 In an isosceles triangle, the square of a line drawn from the vertex to any point in the base, together with the rectangle of the segments of the base, is equal to the square of one of the equal sides of the triangle.  The Elements of Analytical Geometry ... - Page 37by John Radford Young - 1835 - 288 pagesFull view - About this book
 | William Nicholson - 1809 - 722 pages
...drawn from the vertex tu any point in the base ; the square of that line together with the rectangle of the segments of the base, is equal to the square of tbe side. If one angle of a triincle be equal to ISO" ; the square of tbe base »ill li- equal to the... | |
 | Charles Hutton - Mathematics - 1812 - 620 pages
...Triangle, the Square of a Line drawn from the Vertex to any Point in the Base, together with the Rectangle of the Segments of the Base, is equal to the Square of one of the Equal Sides of the Triangle. Let ABC be the isosceles tpiangle, and CD a line drawn from... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...those sides to the difference of the segments of the base. For (K. 6.), the rectangle under the sum and difference of the segments of the base is equal to the rectangle under the sum and difference of the sides, and therefore (1C. 6.) the sum of the segments... | |
 | William Nicholson - Natural history - 1821 - 356 pages
...drawn from the vertex to any point in the base, the square of that line, together with the rectangle of the segments of the base, is equal to the square of the side. If one angle of a triangle be equal to 120°, the square of the base will be cqvial to the squares... | |
 | Euclid - 1822 - 222 pages
...sides is equal to the difference between the squares of the sides, and the rectangle under the sum and difference of the segments of the base is equal to the difference between the squares of the segments, and these differences are equal by Cor. 4. prop. 47.... | |
 | Charles Hutton - Mathematics - 1822 - 616 pages
...Triangle, the Square of a Line drawn from the Vertex to any Point in the Base, together with the Rectangle of the Segments of the Base, is equal to the Square of •ne of the Equal Sides of the Triangle. Let ABC be the isosceles triangle, and CD a line drawn from... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...the difference ofthe segments of the base. Рог (Geo. Theo. 48. Cor.) the rectangle under the sum and difference of the segments of the base is equal to the rectangle under the sum and difference of the sides ; therefore the sum of the segments of the base... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...must be fixed to the same line, so that the pendulum may vibrate quickest about the other end. 4. — Given the base and difference of the sides to determine...rectangle of the longest side and difference of the seg ments of the base is equal to the square of the shortest side5. — From a given circle to cut... | |
 | John Radford Young - Conic sections - 1833 - 310 pages
...(because NF = i MN, and, by similar triangles OE = | OM), (a — z)2 — ("""-.) — z2. M PROBLEM XXIX. Given the base and difference of the sides to...base is equal to the square of the shortest side. Let b = the base, x = the shorter side, d — the difference of the sides ; then (by Geom.p. 36.) as 6... | |
 | Euclid - Euclid's Elements - 1833 - 216 pages
...sides is equal to the difference between the squares of the sides, and the rectangle under the sum and difference of the segments of the base is equal to the difference between the squares of the segments ; and these differences are equal by Cor. 4. prop. 47.... | |
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