 | Samuel H. Winter - 1864 - 348 pages
...squares on the two sides is equal to twice the square on half the base, together with twice the square on the line drawn from the vertex to the middle point of the base. 13. What is the equation of a right line passing through the two given points (a/, у'), (x", у")... | |
 | Euclides - 1865 - 402 pages
...the vertical angle also bisects the base, and is perpendicular to it. 12. In an isosceles triangle, the line drawn from the vertex to the middle point of the base bisects the vertical angle, and is perpendicular to the base. 13. If, in a triangle, the perpendicular... | |
 | William Guy Peck - 1866 - 356 pages
...is one-third of the distance from D to A. Hence, the centre of gravity of a plane triangle is on a line drawn from the vertex to the middle point of the base, and at one-third of the distance from the base to the vertex. Centre of Gravity of a Parallelogram.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...two diagonals together. 24. 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. 25. If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...264. Construct a triangle, having given the base, the vertical angle, and the length of the straight line drawn from the vertex to the middle point of the base. 265. Having given the base and the vertical angle of a triangle, shew that the triangle will be greatest... | |
 | E. M. Reynolds - Geometry - 1868 - 172 pages
...the sides are together equal to twice the square on half the base together with twice the square on the line drawn from the vertex to the middle point of the base. 16. The squares of the diagonals of a quadrilateral are together less than the squares on the four... | |
 | Euclides - 1872 - 102 pages
...touches the circle to which PA is a tangent. 28. Given the base of a triangle, the vertical angle, and the length of the line drawn from the vertex to the middle point of the base : construct the triangle. 29. If a circle be described about the triangle ABC, and a straight line... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...touches the circle to which PA is a tangent. 28. Given the base of a triangle, the vertical angle, and the length of the line drawn from the vertex to the middle point of the base : construct the triangle. 29. If a circle be described about the triangle ABC, and a straight line... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...(CA, 14. The squares on two sides of a triangle are together double of the squares on the straight line drawn from the vertex to the middle point of the base and on half the base. 15. Given the lengths of the three lines drawn from the angles of a triangle... | |
 | Euclides - 1874 - 120 pages
...parallel to one side. 85. Half the base of a triangle is greater than, equal to, or less than the straight line drawn from the vertex to the middle point of the base, according as the vertical angle is obtuse, right, or acute. 86. If the same straight line bisect the... | |
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In any triangle the sum of the squares on the sides is equal to twice the square on half the base together with twice the square on the straight line drawn from the vertex to the middle point of the base. 
