| John Radford Young - Euclid's Elements - 1827 - 208 pages
...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 - Geometry - 1871 - 368 pages
...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 - Geometry - 1872 - 368 pages
...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 - Geometry - 1884 - 368 pages
...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 - Mathematics - 1884 - 323 pages
...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 - Geometry - 1897 - 398 pages
...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 - Geometry - 1899 - 247 pages
...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 - Geometry - 1899 - 473 pages
...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 - Geometry, Plane - 1899 - 256 pages
...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 - Geometry - 1904 - 473 pages
...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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