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{{T}}
[[Category:English]]
[[Category:Drawing with Proportion and Perspective]]

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= Introduction =

'''Drawing with Proportion and Perspective''' helps you make flat images look believable, spacious, and well organized. In Grades 7–8, you can use these ideas to draw objects, rooms, streets, imagined places, and figures more accurately. You will connect [[English:Drawing|drawing]] with [[English:Visual arts|visual art]], [[English:Geometry|geometry]], observation, and design.

'''Proportion''' describes how the size of one part relates to another part or to the whole. '''Perspective''' is a system for showing three-dimensional space on a two-dimensional surface. These skills work together: proportion helps you compare sizes, while perspective helps you understand how apparent size and direction change with distance.

[[File:Vanishing Point (PSF).png|500px|frameless|center]]

As you work through this aiMOOC, keep a pencil, ruler, eraser, and several sheets of paper nearby. A sketchbook is useful because you can compare early studies with later ones and see your progress.

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= Learning Goals =

By the end of this aiMOOC, you should be able to:
# [[English:Proportion|Proportion]]: Compare widths, heights, angles, and spaces so that parts relate convincingly to one another.
# [[English:Measurement|Measurement]]: Use simple visual measuring methods to check a drawing before adding details.
# [[English:Linear perspective|Linear perspective]]: Explain and use a horizon line, vanishing points, and receding lines.
# [[English:One-point perspective|One-point perspective]]: Construct a simple room, road, or group of boxes with one main vanishing point.
# [[English:Two-point perspective|Two-point perspective]]: Construct boxes and simple buildings seen from a corner.
# [[English:Composition|Composition]]: Combine proportion, perspective, overlap, size change, and placement to create depth.
# [[English:Reflection|Reflection]]: Identify errors, revise a drawing, and explain which visual evidence guided your changes.

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= Proportion: Comparing Parts to a Whole =

Proportion is a relationship, not a single fixed measurement. If a mug is twice as tall as its handle, that relationship matters more than the number of centimeters on the paper. In observational drawing, you often compare one feature with another: width to height, one angle to another, or the size of an object to the empty space around it.

A useful starting method is to imagine a simple '''bounding box''' around the subject. Ask: Is the whole subject taller than it is wide? About how many widths fit into the height? Where is the halfway point? Then break the subject into basic shapes such as rectangles, circles, triangles, and cylinders.

'''Comparative measurement''' means choosing one visible length as a temporary unit and comparing other lengths to it. For example, the width of a bottle might be your unit. You can then estimate whether the bottle is three, four, or five widths tall. This is a visual ratio, so the unit can change from one drawing to another.

{{#ev:youtube|https://www.youtube.com/watch?v=tZtnKp4fAPk|500|center}}

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== Measuring with a Pencil ==

You can use a pencil as a simple sighting tool when drawing from life.

# Hold the pencil at arm's length and keep your elbow straight so the distance between your eye and the pencil stays steady.
# Close one eye so that your view is consistent.
# Align the pencil tip with one end of the length you want to compare.
# Use your thumb to mark the other end on the pencil.
# Compare that measured length with another visible length in the subject.

This method does not give an exact physical measurement. It helps you compare '''apparent''' sizes from one fixed viewpoint. If you move closer, farther away, or change your arm position, the comparison changes.

Also check '''alignment'''. Imagine vertical and horizontal guide lines passing through important points. You may notice, for example, that the edge of a cup lines up with the corner of a book. These relationships can reveal mistakes that are hard to notice when you focus only on outlines.

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== Negative Space and Simple Shapes ==

'''Negative space''' is the empty shape around or between objects. If you draw two chair legs, the gap between them has its own shape. Sometimes that gap is easier to compare than the legs themselves.

Start complex subjects with simple forms. A head can begin as an oval, a building as a box, and a bottle as a cylinder. This is called '''blocking in'''. Light construction lines let you test proportion before committing to dark outlines.

