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A plumb is a line which tells whether something is vertical. It used to be a string with a lead weight called a plumb bob (from the Latin word plombium, meaning lead) which could be held against vertical structures like walls to test them. A level tests whether a horizontal structure like a floor is perfectly horizontal. Carpenter's levels nowadays use bubbles in clear vials to show when the surface the level is placed on is horizontal. A square is something to measure whether the angle of two things (such as a wall and a floor) is ninety degrees. The connection of the square with geometry is obvious. Whether the corner of a quadrilateral is ninety degrees is important to the definition of a square and a rectangle. Also, if one of the angles of a triangle is ninety degrees, all of the principles of trigonometry apply to that triangle. The plumb and level describe relationships in three-dimensional geometry. Since the earth is (approximately) a sphere, and the plumb bob is pulled by gravity to the centre of the earth, the line described by the plumb is the extension of a radius of the terrestrial sphere. Likewise the level tests lines to see if they are tangent to a point on the surface of the terrestrial sphere or a parallel to that one. A plane which is level contains such a line and is therefore tangent to a point on the surface or parallel to such a plane. A plane which is plumb contains a line which is plumb; the level and plumb planes meet at a ninety degree angle and the line where they intersect is tangent to the surface, or parallel to a tangent.

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7y ago
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7y ago

They define the vertical and horizontal directions, respectively, and so are key to right angles.

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Q: How are the terms plumb square and level connected to geometry?
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Related questions

Where is the square?

Next to the level, beneath the plumb, Bob.


Can something be level and out of plumb?

YES. Level is interpruted to be horizontal and plumb vertical. Now, most levels have a plumb level and can be used in the vertical position. this is stil however checking for plumb and not level. Hope this helps Terry


How do they know the plumb line is vertical?

Use of a plumb bob a level used on plumb rather then horizontal


What is a vertical plumb rod used for?

For measuring 'plumb' in conjunction with a spirit level.


How important is a square rough opening for a window?

All rough openings for doors or windows should be as close as possible to plumb and square or your door or window wont be able to be installed properly. As long as you have enough room in the opening to iinstall it square and plumb it'll work fine but if your opening is way out of true, even if you install the window level and plumb it just wont look right.


What is plumb to a surface?

Plumb as in "Plumb a door frame or cabinet?" Plumb is having something 90 degrees to level. The floor is level and the door frame, the vertical, up and down part is plumb in relationship to that. I'm sure this term comes from using a Plumb Bob. That's a heavy pointed ball on a string.. It will always show you the plumb line. Haven't heard the term used in plumbing.


What is carpentry tools?

Hammer, saw, a framing square, drill or brace and bits, something to measure with, a block plane for smoothing, plumb bob, a level is nice but not required. A plumb bob and square lets you do anything you need to do. What is required or available depends on your location. For hundreds of years, a hammer, saw and plumb bob was all that was needed. A plumb bob gets you the vertical and a piece of string gets you horizontal and square if you want to get to basics. Today, there are all the electrical tools that do a lot of the work for you and workmanship is becoming harder to find.


What does true in construction mean?

True means to build something perfect in every possible way plumb level and square and when sighting a constructed object it must appear straight and flat and square


Can you check plumb with a spirit level?

Yes, that's what it's for.


Is it bad for your fridge freezer not to be plumb its level but not plumb?

hi this is a good game its called roblox and another one mine craft brill. the answer is bad


Check a vertical wall frame for plumb?

The easiest way to check walls for plumb is to put a spirit level on the wall. If the bubble is not in the center of the vial, you'll need to find out how far out of plumb the wall is by moving either the top or bottom of the level away from the wall until the bubble finds the center.


What is a level called if it is vertical?

A line 90 degrees from horizontal is a plumb line.