Draw a corner view of a figure given each orthographic drawing. (FIGURE CAN'T COPY)

Name: Problem 12, Chapter 12: Geometry
Uploaded: 2020-10-20T21:36:00-08:00
Duration: 7 min 6 s
Channel: Anna Jones
Description: Draw a corner view of a figure given each orthographic drawing. (FIGURE CAN'T COPY)

Draw a corner view of a figure given each orthographic...

Key Concepts

Orthographic Projection

This is a method for representing three-dimensional objects in two dimensions by using multiple views, typically front, top, and side. Each view is drawn to scale and accurately displays the dimensions and relationships of the object's features, allowing for precise communication of its geometry.

Multi-view Drawing

Multi-view drawings combine several orthographic views to provide a complete picture of an object. By analyzing the information from these different perspectives, one can understand the true shape and structure of the object without distortion, making it an essential skill in technical and engineering drawing.

3D Spatial Visualization

This concept involves mentally reconstructing a three-dimensional object from its two-dimensional representations. It is crucial in interpreting orthographic drawings and converting them into a cohesive three-dimensional image, which is necessary when creating alternative views such as a corner view.

Corner View Drawing

A corner view, often related to isometric projection, is a type of drawing that shows the object from an angle where two or three faces are visible simultaneously. This view provides a more complete understanding of the object's form and spatial relationships, making it easier to interpret complex geometries from multiple orthographic views.

Transcript

00:05 Our goal here is to draw this orthographic drawing on isometric dot paper as a 3d figure.

00:12 And so i think the easiest way to do this is to start with the base, which is shown by the top view.

00:19 So we see this kind of u -shape three with two notches.

00:25 So this is a length three, one, two, three, with two, and then we need to make sure we draw in these notches as we connect.

00:39 So over one down, over one up, across.

00:44 All right.

00:45 So there we have our base.

00:48 And from there, we can start drawing in the front view, back view sort of thing.

01:01 So the front is equal to the back.

01:04 I have that noted here.

01:05 Because whatever we see the front is also going to be kind of the back side.

01:10 So eventually we need to have this two by three, or i should say three by two rectangle.

01:25 And so actually let me reorient this slightly.

01:57 So the top and the back will eventually, or excuse me, the front in the back will eventually be this three by two rectangle.

02:04 So we're going to have heights of three and that length of two.

02:12 So for now we kind of drew that in as the back and we'll eventually draw in the front as well.

02:18 The left and right hand sides are also this u shape.

02:21 So going up three over one, down two, over one, up two, over two.

02:31 And same thing on the right here.

02:33 However, you notice that on the right hand side, we're not going to have a straight rectangle here...

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