 | James Bryce - 1846 - 352 pages
...*— 25 a 2 ) : but y = § x, therefore y = =fc f ^13 d 2 ± 2 dV(36 d 2 —25a 2 ). 6. To bisect a triangle by a straight line drawn from a given point in one of its sides. Let ABC be the given triangle, and P the given point; bisect BC in D, and make (EucL. VI. 12) PC : CD ::... | |
 | Euclides - 1847 - 128 pages
...ABCD is aD m . 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 aD™, Ea gn. pt. in the side AB ; then it is required to bisect ABCD by... | |
 | Thomas Tate (mathematical master.) - 1848 - 284 pages
...co, and these lines 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... | |
 | Euclides - 1852 - 152 pages
...equals APQ, which, therefore, is equal to half the original triangle. 18. To bisect a parallelogram by a straight line drawn from a given point in one of its „ A sides. Cut off from AB, AQ equal toCP. The straight line joining P Op and Q divides the parallelogram... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...LXXXIII. To divide a given triangle into Irvo parts, which shall be in a given ratio to each other, by a straight line drawn from a given point in one of the sides. Let ABC be the given triangle; P the given point in the side AB. Join PC; and /* divide... | |
 | Euclides - 1857 - 242 pages
...difference of the rectangle under the two sides, and the sum of their squares. 7- To bisect a jiiven triangle by a straight line drawn from a given point in one of its sides. 9. The squares of the sides of any quadrilateral figure are together equivalent to the squares of its... | |
 | Thomas Lund - Geometry - 1859 - 390 pages
...LXXXV. To divide a given parallelogram into two parts, which shall be in a given ratio to each other, by a straight line drawn from a given point in one of the sides. Let ABCD be the given parallelogram; P the given point in the side AB. Divide AB into two... | |
 | James Bryce - 1861 - 376 pages
...have 5 X = : - 25a') _ 25 - 25a 2 ) : but y=$x, therefore y = ± I- v/lSd' ± - 25a"). 6. To bisect a triangle by a straight line drawn from a given point in one of its sides. Let ABC be the given triangle, and P the given point ; bisect BC in D, and make (EucL. VL 12) PC : CD :... | |
 | Euclides - 1871 - 136 pages
...have two sides respectively equal and the included angles supplemental, the triangles are equal. 8. Bisect a given triangle by a straight line drawn from a given point in one of the sides. 9. If the base of a triangle ABC be produced to a point D such that BD is equal t > AS,... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...have two sides respectively equal and the included angles supplemental, the triangles are equal. 8. Bisect a given triangle by a straight line drawn from a given point in one of the sides. 9. If the base of a triangle ABC be produced to a point D such that BD is equal to AB, and... | |
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To bisect a given triangle by a straight line drawn from a given point in one of its sides. Let 