[[File:Divina proportione.png|400px|frameless|center]]

Historical diagrams of proportion can show how artists have searched for systems and patterns. Treat such diagrams as examples of artistic study, not as rules that every person or object must fit. Real people and natural forms vary.

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= Perspective: Making Space Look Deep =

Perspective drawing represents how a scene appears from a particular viewpoint. In ordinary linear perspective, objects usually appear smaller as they get farther away, and sets of receding parallel edges appear to move toward vanishing points.

Three ideas are especially important:

# '''Horizon line''': In a perspective construction, this represents the viewer's eye level. It can be high, low, centered, or even outside the visible scene.
# '''Vanishing point''': A point toward which a family of parallel receding lines appears to converge.
# '''Receding lines''': Edges that move away from you in space. In drawing instruction, guide lines toward vanishing points are often called orthogonals.

A horizon line is not always the same as a visible skyline. In an indoor scene, for example, you may not see the outdoor horizon at all, but you can still establish eye level.

[[File:1 point perspective.svg|500px|frameless|center]]

{{#ev:youtube|https://www.youtube.com/watch?v=XRrKohWdpeQ|500|center}}

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== Depth Cues Beyond Linear Perspective ==

You do not need a ruler to create every sense of depth. Several visual cues can work together:

# [[English:Overlap|Overlap]]: A nearer object can cover part of a farther object.
# [[English:Relative size|Relative size]]: Two objects of similar real size usually appear different in size when one is much farther away.
# [[English:Vertical placement|Vertical placement]]: On a level ground plane, objects placed nearer the horizon often appear farther away.
# [[English:Detail|Detail]]: Nearby textures can be shown with more visible detail than distant textures.
# [[English:Atmospheric perspective|Atmospheric perspective]]: Distant forms can appear lower in contrast because of the atmosphere between you and them.
# [[English:Foreshortening|Foreshortening]]: A form pointing toward or away from you can appear shorter than the same form seen from the side.

These cues are useful in realistic drawing, illustration, comics, stage design, architecture, and game concept art.

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= One-Point Perspective =

One-point perspective is especially useful when one major face of an object is parallel to the picture plane and its depth edges move directly away from you. A straight hallway, a room seen from the front, a road, or rows of shelves can often be simplified this way.

To construct a simple box in one-point perspective:

# Draw a horizon line.
# Place one vanishing point on the horizon.
# Draw the front face of the box as a rectangle.
# From its corners, draw light guide lines toward the vanishing point.
# Choose where the back of the box ends.
# Draw the back edges with vertical and horizontal lines.
# Erase construction lines that are no longer needed.

The front face keeps its ordinary rectangular shape because it faces you directly. The depth edges aim toward the same vanishing point.

[[File:Drawing Square in Perspective 1.svg|500px|frameless|center]]

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== One-Point Room Challenge ==

Try a room with the horizon line at your natural eye level. Draw the back wall first, then place a vanishing point on it. Use light guide lines to construct the floor, ceiling, side walls, furniture, windows, or wall decorations. Check that objects touching the same side wall use receding edges that move toward the same vanishing point.

A high horizon line makes you feel as if you are looking down into the scene. A low horizon line makes you feel closer to the floor or as if you are looking upward more strongly. Changing eye level changes the mood and the amount of each surface you can see.

{{#ev:youtube|https://www.youtube.com/watch?v=Z6f61MVYpMY|500|center}}

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= Two-Point Perspective =

Two-point perspective is useful when you see the corner of a box or building and neither side faces you directly. One family of horizontal receding edges heads toward a vanishing point on the left, while another family heads toward a vanishing point on the right.

To draw a simple box:

# Draw a horizon line and place two vanishing points far apart.
# Draw one vertical line for the nearest corner of the box.
# Connect the top and bottom of that line to both vanishing points with light guides.
# Choose the left and right widths of the box by adding two vertical edges.
# From the tops and bottoms of those edges, draw guides toward the opposite vanishing points.
# Clean up the construction and keep the visible edges.

