It contained a number of projective geometry theorems, including Pascal's mystic hexagon. |
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If all the vertices of a hexagon lie on a conic, and if the opposite sides intersect, then the points of intersection lie on a line. |
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I shared my crazy hexagon dream with a weekend volunteer traveling home from an internship in Maine. |
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It is made with pongee nylon for less creasing of the fabric, it has a hexagon shaft for added durability, and a polished wooden handle. |
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In the general case, the hexagon is no longer cyclic, but the triangles are still equal and centrally symmetric. |
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If hexagon heads are desired, a heading tool will upset some of the metal into a hexagon-shaped die cavity. |
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The hexagon is a function between the radius and circumference of the circle, and is a naturally occurring form in nature. |
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The arrow points to a mitotic figure cleaving off a narrow cell from a semi-regular hexagon cell. |
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For example, 10 carbon atoms can be arranged into two conjoined hexagons, each hexagon sharing two carbon atoms with the other. |
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Similarly, nine atoms can form a pentagon bonded to a hexagon, each ring sharing two atoms with the other ring. |
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Then the hexagon is inscribable in a circle if and only if the three pairs of opposite sides define isosceles trapezoids. |
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Each vertex triangle in the new hexagon is either congruent to one in the original hexagon or has the same base and height. |
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He showed that in any hexagon formed of six tangents to a conic, the three diagonals meet at a point. |
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For example, when we start with a hexagon, the final shape may be a segment, a triangle, or another hexagon. |
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Perpendicular bisectors of two pieces of its medians form a hexagon with opposite sides parallel. |
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In the other case, the sides of the hexagon are parallel to the sides of the given triangle. |
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The lines midway between parallel sides of the hexagon also form a triangle. |
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Six triangular wedges, which can be pieced together to create a solid hexagon, have been separated and mounted along the wall of the stairway. |
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Therefore, the hexagon lies on a circle centered at the incenter of that triangle. |
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The first day of school, she told me that I must be pretty stupid if I didn't know a hexagon had six sides. |
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The strap is supplied unassembled and must be screwed to the sensor before setup with three hexagon nuts M5x10 and spring washers. |
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Detail of the hexagon Charm quilt, shows the center rosette of the quilt. |
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The play bounces from scheming romance to high-camp comedy, leaving the audience torn between giggling and nail-biting over this complicated love hexagon. |
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Two other chemical groups are attached to this hexagon, but each can attach at two different angles, resulting in four different versions, or optical isomers. |
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You might define a more-general class polygon, which would have triangle as a subclass, along with other subclasses such as quadrilateral, pentagon and hexagon. |
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In the case of hydrocarbons, delocalisation occurs in Benzene rings, where a hexagon of six carbon atoms has delocalised electrons spread over the whole ring. |
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For a more contemplative example, gaze at a sequence of regular polygons: a hexagon, an octagon, a decagon and so on. |
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This produces a hexagon whose sides are pairwise parallel, which is then used to tessellate the plane by translations. |
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The reason that the hive can be strong with such a thin wall is because it has the structure of hexagon. |
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With instruments with threaded process fitting, suitable tools must be applied for tightening the hexagon. |
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Using the grid, the average of the points for all years within each hexagon was calculated. |
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The large hexagon that you see here is a plot of colours or the colour gamut available with process colour. |
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It is made of wood in an angular barrel shape, having an outline like an elongated hexagon. |
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External hexagon milling with 2 tools simultaneously and end piece support. |
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On the floor of each room is an icon a circle, a hexagon, a flower and, prior to the game starting, the players have a short time to explore their surroundings. |
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Following his lead, Pascal made his surprising discovery that the intersections of the three pairs of opposite sides of a hexagon inscribed in a conic lie on a straight line. |
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Bees, then, know just this fact which is useful to them, that the hexagon is greater than the square and the triangle and will hold more honey for the same expenditure of material in constructing each. |
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Stemming from Gupta art is the practice adopted at Bamiyan between the 5th and 6th centuries of painting in the dome of a sanctuary a Buddha within a circle or hexagon. |
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For this, loosen the two hexagon socket screws. |
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Only use a hexagon spanner to tighten the sleeve nut. |
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The tightening nut with star or T-grip are an improvement based on the tried and tested tightening nut 04750. A star or T-grip replaces the operating hexagon and an added mesh mechanism complements it. |
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Remove cotter pin, hexagon castellated nut and washer from each axle. |
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There are three types of convex hexagon which will tessellate the plane and at least 14 types of convex pentagon, each type being defined by a set of constraints on the angles and the sides. |
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One of them is the fact that snow crystal has the shape of hexagon. |
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Note: It is important to make sure that the hexagon on the implant is fitted into the hexagon of the abutment so that it does not rest on top of the hexagon, as this may cause the abutment to loosen. |
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The hanks are placed upon light, collapsible hexagon reels termed rices, which are easily lifted out of their position for the reception of the hank. |
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Just recently I have successfully developed two hexagon terrariums both for arboreal and terrestrial tarantulas to replace the more traditional Pentagonal unit. |
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Hexagon Composites ASA is a publicly listed company with its head office located in Aalesund, Norway. |
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The original Hexagon photoreconnaissance satellite, designed to fly 30 days, was by the end of the program incentivized to fly for a year. |
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The acquisition of Devex not only advances Hexagon Geosystems' expansion into South America but the mining industry as a whole. |
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In 1995, the band made their first Hexagon Sun studio release, the EP Twoism. |
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