You will need
- - the range;
- a pair of compasses.
Design side of four-sided truncated pyramid onto the plane. You will get isosceles trapezoid. The upper and lower bases of the trapezoid built respectively equal to the edge lengths of the upper and lower bases of a truncated pyramid. The sides of the trapezoid is equal to the lengths of the lateral edges of a truncated pyramid.
Using a ruler and pencil, continue the lateral side of the trapezoid up to the intersection. You got an isosceles triangle. Measure with a ruler the length of the constructed triangle.
On a separate sheet, draw a circle whose radius is equal to the derived value. Mark on the circle the point. Aside from a given point a segment equal to the length of the bottom base of the truncated pyramid. Consistently set aside a few more segments. Their number must match the number of faces of the pyramid. So the tetrahedral pyramid build all the 4 lines.
Connect the ends of the segments with the center of the circle. You got some isosceles triangles with one common side. The number of triangles corresponds to the number of faces of the pyramid. So the tetrahedral pyramid they will be 4.
Put on the sides of the triangles from the points on the circle segments equal to the length of the lateral edges of a truncated pyramid. Connect successively the points obtained. So you built the segments are equal in length to the side of the smaller base of a truncated pyramid. In the end, you get a scan of the lateral faces of a truncated pyramid.
Construct a regular polygon equal to the lower base of a truncated pyramid at the base of the first trapezoid sweep. So for tetrahedral truncated pyramid draw a square, one side of which will coincide with the lower base of the trapezoid. The same way to "build out" a square, equal to upper base of a truncated pyramid. Erase unnecessary pencil lines. Scan quadrangular truncated pyramid is ready.
Advice 2: How to build a pyramid healing
In a world of progress and new technologies, a man quite comfortable, but this comfort has a negative trait. On human health impact of harmful energy-informational field. These radiation can reduce immunity, which in turn can lead to various diseases. To protect yourself and your family from the harmful effects of will help healing pyramid, which you can build yourself.
You will need
- Any dielectric material like wood, cardboard, glass, plywood, and plastics.
- Drawing tool, a hacksaw.
Make a pyramid of needs, respecting the proportion of the Cheops pyramid. First and foremost, it is necessary to make certain calculations.
Set the required height of the pyramid, for example, a value of L, given that the higher the pyramid, the stronger its activity.
Calculate the length of a side of the base, length of lateral rib and the height of the pedestal in the following formulas, using specific coefficients:- base will be L ? 1,57057 - length side ribs will be L ? 1,4945 - height pedestal L ? 0,3333
It is important to build the pyramid, observing the proportions. Make a thorough calculation before trying to assemble the pyramid.
In the next stage we procure the required material. To build the pyramids are only suitable dielectric materials, such as wood, cardboard, glass, plywood, plastic.
The plotted side of the pyramid in the required life-size, cut out and assemble with glue or dowels.
Begin to build a pyramid you need in a good mood and with positive thoughts.
When building a pyramid you must not use nails, buttons or other metal objects, because metal deforms particular field of the pyramid.
Such a pyramid can be installed at home as it has a beneficial effect on the entire body.
One face of the pyramid should be strictly oriented to the North.
To neutralize the harmful radiation from the computer will place a small pyramid next to the system unit.
In this pyramid is slowing down the passage of time, and so she is able to fight old age.
Advice 3: How to build a pyramid of glasses
Pyramid of glasses of champagne – an indispensable detail of the lavish wedding, anniversary or presentation. It can be enjoyed in the festive Agency, but may be constructed independently. A few packages of inexpensive glasses, bottles of champagne, a little patience and you will succeed.
You will need
- glass stemware;
- - champagne;
- - table;
- - white tablecloth with finger skirt;
- - a large round tray;
- - decorations for slides.
Decide what the size of the future pyramid (or, as it is called, slide or cascade of champagne) you are interested in. The number of glasses is determined by the number of guests. Professionals build the pyramids out of a hundred, two hundred or more glasses. The beginner is better to start with a relatively low design – for example, of the 35 or 55. Note that the construction of such a cascade will take time – at least two hours.
Decide on the amount of consumables. Stick to formula for every 3, 5 of the glass pyramid will need 1 champagne bottle of 0.75 liters. Accordingly, at the pyramid of the 55 glasses purchase 16 bottles.