[[File:2-Point Perspective Grid.png|500px|frameless|center]]

When the two vanishing points are too close together, the box can look stretched or distorted. For many drawings, it helps to place vanishing points near the outer edges of the paper or even imagine them beyond the paper.

{{#ev:youtube|https://www.youtube.com/watch?v=R2Fm0r8mP24|500|center}}

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== Building with Repeated Forms ==

Doors, windows, bricks, floor tiles, and fence posts repeat in space. Their apparent sizes and gaps become smaller with distance. Do not simply make equal gaps all the way toward the horizon. Instead, use perspective construction, diagonals, or careful observation to show the compression.

[[File:Rectangular Prisms in a Two-Point Perspective Grid.png|500px|frameless|center]]

When several boxes share the same orientation, they can use the same pair of vanishing points. If an object turns in a different direction, it may need a different pair. This is why a busy street scene can contain more than two vanishing points even though each individual box is drawn with two-point perspective.

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= Combining Proportion and Perspective =

Proportion and perspective affect one another. Imagine three identical people standing at different distances on a level floor. The farther figures appear smaller, but their eye levels still relate to the same horizon if they are standing upright and are about the same height. The same idea applies to repeated lampposts, doors, or trees.

Before adding details, compare the largest relationships:
# How much of the page does the main object fill?
# Where is the horizon relative to the top and bottom of the page?
# How wide is one side of an object compared with the other?
# Which edges are truly vertical or horizontal, and which ones recede?
# Which object overlaps another?
# Where do repeated forms become smaller?

A strong drawing is usually built from large relationships to small ones. If the large proportion is wrong, detailed shading will not fix the structure.

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== A Practical Drawing Sequence ==

Use this sequence when drawing from observation or imagination:

# '''Frame''': Decide what part of the scene will be included.
# '''Block in''': Mark the largest shapes with light lines.
# '''Check proportion''': Compare height, width, angles, and negative spaces.
# '''Set eye level''': Establish the horizon line if linear perspective is important.
# '''Find direction''': Determine which edges recede and where their vanishing points belong.
# '''Build forms''': Turn flat shapes into boxes, cylinders, or other simple volumes.
# '''Add overlap and scale change''': Reinforce near and far relationships.
# '''Refine''': Add details only after the structure works.
# '''Review''': Compare the drawing with the subject or your plan and revise.

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= Foreshortening and Viewpoint =

Foreshortening happens when a form points partly toward or away from you. Its length along the direction of sight appears compressed. A circular plate may look like an ellipse when tilted. A long box aimed toward you can look much shorter than it really is.

Viewpoint matters. If you change your head position while drawing from life, the shapes and alignments change. Choose a viewpoint and return to it consistently. This is especially important when using pencil measurement.

For imagined scenes, decide where the viewer is standing before you draw details. The horizon line records eye level, and vanishing points organize the directions of receding parallel edges.

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= A Short History of Linear Perspective =

Artists in many cultures have used different systems to represent space. In Europe during the Renaissance, artists and architects developed a systematic form of linear perspective based on geometry. Filippo Brunelleschi is often associated with early fifteenth-century demonstrations of the method, and Leon Battista Alberti described a mathematical approach to perspective in his treatise ''De pictura''.

[[File:Della Pittura Alberti perspective vanishing point.jpg|500px|frameless|center]]

Perspective is not the only valid way to organize pictorial space. Artists may deliberately flatten space, use multiple viewpoints, exaggerate scale, or ignore realistic proportion to communicate an idea. Learning linear perspective gives you one powerful visual system; it does not limit creative choices.

{{#ev:youtube|https://www.youtube.com/watch?v=bkNMM8uiMww|500|center}}

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= Common Problems and How to Fix Them =

'''Problem: The object is too tall or too wide.''' Return to the bounding box and compare the overall width-to-height relationship before editing details.

'''Problem: A drawing looks tilted.''' Check true verticals and horizontals. Then separate them from edges that should recede toward a vanishing point.

'''Problem: A one-point room looks inconsistent.''' Trace the depth edges lightly. They should agree on one main vanishing point when the surfaces share the same orientation.

