 | John Radford Young - 1827 - عدد الصفحات: 228
...BD-DC = AB3 + AC2 ( Prop. XXIX. ). Hence in an isosceles triangle the square of a side is equivalent to the square of any line drawn from the vertex to the base, together with the rectangle of the parts into which it divides the base ; and here again we are... | |
 | William Chauvenet - 1871 - عدد الصفحات: 380
...in the points F, G, If, respectively; then AF. AB + AH. AD = AG.AC. 152. In any isSsceles triangle, the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base plus the product of the segments of the base. 153.... | |
 | William Chauvenet - 1872 - عدد الصفحات: 382
...AD, in the points F, G, If, respectively; then ARAB + AH.AD = AG.AC. 152. In any isosceles triangle, the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base plus the product of the segments of the base. 153.... | |
 | William Chauvenet - 1884 - عدد الصفحات: 384
...AD, in the points F, G, H, respectively; then ARAB + AH.AD = AG.AC. 152. In any isosceles triangle, the square of one of the equal sides is equal to the square of iny straight line drawn from the vertex to the base plus the product of the segments of the base. 153.... | |
 | James Gow - 1884 - عدد الصفحات: 350
...proposition that, if in an isosceles triangle a straight line be drawn from the vertex to the base, then the square of one of the equal sides is equal to the square of the straight line so drawn + the rectangle under the segments of the base3. (Simson adds a lemma to... | |
 | George Washington Hull - 1897 - عدد الصفحات: 408
...contact is a mean proportional between the diameters of the circles. 601. In any isosceles triangle the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base, plus the product of the segments of the base. CONSTRUCTIONS.... | |
 | James Howard Gore - 1899 - عدد الصفحات: 266
...of a triangle are inversely proportional to the corresponding bases. 6. In any isosceles triangle, the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base plus the product of the segments of the base. 7. The... | |
 | George Albert Wentworth - 1899 - عدد الصفحات: 500
...intersect at D, show that ZB 2 - ,AC 2 = lu? - ~C&. Ex. 273. In an isosceles triangle, the square of a leg is equal to the square of any line drawn from the vertex to the base, increased by the product of the segments of the base. Ex. 274. The squares of two chords drawn... | |
 | George Albert Wentworth - 1899 - عدد الصفحات: 272
...the opposite sides intersect at D, show that Ex. 273. In an isosceles triangle, the square of a leg is equal to the square of any line drawn from the vertex to the base, increased by the product of the segments of the base. Ex. 274. The squares of two chords drawn... | |
 | George Albert Wentworth - 1904 - عدد الصفحات: 496
...intersect at D, show that 1 - Zc2 = USD* - ~CD2. Ex. 273. In an isosceles triangle, the square of a leg is equal to the square of any line drawn from the vertex to the base, increased by the' product of the segments of the base. Ex. 274. The squares of two chords drawn... | |
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In any isosceles triangle, the square of one of the equal sides is equal to the square of any straight line drawn from the vertex to the base plus the product of the segments of the base. 
