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He compares the areas of figures with equal perimeters and volumes of solids with equal surface areas, proving a result due to Zenodorus that the sphere has greater volume than any regular solid with equal surface area.
Answer: the arc lengths and, therefore, the perimeters are equal.
Then these rings also have the additional property that both the inner perimeters are equal and the outer perimeters are equal.
Finally, if the rope is short enough (less than half the perimeter of the barn), the problem simplifies immensely.
It is easier to find a pentagon that circumscribes the same circle as the given square and has the same perimeter.
You calculate the perimeter by multiplying the diameter by pi.
The square and the cube are abstract, they're mathematical forms, measurements, perimeters, boundaries, mental constructs, and as such, are emotionally unknowable.
We found that the area, perimeter, length, and width of the lamina were highly correlated, suggesting the existence of a common genetic control.
The most interesting results show, with a very ingenious proof, that an equilateral triangle has a greater area than any isosceles or scalene triangle with the same perimeter.
The perimeter of the inner polygon is shorter than the circumference of the circle, while that of the outer polygon is longer.
The number four, for example, would be the ratio of the perimeter of a square to one of its sides and also the ratio of the area of a square to the area of a square whose side is half the original.
Zenodorus studied the area of a figure with a fixed perimeter and the volume of a solid figure with fixed surface.
2
(boundary)
perímetro masculine
before nounthe perimeter fence/wire—la valla/la alambrada que cerca el recinto
Repeat this until the entire perimeter of the room has been sanded.
Burn some sage, and walk the inner perimeter of your room or home if you can.
For the less energetic, there is a walk around the perimeter racecourse road beginning at 2 pm.
One is a low-voltage electric fence around the perimeter of your garden.
A tough protein envelope surrounds the inner perimeter of the cell.
They ran to a perimeter concrete fence and jumped over.
There were wooded areas beyond the perimeter and alongside one of the streams, but the course itself was mostly just a large empty field.
Most styles can be adapted to meet any pool codes in your area, and provide a safe perimeter fence around your pool.
I drove around our perimeter road one rainy night and saw lots of little rodents of some type running around.
He said it was the landlord of the estate who had replaced the perimeter fence around the whole of the industrial area.
About 30 minutes after they had started out, they arrived just beyond the outer perimeter of the lab area.
Sub-zero temperatures at the complex left the narrow perimeter roads covered in sheet ice, with virtually no grip for the opening cars.
After dark I drove the perimeter road and saw more jackals and foxes.
We could walk the entire perimeter of the island in less than an hour.
Signs are being placed around airport perimeters urging them to join the cause.
The only sure way of deterring them is to have an electric fence built around the perimeter of the garden.
There are lots of grasshoppers around here, but my hens patrol the garden perimeter fence and really reduce the numbers of insects in the garden.
The court heard how she made off with thousands of pounds worth of holidaymakers' property after scaling the perimeter fence and entering the rooms.
A two-kilometre perimeter fence for the broader area is also planned.
Surrounding the entire perimeter of the fence was a long line of barbed wire, spiky and foreboding.