'''Problem: A two-point building looks distorted.''' Move the vanishing points farther apart and keep vertical edges vertical unless you intentionally use three-point perspective.

'''Problem: Repeated objects look evenly spaced even in the distance.''' Reduce their apparent size and spacing as they move away, using observation or a perspective grid.

'''Problem: Details look polished but the drawing still feels wrong.''' Squint, step back, or view the image at a smaller size. Recheck the large masses, their alignment, and their proportion.

'''Problem: You erased so much that the paper became messy.''' Use lighter construction lines at the start. Commit to darker lines only after checking the structure.

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= Vocabulary =

# [[English:Proportion|Proportion]]: The size relationship between parts or between a part and a whole.
# [[English:Ratio|Ratio]]: A comparison of two quantities or lengths.
# [[English:Scale|Scale]]: The size of something compared with its original size or another reference.
# [[English:Horizon line|Horizon line]]: The eye-level line used to organize linear perspective.
# [[English:Vanishing point|Vanishing point]]: A point toward which parallel receding lines appear to converge.
# [[English:Orthogonal|Orthogonal]]: In perspective drawing, a guide line that recedes toward a vanishing point.
# [[English:Foreshortening|Foreshortening]]: The apparent shortening of a form that points toward or away from the viewer.
# [[English:Negative space|Negative space]]: The empty shape around or between objects.
# [[English:Overlap|Overlap]]: A depth cue in which one form partly covers another.
# [[English:Composition|Composition]]: The arrangement of visual elements within an image.

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= Interactive Tasks =

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== Quiz: Test Your Knowledge ==

{{MC}}

'''What does proportion describe in a drawing?'''
(The size relationship between parts)
(!The darkness of every line)
(!The brand of pencil used)
(!The number of colors in the image)

{{E}}
<br>

{{MC}}

'''What does the horizon line represent in linear perspective?'''
(The viewer's eye level)
(!The edge of the paper)
(!The darkest shadow)
(!The center of every object)

{{E}}
<br>

{{MC}}

'''What is a vanishing point?'''
(A point where receding parallel lines appear to meet)
(!A place where all drawing details must stop)
(!A point used only for circles)
(!The highest point of every object)

{{E}}
<br>

{{MC}}

'''Which scene is especially suitable for one-point perspective?'''
(A hallway viewed straight on)
(!A sphere viewed from above)
(!A flat pattern with no depth)
(!A color wheel)

{{E}}
<br>

{{MC}}

'''When is two-point perspective especially useful?'''
(When you see the corner of a box)
(!When every shape is a circle)
(!When the scene has no horizon)
(!When you are mixing paint)

{{E}}
<br>

{{MC}}

'''What is comparative measurement used for?'''
(Checking one visible length against another)
(!Choosing a color scheme)
(!Making every line equally dark)
(!Removing all construction lines first)

{{E}}
<br>

{{MC}}

'''What is foreshortening?'''
(The apparent shortening of a form pointing in depth)
(!The use of only short pencils)
(!The process of adding color to a sketch)
(!The repetition of equal gaps into the distance)

{{E}}
<br>

{{MC}}

'''Which depth cue occurs when one object partly covers another?'''
(Overlap)
(!Symmetry)
(!Hatching)
(!Outline)

{{E}}
<br>

{{MC}}

'''What should you usually check before adding small details?'''
(The large shapes and proportions)
(!The signature in the corner)
(!The final frame color)
(!The exact number of eraser marks)

{{E}}
<br>

{{MC}}

'''What often improves a distorted two-point perspective box?'''
(Moving the vanishing points farther apart)
(!Removing the horizon line completely)
(!Making every edge horizontal)
(!Using equal spacing for all depth lines)

{{E}}
<br>

{{BR}}
== Memory Game ==

<div class="memo-quiz">
{|
|-
| Proportion || Relationship of sizes between parts
|-
| Horizon || Eye level in a perspective drawing
|-
| Vanishing point || Place where receding parallel lines appear to converge
|-
| Orthogonal || Guide line that recedes toward a vanishing point
|-
| Foreshortening || Apparent compression of a form pointing in depth
|-
| Negative space || Empty shape around or between objects
|-
| Overlap || Depth cue created when one form covers part of another
|}
{{E}}
<br>

