Form Vase

1 Jan, 2005 in art pottery by admin

Form Vase

Glass Vases are Now Available in the Most Daring of Designs

Vases are some of the most ancient types of containers to be found in the antique cultures; first manufactured from ceramics and then from glass, vases have carried on their traditions over centuries. Glass vases are now available in the most daring of designs with special colors, shapes and sizes. From miniature to gigantic proportions, glass vases represent modern and traditional decorative items at the same time. Though essentially they follow a certain anatomy with neck, body and vase, artistic creativity is free to give birth to the most daring of forms and curves. Since glass vases are reputed for their refined nature, many designers play quite a lot with details such as neck length and diameter.

The simple glass surface the vases are made of, very often serves as a proper background for further craft artistry; hence, glass vases can be incredibly aesthetic both with or without flowers. Due to their classy nature, such items can contribute to the looks of an office or a room in your very home, not to mention that they are pretty popular gifts for wedding parties and birthdays. Due to their resemblance with awarded cups, glass vases can be etched with some unique data for the celebration of a memorable event.

As decorative items glass vases need to be adequately matched with the design of the room and the type of flowers you use them for. Therefore, slender glass vases are great for single flowers: a nice rose delicately placed in a semi-transparent recipient will look absolutely stunning, combining the elegance of the arrangement with the aesthetic effect of vessel simplicity. Large bouquets of summer flowers are not always a good match for glass vases, as ceramics is a more appropriate material to combine with the rustic look they bring.

In case you are looking for unique glass vases, all sorts of handcrafted models are available in online shops: you can get a look at the large offer by leafing through the thousands virtual catalogs. Such special items are definitely a gift that would stand apart and constantly remind one of you. Certain glass craftsmen allow the client to come up with the design idea and only give hints for what they know to work well or not for the creation of great glass vases. Furthermore, recent trends in interior design rely on the combined use of identical double glass vases in combination where the mirror effect is encouraged.

About the Author

Muna wa Wanjiru Has Been Researching and Reporting on Stained Glass for Years. For More Information on Glass vases, Visit His Site at GLASS VASESI Will Also Highly Appreciate Your Views On Glass vases At My Blog here

Calculus wizzes... two problems for ya?

Two Small arches have the shape of parabolas. The first given by f(x)= 1-X^2 for -1≤x≤1 and the second by g(x) = 4 - (x-4)^2 for 2≤x≤6. A board is placed on top of these arches so it rests on both. What is the slope of the board? Hint: Find the tangent line y=f(x) that intersects y=g(x) in exactly one point.

#2 A vase is formed by rotating y=x^2 around the y-axis. If we drop in a marble, it will either touch the bottom point of the vase or be suspended above the bottom by touching the sides. How small must the marble be to touch the bottom?

I am completely confused on this, any help would be appreciated. Steps would be very helpful so I can understand how to do this.

#1
The derivative of f(x) and g(x) is the slope of f(x) and g(x) respectively. Right?
So the slope of f(x) is -2x for x between -1 and 1and
the slope of g(x) is -2(x-4) for x between 2 and 6
The slope of the board, which is one linear function, has to satisfy both the derivatives for some unique value of x in both the sets respectively.
In the first set, x = - 1/2 will give the slope of f(x) as 1 ?[ -2(-1/2)]
In the next set, x = 7/2 will give the slope of g(x) as 1 ?[ -2(7/2-4)]
So at x = -1/2 for the first set, f(x) = 3/4 ?[ 1 - (-1/2)^2]
and at x = 7/2 for the next set, g(x) = 15/4 ?[ 4 - (7/2 - 4)^2]
So now you have two x/y co-ordinates of the board which are
(-1/2,3/4) and (7/2,15/4)
Thus the slope of the board is {15/4 - 3/4} / {7/2 - (-1/2)}
Which is 3/4

#2
Say the radius of the marble is r
The x-axis is tangent to the base of the vase and if it is also tangent to the marble, then the condition will be satisfied.
In this case the center of the circle is at (0,r)
So the equation for the circle can be written as:
x^2 + (y - r)^2 = r^2
substitute y=x^2 above
So x^2 +(x^2 -r)^2 = r^2
Simplifying this will give 1 + x^2 - 2r = 0
r=1 satisfies the equation.
Answer: marble of radius 1

Antique English Victorian silver-plate trumpet form vase