Geometrical problems deducible from the first six books of Euclid, arranged and solved. To which is added, an appendix containing the elements of plane trigonometry

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J. Smith, Printer to the University; and sold by Nicholson & Son, Deighton & Sons, Thorpe, and Newby, Cambridge; and J. Mawman, and F. C. & J. Rivington, London., 1819 - 377 páginas
 

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points of intersection to the extremities of the diameter cutting each
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of intersection a circle be described cutting them the points where
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If from the angular points of the squares described upon
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pendiculars to their common diameter be produced to cut the cir
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other extremity of the diameter the part without the circle may
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being in the circumference of the other and any line be drawn from
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line which shall make with the circumference an angle less than
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If the diagonals of a quadrilateral figure inscribed in a circle
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be drawn perpendicular to the base and from the greater segment
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to meet the tangents drawn from the extremities of the bisecting line
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in the circumference of one of them through which lines are drawn
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which are perpendicular to each other in such a manner that
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If two circles cut each other and any two points be taken
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From a given point in the diameter of a semicircle produced
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the other two sides
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drawn to the opposite sides making equal angles with the base
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If two exterior angles of a triangle be bisected and from
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The three straight lines which bisect the three angles of
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secting that which joins the vertex and the bisection of the base
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If the opposite sides or opposite angles of a quadrilateral
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of any four lines which can be drawn to the four angles from
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If the sides of an equilateral and equiangular pentagon
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To draw a line parallel to a given line which shall be termi
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Between two lines given in position to draw a line equal
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mainders may have given ratio and the sum of the squares of
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to a given square and have its adjacent sides together equal to
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If the opposite angles of a quadrilateral figure be equal
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triangle to describe on the other sides segments similar to that
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In a given triangle to inscribe a parallelogram similar to
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points and touch a given straight line
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and touch a given circle and a given straight line
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line both given in position and have its centre also in a given
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On the base of a given triangle to describe a quadrilateral
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be drawn to cut one another the greater segments will be equal
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cut each other at right angles the rectangles contained by the oppo
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a circle is greater or less than a right angle by the angle contained
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from its extremity the line intercepted between the vertex and
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described on the sides of a rightangled triangle is in the middle
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adjacent to the angles is equal to the square of either line drawn
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In any triangle if perpendiculars be drawn from the angles
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be drawn to any point in the circumference meeting a diameter per
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other two sides to construct the triangle I
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taining it and the difference of the segments of the base made
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Otras ediciones - Ver todas

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...
Miles Bland
Vista completa - 1821
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...
Miles Bland
Vista completa - 1819
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...
Miles Bland
Vista completa - 1819
Ver todas »

Términos y frases comunes

ABCD angle ABC angles at F base centre chord circle ABC circles cut circles touch circumference describe a circle divided draw a line Draw the diameter drawn parallel duplicate ratio equal angles equiangular Eucl extremities given angle given circle given in position given line given point given ratio given square given straight line given triangle intercepted isosceles triangle Join AE Join BD Let AB Let ABC let fall line given line joining line required lines be drawn lines drawn mean proportional opposite side parallel to BC parallelogram pendicular perpen point of bisection point of contact point of intersection point required radius rectangle rectangle contained right angles segments semicircle shewn tangent touches the circle trapezium triangle ABC

Información bibliográfica

TítuloGeometrical problems deducible from the first six books of Euclid, arranged and solved. To which is added, an appendix containing the elements of plane trigonometry
AutorMiles Bland
EditorJ. Smith, Printer to the University; and sold by Nicholson & Son, Deighton & Sons, Thorpe, and Newby, Cambridge; and J. Mawman, and F. C. & J. Rivington, London., 1819
Procedencia del originalUniversidad de Oxford
Digitalizado29 Jul. 2008
Largo377 páginas
  
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