{{BR}}
== Drag and Drop ==

<div class="lueckentext-quiz">

{| class="wikitable"
! Match the correct terms.
! Topic
|-
| '''Horizon line'''
| Viewer eye level
|-
| '''Vanishing point'''
| Convergence of receding lines
|-
| '''Comparative measurement'''
| Checking one visible length against another
|-
| '''Negative space'''
| Empty shape between objects
|-
| '''Foreshortening'''
| Apparent shortening in depth
|}
{{E}}

<br>
...
<br />

{{BR}}
== Crossword Puzzle ==

<div class="kreuzwort-quiz">
{|
|-
| Proportion || What word means the size relationship between parts?
|-
| Horizon || What eye-level line organizes linear perspective?
|-
| Vanishing || What word completes the term for the point where receding lines appear to meet?
|-
| Orthogonal || What perspective guide line recedes toward a vanishing point?
|-
| Overlap || What depth cue happens when one object partly covers another?
|-
| Foreshortening || What word describes apparent compression of a form pointing in depth?
|}
{{E}}
<br>

{{BR}}
== LearningApps ==

<iframe> https://learningapps.org/index.php?s=Drawing+with+Proportion+and+Perspective </iframe>

{{BR}}
== Cloze Text ==

<quiz display=simple>
{'''Complete the text.'''<br>
|type="{}"}
In drawing, { proportion } describes how the size of one part relates to another. A simple bounding box can help you judge the subject's overall { shape }. Comparative measurement uses one visible length as a temporary { unit }. In linear perspective, the { horizon } represents eye level. A family of receding parallel edges appears to move toward a { vanishing point }. One-point perspective is useful when a major face of an object is { frontal }. Two-point perspective is useful when you see the { corner } of a box. A form aimed toward the viewer may appear compressed because of { foreshortening }. Empty shapes around objects are called { negative space }. Good drawings are usually checked for large relationships before adding small { details }.
</quiz>

<br>

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= Open-Ended Tasks =

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=== Easy ===
# [[English:Proportion Hunt|Proportion Hunt]]: Easy — Find five objects in your classroom or home, sketch them as simple shapes, and label at least two width-to-height comparisons in each sketch.
# [[English:Shape Block-In|Shape Block-In]]: Easy — Choose one everyday object, draw three light construction sketches using only basic shapes, and circle the version with the strongest overall proportion.
# [[English:Horizon Line Photo Study|Horizon Line Photo Study]]: Easy — Take or select three safe everyday photographs, estimate the eye level in each image, and draw a line where you think the horizon belongs.
# [[English:Perspective Vocabulary Comic|Perspective Vocabulary Comic]]: Easy — Create a four-panel comic that correctly uses and explains the terms horizon line, vanishing point, overlap, and proportion.

{{BR}}
=== Standard ===
# [[English:Still-Life Measurement Study|Still-Life Measurement Study]]: Standard — Arrange three objects, draw them from one fixed viewpoint, use pencil measurement to compare their major lengths, and write a short reflection on one correction you made.
# [[English:One-Point Room Design|One-Point Room Design]]: Standard — Design a bedroom, studio, library, or game room in one-point perspective with at least five objects that follow the same eye level.
# [[English:Two-Point Street Corner|Two-Point Street Corner]]: Standard — Draw a corner building in two-point perspective and add doors, windows, signs, and one repeated element that becomes smaller with distance.
# [[English:Artist Interview|Artist Interview]]: Standard — Interview an artist, designer, architect, teacher, or student about how they check proportion or perspective, then summarize three practical strategies you learned.

