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in
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its easy to get wrapped up in a movie and focus in on just that one shop
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easing the audience's eyes is hard work there's more to it than pointing a
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camera
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and filming a scene each images carefully composed
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even one count sprains flash before our eyes believe it or not
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geometry is a main part of the cinematographers toolkit for creating
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beautiful images
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to do it these principles we can understand
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using mathematical concepts have congregants and similarity
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conduit forms are exactly the same shape and size
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the ratio of sizes corresponding parts from one to the other
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is 121 congruent forms are also similar
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similar forms are the same shape
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the corresponding parts have the same size ratio the ratio determines the
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scale love one
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with respect to the other solar shades proportions are preserved
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this larger triangles dimensions are twice the smaller ones
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the ratio is 2:1 cinematographers
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often use a method called the rule of thirds they divide screen in 29
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rectangles
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and place in image of senator and intersection this practice is considered
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to make the image is more interesting
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and placing a subject directly in the center these rectangles are all Condra
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with one another
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and similar to the entire frame in the mathematical sense
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similar forms are the same shape
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and corresponding sides all have the same ratio therefore
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two objects have different sizes but the same shape can be considered similar
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since their proportions are the same for example one small rectangle within the
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larger frame
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is similar to the largest rectangle this is because all corresponding
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angles are the same and each side of the smaller rectangle
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is one-third the length at the corresponding side
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the larger rectangle and the ratios at the link the short side
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to the link for the long side are equal for both to small rectangles are con-
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group
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because not only are they the same shape but since the sizeof corresponding sides
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are identical
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they're also exactly the same signs now that's a great shot
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huh
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this looks like the Capitol building but it only stands around seven feet tall
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it looks like the same shape but it's definitely not the same size as the real
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capitol building this label and many USA
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it has a model version of washington DC's money means including the United
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States Capitol building
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real capital statue of freedom alone stand nineteen feet 6 inches tall
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similar forms are the same shape and corresponding parts had the same ratios
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this ratio determines the scale and one object with respect to the other
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proportions within a shaper preserve concorde forms are similar
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but always with the ratio of 121 so that's why they're the same shape and
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size
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now back to our capital parts of its former similar
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but not conduit to the form in the corresponding parts at the actual
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building since it is smaller than the original measurements can reveal that it
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was built using a scale of 1 to 20
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meeting the relationship between the model in the original
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even if it's not the real thing it's still a capital experience
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our grand old flag stands for the american ideals liberty and justice
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so great care is taken in making new flax
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standard flag usually are geometrically similar to one another
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that means flag to the same size are also chondrite
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similar forms are the same shape and their corresponding parts have the same
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ratios
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this ratio determines the scale of one with respect to the other
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proportions within a shape are preserved con good forms are similar
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but always with the ratio of 1:1 so that's why they're the same shape
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insights
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this smaller flag is similar to the larger one waving in the wind
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because it had the same internal ratios and angles
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compare the rectangle shape than even the stars and stripes
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the corresponding sides all have the same ratio
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even the one is much larger than the other the baller flag has a with the two
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feet
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in a lake than three feet and the larger one had the with the fourth be
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in the lake them sixty in both the ratio of width to length
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is 223 the flag sure the proportion up to 23
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equals four to six the same as two-thirds equals 46
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win the overall size the flag proportionally increased
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here it's doubled the starfield link and whip
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are similarly increased as well the height the starfield in all flags is the
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height of seven strikes
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while the height of the entire flag is always thirteen stripes
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and every measurement on the larger flag here
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is twice the corresponding measurement on the smaller one not only our internal
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ratios preserve but the ratio the measurement on the large flag to the
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corresponding measurement on a similar small one
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is always the same here 221 to medium-sized flags are congress they
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have identical forms
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the corresponding measures have a proportion of 121
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that we put one on top of the other they match everywhere
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that's one star-spangled banner
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who bud
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life beneath the water's surface
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is as diverse as the ocean is why from serene scenes the creepy crawlers
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you can swim past the life to catch the concept of similarity
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right before your very eyes check out the shark pups
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their predators in the making and unlike many familiar animals
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the shark pub grub proportionally their parts all grow by about the same ratio
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over any period of time so
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the baby and it's mama are similar their forms are the same shape because their
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corresponding parts maintain about the same ratios as they grow
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the ratio of one measurement to another
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within a shape is the kinda internal ratio in similar forms
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a proportion can express the quality of the ratio within one shape
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to the course binding ratio in the other look at the baby shower
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it's been is about one and a half in chips and its total body length is about
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15 inches
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that the ratio of one to 10 for the lake the
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been to the lake the body on now look at the mom shark
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it stopped in is about six inches and its total body weight
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is 66 inches the ratio of been to body weight
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is about 12 11 nearly the same as the pups
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of course in biology there's always individual variation
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the relationship can be expressed in the form the proportion as one and a half to
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15
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is approximately equal 62 66
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the babies ratio of been to body length is roughly the same
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as the adults ratio of antibody link about 12 Ted
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we can also see the size is that the same parts in one animal compared to the
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other
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for been linked the ratio of the babies to the mother's
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is one and a half to six were about the same as 124
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for body size its 15 266
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about one 24.4 on
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notice that the two ratios are nearly as say they're both around 124
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this is the scaled the baby do with mother the pups about 1/4 his mom son's
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now take a peek at another creature in the deep this not a list
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a mollusk road by adding new sections to its shell
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and each new section is similar to the older ones even know if larger
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this growth forms a spiral pattern in which
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each new section follows the proportion established in the rest in the shell
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this allows the nodal a smart to grow into a spiral shape
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keeping its proportions equal between adjacent sections
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did think you can see all this in a day at the beach
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jump in the oceans OpenID



congruent and similar figures