Leonardo da Vinci's Vitruvian Man Leonardo da Vinci's Vitruvian Man shows how the proportions of the human body fit perfectly into a circle or a square. With these proportions, your arm span (distance from fingertip to fingertip) should be equal to your height (distance from head to heels). In this laboratory exercise, you will see if this is true! In this activity you will explore the legitimacy of Vitruvius' theory by developing a hypothesis regarding the Vitruvian Man. Background Information Leonardo da Vinci, a famous Italian renaissance inventor and painter, was greatly influenced by a man named Vitruvius. Vitruvius was a Roman engineer and architect during the first century B.C. Vitruvius discovered a formula to model what he thought were ideal proportions for a man. Da Vinci used this ideal model when drawing the Vitruvian Man in about the year 1490. The drawing shows a man standing in a square, which is inside a circle. The man has two pair of outstretched arms and two pair of outstretched legs. These are some of the proportions given for the Vitruvian Man: • The span of the man's arms is equal to his height. • The width of his shoulders is one-fourth of his height. • The distance from the top of his head to the middle of his chest is one-fourth of his height. • The distance from the middle of his chest to the top of his leg is one-fourth of his height. • The distance from the top of his leg to the bottom of his knee is one-fourth of his height. • The distance from the bottom of his knee to the bottom of his foot is one-fourth of his height.

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Leonardo da Vinci's Vitruvian Man
Leonardo da Vinci's Vitruvian Man shows how the proportions of the human body fit perfectly into a
circle or a square. With these proportions, your arm span (distance from fingertip to fingertip) should
be equal to your height (distance from head to heels). In this laboratory exercise, you will see if this is
true! In this activity you will explore the legitimacy of Vitruvius' theory by developing a hypothesis
regarding the Vitruvian Man.
Background Information
Leonardo da Vinci, a famous Italian renaissance inventor and painter, was greatly influenced by a
man named Vitruvius. Vitruvius was a Roman engineer and architect during the first century B.C.
Vitruvius discovered a formula to model what he thought were ideal proportions for a man. Da Vinci
used this ideal model when drawing the Vitruvian Man in about the year 1490.
The drawing shows a man standing in a square, which is inside a circle. The man has two pair of
outstretched arms and two pair of outstretched legs. These are some of the proportions given for the
Vitruvian Man:
• The span of the man's arms is equal to his height.
• The width of his shoulders is one-fourth of his height.
• The distance from the top of his head to the middle of his chest is one-fourth of his height.
• The distance from the middle of his chest to the top of his leg is one-fourth of his height.
• The distance from the top of his leg to the bottom of his knee is one-fourth of his height.
• The distance from the bottom of his knee to the bottom of his foot is one-fourth of his height.
1
Transcribed Image Text:Leonardo da Vinci's Vitruvian Man Leonardo da Vinci's Vitruvian Man shows how the proportions of the human body fit perfectly into a circle or a square. With these proportions, your arm span (distance from fingertip to fingertip) should be equal to your height (distance from head to heels). In this laboratory exercise, you will see if this is true! In this activity you will explore the legitimacy of Vitruvius' theory by developing a hypothesis regarding the Vitruvian Man. Background Information Leonardo da Vinci, a famous Italian renaissance inventor and painter, was greatly influenced by a man named Vitruvius. Vitruvius was a Roman engineer and architect during the first century B.C. Vitruvius discovered a formula to model what he thought were ideal proportions for a man. Da Vinci used this ideal model when drawing the Vitruvian Man in about the year 1490. The drawing shows a man standing in a square, which is inside a circle. The man has two pair of outstretched arms and two pair of outstretched legs. These are some of the proportions given for the Vitruvian Man: • The span of the man's arms is equal to his height. • The width of his shoulders is one-fourth of his height. • The distance from the top of his head to the middle of his chest is one-fourth of his height. • The distance from the middle of his chest to the top of his leg is one-fourth of his height. • The distance from the top of his leg to the bottom of his knee is one-fourth of his height. • The distance from the bottom of his knee to the bottom of his foot is one-fourth of his height. 1
OBJECTIVE
You will learn and practice the scientific method by measuring human dimensions.
A hypothesis is a possible explanation for a set of observations or an answer to a scientific question.
A hypothesis is useful only if it can be tested. Testable bynothesis are generally written in a
formalized format using an if/then statement.
If my car does not start because the battery is dead, then when I replace the old battery with a
new one it will start.
