Modern Methods in Elementary GeometryMacmillan, 1868 - 112 páginas |
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Página 20
... and the interior angles to twice as many right angles as the figure has sides , diminished by four right angles . D ' B ' ** Let ABCDE be any convex polygon . B Through any point O draw OB ' , OC ' 20 ELEMENTARY GEOMETRY .
... and the interior angles to twice as many right angles as the figure has sides , diminished by four right angles . D ' B ' ** Let ABCDE be any convex polygon . B Through any point O draw OB ' , OC ' 20 ELEMENTARY GEOMETRY .
Página 21
... twice as many right angles as the figure has sides . Hence the interior angles are equal to twice as many right angles as the figure has sides , diminished by four right angles . COR . The exterior angle of any regular polygon of n ...
... twice as many right angles as the figure has sides . Hence the interior angles are equal to twice as many right angles as the figure has sides , diminished by four right angles . COR . The exterior angle of any regular polygon of n ...
Página 26
... twice DA + DB + DC . 4. The two sides of a triangle are together greater than twice the straight line drawn from the vertex to the middle point of the base . 5. If E be a point within the triangle ABC , the angle BEC is greater than the ...
... twice DA + DB + DC . 4. The two sides of a triangle are together greater than twice the straight line drawn from the vertex to the middle point of the base . 5. If E be a point within the triangle ABC , the angle BEC is greater than the ...
Página 46
... twice as great as AB , AOC is twice as great as AOB . And AD being three times as great as AB , AOD is three times as great as AOB . And if AK be m times as great as AB , AOK is m times as great as AOB . Similarly if AG be n times as ...
... twice as great as AB , AOC is twice as great as AOB . And AD being three times as great as AB , AOD is three times as great as AOB . And if AK be m times as great as AB , AOK is m times as great as AOB . Similarly if AG be n times as ...
Página 48
... twice whole ACB . rem . ( fig . 3 ) AOB = twice rem . АСВ . 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 it by AOB , to ...
... twice whole ACB . rem . ( fig . 3 ) AOB = twice rem . АСВ . 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 it by AOB , to ...
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Términos y frases comunes
Algebra alternate angle altitude ARITHMETIC base BC² BEGINNERS bisect BROOKE FOSS WESTCOTT Cambridge centre chord Christ's College circle touching circumference Clifton College cloth coincide congruent CONIC SECTIONS construct contains convex angle Crown 8vo describe a circle diagonals diameter dicular distance divide Edward Thring ELEMENTARY TREATISE equal angles equally distant equiangular equilateral triangle Examination Papers Exercises exterior angle Fcap Fellow of St GEOMETRY given circle given line given point given square given straight line greater Greek Text Head Master Hence inscribe intersect John's College Join JOSEPH WOLSTENHOLME Jugurtha late Fellow Latin Let ABCD line drawn locus Mathematical Lecturer measure meet middle point MIXED MATHEMATICS numerous parallel to BC parallelogram perpen perpendicular polygon problems quadrilateral figure radius rectangle right angles Second Edition Shew similar triangles student tangent THEOREM VII Third Edition trapezium triangle ABC vertex
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