 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...consequently given, and hence the perpendicular CE is given. COMPOSITION. PROP. IV. PROB. To bisect a given triangle, by a straight line drawn from a given point in one of its sides. Let it be required from the point D to draw DF, bisecting the triangle ABC. ANALYSIS. Bisect(I.7.El.)theside... | |
 | Sir John Leslie - Curves - 1821 - 518 pages
...the chord BC drawn from the other side of the interior segment. PROP. VII. PROB. To bisect a given triangle, by a straight line drawn from a given point in one of its sides. Let it be required, from the point D, to draw DF, bisecting the triangle ABC. ANALYSIS.... | |
 | Henry Parr Hamilton - Geometry, Analytic - 1826 - 354 pages
...sides, and the intermediate square is that upon the remaining side. 25. PROS. 5. To bisect a given triangle by a straight line drawn from a given point in one of its sides. Let P be the given point (fig. 9.), and suppose PQ, to be the line which bisects the triangle.... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...similar construction, any part required may be cut off from a given triangle or rectilineal figure, by a straight line drawn from a given point in one of its sides. For we have but to make С В E the same part of С В A in the first case, and GBL the... | |
 | Mathematics - 1835 - 684 pages
...similar construction, any part required may be cut off from a given triangle or rectilineal figure, by a straight line drawn from a given point in one of its sides. For we have but to make С В E the same part of С В A in the first case, and GBL the... | |
 | James Bryce - Algebra - 1837 - 322 pages
...— — =— , therefore we have о =tfv/13</г=ir2dV(36dг— 25 аг): but у = |a:, therefore 6. To bisect a triangle by a straight line drawn from a given point in one of its sides. Let ABC be the giren triangle, and P the given point ; bisect BC in D, and make (Eucí-... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...PROP. XX. PROB. To divide a triangle into two parts in a given ratio, by a straight line drawn through a given point in one of the sides. Let ABC be the given triangle, and D the given point; and let AE be to EB in the given ratio; join DC, draw EF parallel to it, and... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...XX. PROB. — To divide a triangle into two parts in a given ratio, by a straight line drawn through a given point in one of the sides. Let ABC be the given triangle, and D the given point ; and let AE be to EB in the given ratio ; join DC, draw EF parallel to it, and... | |
 | Euclides - 1847 - 128 pages
...is a Dm. Wherefore the diameter &c.— QED PROP. FF. PROB. GEN. ENUN. — To bisect a parallelogram by a straight line drawn from a given point in one of its sides. PART. ENUN.— Let ABCD be a Dm, E a gn. pt. in the side AB ; then it is required to bisect... | |
 | Thomas Tate (mathematical master.) - 1848 - 284 pages
...will divide the triangle into three equal parts. Required the demonstration. 55. To bisect a given triangle by a straight line drawn from a given point in one of the sides. 56. To bisect a given trapezium by a straight line drawn from one of the angles. 57. Inscribe a circle... | |
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Cut off from a given triangle a fourth, fifth, sixth, or any part required by a straight line drawn from a given point in one of its sides. 