If increasing physical activity causes a person to burn calories and lose weight, then I should
lose weight if I run 2 miles a day and do not increase my calorie intake.
A formalized, hypothesis contains both a dependent and an independent variable. The independent
variable in the one that YOU change and the dependent variable is the one you observe and measure
to collect data. Using the if-then format, If I change temperature, then what will happen to movement.
Temperature is the independent variable because I change it and movement is the dependent
variable because it is the one that is observed to look for change. Using the if-then format forces the
scientist to think about what results are expected.
The subject of the exercise is Leonardo da Vinci's drawing Vitruvian Man. You will focus on the
primary proportion of the drawing, "The span of the man's arms is equal to his height." You will test a
hypothesis regarding Vitruvius' theory on human proportions.
The scientific method consists of the following steps:
1. From observations, state a question
2. Write a hypothesis
3. Design an experiment to test the hypothesis
4. Gather data by doing the experiment
5. Analyze the data
6. Write and explain your conclusion
MATERIALS
Measuring Tape
Masking tape
Chalk
PROCEEDURE
1. Write an if-then hypothesis based on Vitruvius' theory relating arm span and height. Record your
hypothesis on the student answer page. Example hypothesis:
Remember to use metric units (centimeters)
If the Vitruvian Man ratio/theory is
Then the arm span and height will be the
(correct/incorrect):
(same/different).
(pick one)
(pick one)
2. Working with a partner, measure your arm span by standing against a flat surface and spreading
your arms out as far as possible. Have your partner measure the distance from the longest finger on
one hand to the tip of the longest finger on the other hand. Measure to the nearest centimeter.
Record measurements in Data Table 1.
3. Repeat step two on your partner.
4. Remove your shoes and have your partner measure your height as you stand against a flat
surface. Measure the distance from the top of your head to the floor. Measure to the nearest
centimeter. Record measurements in Data Table 1.
5. Repeat step 4 on your partner.
6. Calculate the difference between your arm span and your height (arm span-height)
7. Go back and make a conclusion on your original hypothesis-- Was it right or wrong??
2
Transcribed Image Text:OBJECTIVE You will learn and practice the scientific method by measuring human dimensions. A hypothesis is a possible explanation for a set of observations or an answer to a scientific question. A hypothesis is useful only if it can be tested. Testable bynothesis are generally written in a formalized format using an if/then statement. If my car does not start because the battery is dead, then when I replace the old battery with a new one it will start. If increasing physical activity causes a person to burn calories and lose weight, then I should lose weight if I run 2 miles a day and do not increase my calorie intake. A formalized, hypothesis contains both a dependent and an independent variable. The independent variable in the one that YOU change and the dependent variable is the one you observe and measure to collect data. Using the if-then format, If I change temperature, then what will happen to movement. Temperature is the independent variable because I change it and movement is the dependent variable because it is the one that is observed to look for change. Using the if-then format forces the scientist to think about what results are expected. The subject of the exercise is Leonardo da Vinci's drawing Vitruvian Man. You will focus on the primary proportion of the drawing, "The span of the man's arms is equal to his height." You will test a hypothesis regarding Vitruvius' theory on human proportions. The scientific method consists of the following steps: 1. From observations, state a question 2. Write a hypothesis 3. Design an experiment to test the hypothesis 4. Gather data by doing the experiment 5. Analyze the data 6. Write and explain your conclusion MATERIALS Measuring Tape Masking tape Chalk PROCEEDURE 1. Write an if-then hypothesis based on Vitruvius' theory relating arm span and height. Record your hypothesis on the student answer page. Example hypothesis: Remember to use metric units (centimeters) If the Vitruvian Man ratio/theory is Then the arm span and height will be the (correct/incorrect): (same/different). (pick one) (pick one) 2. Working with a partner, measure your arm span by standing against a flat surface and spreading your arms out as far as possible. Have your partner measure the distance from the longest finger on one hand to the tip of the longest finger on the other hand. Measure to the nearest centimeter. Record measurements in Data Table 1. 3. Repeat step two on your partner. 4. Remove your shoes and have your partner measure your height as you stand against a flat surface. Measure the distance from the top of your head to the floor. Measure to the nearest centimeter. Record measurements in Data Table 1. 5. Repeat step 4 on your partner. 6. Calculate the difference between your arm span and your height (arm span-height) 7. Go back and make a conclusion on your original hypothesis-- Was it right or wrong?? 2
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