Ratios of sides.2C of areas.2C and of volumes Similarity (geometry)

-


the ratio between areas of similar figures equal square of ratio of corresponding lengths of figures (for example, when side of square or radius of circle multiplied three, area multiplied 9 — i.e. 3 squared). altitudes of similar triangles in same ratio corresponding sides. if triangle has side of length b , altitude drawn side of length h similar triangle corresponding side of length kb have altitude drawn side of length kh. area of first triangle is, = 1/2bh, while area of similar triangle a′ = 1/2(kb)(kh) = ka. similar figures can decomposed similar triangles have areas related in same way. relationship holds figures not rectifiable well.


the ratio between volumes of similar figures equal cube of ratio of corresponding lengths of figures (for example, when edge of cube or radius of sphere multiplied three, volume multiplied 27 — i.e. 3 cubed).


galileo s square–cube law concerns similar solids. if ratio of similitude (ratio of corresponding sides) between solids k, ratio of surface areas of solids k, while ratio of volumes k.







Comments

Post a Comment

Popular posts from this blog

Journals by countries Pedophile press

-
1 journals countries 1.1 czech republic 1.2 denmark 1.3 france 1.4 india 1.5 netherlands 1.6 united states journals countries this partial list of publications aimed @ pedophiles. includes both scholarly journals , general information erotic magazines published legally in countries since late 1960s 1980s: czech republic destroyer (i love mags), 2006–10; 10 issues. gay magazine. issn 1801-8203 martin (entis verlag), 1990s. photographic magazine. denmark boy (coq). erotic magazine. piccolo (coq). erotic magazine. uncle jose (coq). erotic magazine. france backside (harold giroux), 1981-86. photographic magazine. issn 0755-1878. beach boys, 1985-86. photographic magazine. eklat, 1985. photographic magazine. gaie france, 1986-1993. culture magazine. jean s, 1985. photographic magazine. palestra, 1985. culture magazine. photokid, 1986. photographic magazine. india indian national man boy congress party publishes man boy congress sandesh . netherlands kalos on greek love, spring 197...
Read more

The Story Of Sugriva Sugriva

-
1 story of sugriva 1.1 sugriva , vali have disagreement 1.2 sugriva makes alliance 1.3 rama kills vali; sugriva takes on vanara kingdom 1.4 tara convinces sugriva rama conquer lanka the story of sugriva the story of sugriva part of ramayana , in abbreviated version, present in mahabharata. sugriva , vali have disagreement rama meets sugreeva vali ruled kingdom of kishkindha; subjects vanaras, or monkeys. tara wife. 1 day, raging demon name of maayaavi came gates of capital , challenged vali fight. vali accepted challenge, when sallied forth, demon fled in terror deep cave. vali entered cave in pursuit of demon, telling sugriva wait outside. when vali did not return , upon hearing demonic shouts in cave , seeing blood oozing mouth, sugriva concluded brother had been killed. heavy heart, sugriva rolled boulder seal cave s opening, returned kishkindha , assumed kingship on vanaras. vali, however, prevailed in combat demon , returned home. seeing sugriva acting king, concluded brother had ...
Read more

History Thames Ironworks and Shipbuilding Company

-
1 history 1.1 1837–46 1.2 1847–56 1.3 1857–1912 history 1837–46 the company originated in 1837 ditchburn , mare shipbuilding company, founded shipwright thomas j. ditchburn , engineer , naval architect charles mare. located @ deptford, after fire destroyed yard company moved orchard place in 1838, between east india dock basin , bow creek. there took on premises of defunct shipbuilders william , benjamin wallis. the firm did , within few years occupied 3 sites covering area of on 14 acres (5.7 ha). ditchburn , mare among first builders of iron ships in area; partnership commenced construction of small paddle steamers of between 50 , 100 tons, before progressing cross-channel vessels , 1840 building ships of more 300 tons. company s customers included iron steamboat company , blackwall railway company, several paddle steamers being constructed latter, including meteor , prince of wales, operated between gravesend , company s station on brunswick wharf. in period company awarded seve...
Read more