ' , A A ' B C AB = A'B ' , BC = B'C ...
... whole ( fig . 1 ) or rem . ( fig . 2 ) B'AC ' whole or rem . B'A'C ' ; i.e. BAC B'A'C ' ; - i . e . A = A ' . = Similarly , and- B = B ' , C = C ' . THEOREM XIV . If in the triangles ABC , A'B'C ' , A A ' B C AB = A'B ' , BC = B'C ...
Σελίδα 19
... whole angles ABC , CDA , the parts of which are separately equal , are equal . THEOREM XVII . The straight lines which join the extremities 2-2 THE STRAIGHT LINE . 19 Hence if the angles given equal be right angles the ...
... whole angles ABC , CDA , the parts of which are separately equal , are equal . THEOREM XVII . The straight lines which join the extremities 2-2 THE STRAIGHT LINE . 19 Hence if the angles given equal be right angles the ...
Σελίδα 48
... whole ( fig . 2 ) AOB = twice whole ACB . rem . ( fig . 3 ) AOB = twice rem . ACB . When the arc ADB is greater than a semicircle , the angle AOB will be greater than two right angles . We shall call it the convex angle AOB , and denote ...
... whole ( fig . 2 ) AOB = twice whole ACB . rem . ( fig . 3 ) AOB = twice rem . ACB . When the arc ADB is greater than a semicircle , the angle AOB will be greater than two right angles . We shall call it the convex angle AOB , and denote ...
Σελίδα 49
... which stand upon the same arc , are equal . D B E For each is half of the angle at the centre . Thus ACB = ADB = AEB . THEOREM XV . If the whole circumference be divided into 4 THE CIRCLE . 49 it by AOB, to distinguish it from the angle ...
... which stand upon the same arc , are equal . D B E For each is half of the angle at the centre . Thus ACB = ADB = AEB . THEOREM XV . If the whole circumference be divided into 4 THE CIRCLE . 49 it by AOB, to distinguish it from the angle ...
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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