{{BR}}
=== Advanced ===
# [[English:Forced Perspective Experiment|Forced Perspective Experiment]]: Advanced — Create a safe tabletop scene or photograph that makes one object appear unusually large or small through viewpoint and distance, then explain the illusion with a diagram.
# [[English:Architecture Field Sketch|Architecture Field Sketch]]: Advanced — Visit a suitable public building, school corridor, or outdoor street with permission, make a perspective sketch on location, and annotate the likely horizon and vanishing points.
# [[English:Perspective Explainer Video|Perspective Explainer Video]]: Advanced — Produce a two- to four-minute instructional video that demonstrates one-point or two-point perspective and includes at least one deliberate error followed by its correction.
# [[English:Capstone Environment Drawing|Capstone Environment Drawing]]: Advanced — Create a finished interior or exterior scene that combines accurate proportion, one-point or two-point perspective, overlap, scale change, and at least three levels of detail from near to far.

{{:Open Task - Create a MOOC}}

{{BR}}
= Learning Assessment =

# [[English:Proportion Diagnosis|Proportion Diagnosis]]: Compare a reference object with a learner drawing, identify two proportional errors, and explain which visual measurements would help correct them.
# [[English:Perspective Error Analysis|Perspective Error Analysis]]: Given a room drawing with inconsistent depth edges, explain how you would locate the intended vanishing point and revise the construction.
# [[English:Viewpoint Transfer|Viewpoint Transfer]]: Redraw the same simple box scene with a high eye level and a low eye level, then explain how the visible surfaces and mood change.
# [[English:Design Application|Design Application]]: Plan a small room or street corner for a specific user and justify whether one-point or two-point perspective is the better construction method.
# [[English:Observation to Imagination|Observation to Imagination]]: Study a real chair or box, record its proportions, then invent a new object that keeps believable proportions while changing its design.
# [[English:Reflective Revision|Reflective Revision]]: Submit an early and revised drawing, mark at least three structural changes, and explain how proportion or perspective evidence led to each decision.

<br>
<br>

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= Evidence of Learning =

# '''Knowledge''': You can explain proportion, ratio, horizon line, vanishing point, orthogonals, overlap, and foreshortening in your own words.
# '''Skills''': You can block in simple forms, compare apparent measurements, keep a consistent viewpoint, and construct simple one-point and two-point scenes.
# '''Products''': You can show a sequence of practice sketches, a corrected observational study, a perspective construction, and a finished composition.
# '''Reasoning''': You can diagnose why a drawing feels distorted and support your correction with visible relationships rather than guessing.
# '''Transfer''': You can apply the same ideas to illustration, architecture, product design, comics, photography, stage design, or digital art.

<br>
<br>

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= OERs on the Topic =

<iframe> https://en.m.wikipedia.org/wiki/Perspective_(graphical) </iframe>

<br>

{{BR}}
= Linked Learning Areas =

{| align=center
{{:D-Tab}}
'''[[English:Drawing with Proportion and Perspective|Drawing with Proportion and Perspective]]'''
# [[English:Drawing|Drawing]]
# [[English:Proportion|Proportion]]
# [[English:Ratio|Ratio]]
# [[English:Geometry|Geometry]]
# [[English:Linear perspective|Linear perspective]]
# [[English:One-point perspective|One-point perspective]]
# [[English:Two-point perspective|Two-point perspective]]
# [[English:Vanishing point|Vanishing point]]
# [[English:Foreshortening|Foreshortening]]
# [[English:Visual arts|Visual arts]]
# [[English:Architecture|Architecture]]
# [[English:Design|Design]]
|}

[[Category:English]]
[[Category:Art]]
[[Category:Visual arts]]
[[Category:Drawing]]
[[Category:Geometry]]
[[Category:Grades 7-8]]

{{BR}}
= aiMOOC Projects =
[[Category:English]]
[[Category:Drawing with Proportion and Perspective]]
[[Category:Art]]
[[Category:Visual arts]]
[[Category:Drawing]]
[[Category:Geometry]]
[[Category:Grades 7-8]]
[[Category:AI_MOOC]]
[[Category:GPT aiMOOC]]
{{MT}}

English:Drawing with Proportion and Perspective - Versionsgeschichte

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