Choose suitable glasses. The best option for cascade – wide glasses-"saucers" or a Martini glass. They are resistant and look more spectacular than the narrow wine glasses-flute. Buying dishes, buy a few extra containers just in case a few pieces break. It is not necessary to spend money on crystal – pyramid perfect cheap glasses.
Take care of the sustainable furniture – it depends on the reliability of the whole structure. More colorful of all the hill looks at a small round table, covered with a white tablecloth with a special "skirt" (a draped cloth completely hides the table legs).
Start building the pyramid - for example, a spectacular cascade of up to 55 glasses. Install the tray table – it will protect the tablecloth from drips of champagne. Install the lower tier in the form of a square with sides of 5 wine glasses (25 pieces). Put them close to each other, even in parallel rows. Align the series with a piece of cardboard.
The second row of the 16 glasses placed so that each of them was bottomed on the upper parts of the four glasses of the lower tier. Install them evenly, slowly, observe the parallel rows.
The third row is made up of nine glasses, the fourth of four and completes the pyramid last glass. Slide ready. It can be decorated in flower petals and dry ice in separate containers (it will be effectively to smoke). On the tablecloth in artistic disorder laid out chocolates or other small ornaments.
When guests fill the fountain. Champagne, watch the bottle of the bottle is poured into the top glass and gradually fills the glasses of all tiers.
If you doubt that you'll cope with a glass slide, practice on plastic cups with water.
The slide can be constructed of glasses with a cocktail. In this case, the drink can be dispensed in advance, with 2/3 of the wine glass and decorated with cocktail cherry.
Advice 4: How to build a scan of a truncated cone
A reamer is a surface of geometric bodies, deployed on the plane. To build a scan of any surface is necessary to consistently combine all the flat elements with a single plane.
You will need
- Pencil, compass, template, triangle, ruler
Example. To build a scan of a truncated cone. The lateral surface of a truncated cone has flat elements, because it is a curve surface. To obtain an approximate sweep perform the following construction (figure 1).
Fill the cone to the polyhedron. On the horizontal projection of the circumference of the bottom base of the cone , divide the arc 12(1₁2₁), 23(2₁3₁), etc. And the circumference of the upper base divide by arcs 67(6₁7₁), 78(7₁8₁), etc., Connect these arcs by chords. The result is written in the truncated cone a truncated octagonal pyramid. Her face is a trapezoid, with the base – chord 1₁2₁, 6₁7₁, etc., and the other two opposite side – the side edges 1₁6₁, 2₁7₁ etc. These facets of the trapeze and are flat elements that are aligned with the plane of the drawing in the scan.
In every face swipe diagonally 1₁7₁, 2₁8₁, etc., divide them into two triangles. Determine the actual size (N. D.) diagonal 17 by way of a right triangle. To do this, check the height of the front projection of a truncated cone h. At right angles to h put the horizontal projection of the diagonal 1₁7₁. Received 1₀7₁ the hypotenuse is equal to the actual value (B. V.) diagonal 17.
When building a scanner all dimensions shall be full size. In 1672 faces of the inscribed pyramid all the elements are represented without distortion: the actual value of the rib 16 is equal to its frontal projection 1₂6₂, chord 67 (6₁7₁), 12 (1₁2₁) Proektirovanie in full size on the plane P. The actual value of the diagonal 1₀7₁ found by way of a right triangle.
Building sweep. On the vertical straight line (or direct random position) put the cut 1₀6₀=1₂6₂. From the point 6₀ radius 6₁7₁ make a notch, and 1₀ radius 1₀7₁ (present) – the second. The resulting point 7₀ connect direct with 1₀ and 6₀. From the point 1₀ make the notch radius 1₀2₀=1₁2₁, and from the point 7₀ radius 7₀2₀=1₀6₀. Get the point 2₀, connect it to the points 1₀ and 7₀.Built a-line 1₀6₀7₀2₀ is aligned with the plane of the drawing face of the pyramid inscribed in the truncated cone.
All the faces of the inscribed pyramid is equal, so using the same dimensions, build all adjacent faces and connect direct point 1₀, 2₀, 3₀, etc. of the Obtained flat figure will scan the lateral surface of the pyramid inscribed in a truncated cone.
Connect point 1₀, 2₀, 3₀ etc. the bottom base and the point 6₀, 7₀, 8₀, etc. of the upper base of the truncated cone curved curve line. The resulting figure is a net of a truncated cone.
In this example, in the drawing, the second half of the sweep symmetrical built and runs similarly on the same size.