Elementary Geometry, Volumen1Macmillan, 1868 |
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Página 2
... coincide wholly . Other lines are called broken , curved , or mixed , as Def . 5. A plane surface is one in which , any two points being taken , the straight line which joins them lies wholly in that surface . Hence the practical test ...
... coincide wholly . Other lines are called broken , curved , or mixed , as Def . 5. A plane surface is one in which , any two points being taken , the straight line which joins them lies wholly in that surface . Hence the practical test ...
Página 3
... coincide with AB . The explanation of certain terms and signs used in Geometrical reasoning may be introduced here . A theorem is a geometrical truth which is capable of demonstration by reasoning from certain known truths . A corollary ...
... coincide with AB . The explanation of certain terms and signs used in Geometrical reasoning may be introduced here . A theorem is a geometrical truth which is capable of demonstration by reasoning from certain known truths . A corollary ...
Página 4
... coincide . It is further obvious that angles which are not equal could by no means be so placed as to coincide . Thus the angle B cannot be conceived as coinciding with H. Angles are added by placing them . so as to have a common vertex ...
... coincide . It is further obvious that angles which are not equal could by no means be so placed as to coincide . Thus the angle B cannot be conceived as coinciding with H. Angles are added by placing them . so as to have a common vertex ...
Página 5
... coincide with its continuation is two right angles . Def . II . Two angles are said to be vertically opposite to one another when they have the same vertex , and the sides of the one are the prolongations of the sides of the other ...
... coincide with its continuation is two right angles . Def . II . Two angles are said to be vertically opposite to one another when they have the same vertex , and the sides of the one are the prolongations of the sides of the other ...
Página 6
... coinciding with OB , it is clear that the angle POB will at first be very small , and less than POA , and will ... coincide , for otherwise there would be two perpendiculars drawn to the same straight line from the same point in it ...
... coinciding with OB , it is clear that the angle POB will at first be very small , and less than POA , and will ... coincide , for otherwise there would be two perpendiculars drawn to the same straight line from the same point in it ...
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Términos y frases comunes
AB² ABCD AC² adjacent angles Algebra angle ABC angle BAC angle OPB AP² BC² BP² BROOKE FOSS WESTCOTT Cambridge Christ's College cloth coincide CONIC SECTIONS construct a triangle construct the triangle corresponding angles CP² Crown 8vo diagonals difference direction Edward Thring ELEMENTARY TREATISE equal angles Euclid Examples EXERCISES exterior angles Fcap follows four right angles Geometry given angle given line given point given straight line greater Hence included angle intersecting isosceles triangle John's College less Let ABC line which joins locus Mathematical meet middle point MIXED MATHEMATICS obtuse angle opposite angles opposite sides parallelogram perpendicular points of bisection problems produced Proof prove quadrilateral rectangle contained rectilineal respectively equal rhombus right angles Schools Second Edition Shew student Theorem 16 three sides triangle ABC triangle are respectively triangles are equal TRIGONOMETRY twice the rectangle unequal vertex whole line
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