 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...triangle is invariable. 149. In any quadrilateral the squares on the diagonals are together equal to twice the sum of the squares on the straight lines joining the middle points of opposite sides. 150. If a circle be described round the point of intersection of the diameters of a parallelogram... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...triangle is invariable. 149. In any quadrilateral the squares on the diagonals are together equal to twice the sum of the squares on the straight lines joining the middle points of opposite sides. 150. If a circle be described round the point of intersection of the diameters of a parallelogram... | |
 | Euclides - 1871 - 136 pages
...contained by BE, CD. 10. In any quadrilateral the squares on the diagonals are together equal to twice the sum of the squares on the straight lines joining the middle points of opposite sides. 11. If straight lines be drawn from each angle of a triangle to bisect the opposite sides, four... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...points. Ii. 13. Prove that, in any quadrilateral, the squares on the diagonals are together equal to four times the sum of the squares on the straight lines joining the middle points of opposite sides. in. 31. Two equal circles touch each other externally, and through the point of contact chords... | |
 | Euclides - 1872 - 102 pages
...points. n. 13. Prove that, in any quadrilateral, the squares on the diagonals are together equal to four times the sum of the squares on the straight lines joining the middle points of opposite sides. in. 31. Two equal circles touch each other externally, and through the point of contact chords... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...sides of the triangle. 7. In any quadrilateral the squares on the diagonals are together equal to twice the sum of the squares on the straight lines joining the middle points of the opposite sides. 8. If two sides of a trapezium be parallel, the sum of the squares on the diagonals... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...triangle is invariable. 149. In any quadrilateral the squares on the diagonals are together equal to twice the sum of the squares on the straight lines joining the middle points of opposite sides. 150. If a circle be described round the point of intersection of the diameters of a parallelogram... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...triangle is invariable. 149. In any quadrilateral the squares on the diagonals are together equal to twice the sum of the squares on the straight lines joining the middle points of opposite sides. 150. If a circle be described round the point of intersection of the diameters of a parallelogram... | |
 | Euclides - 1884 - 434 pages
...on the four sides. 3. The sum of the squares on the diagonals of any quadrilateral is equal to twice the sum of the squares on the straight lines joining the middle points of opposite sides. 4. The sum of the squares on the four sides of any quadrilateral exceeds the sum of the squares... | |
 | 1888 - 666 pages
...sides of the- triangle. 3. The sum of the squares on the diagonals of a quadrilateral is equal to twice the sum of the squares on the straight lines joining the middle points of its opposite sides. 4. If two circles touch each other, the chords of the two arcs intercepted between... | |
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In any quadrilateral the squares on the diagonals are together equal to twice the sum of the squares on the straight lines joining the middle points of opposite sides. 
