 | John William Hopkins, Patrick Healy Underwood - Arithmetic - 1912 - 406 pages
...of base I : square of base II. Area II : area III = square of altitude II : square of altitude III. The areas of similar figures are to each other as the squares of their corresponding dimensions. This fact is also useful in computations. Example. The area of a... | |
 | Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - Arithmetic - 1912 - 210 pages
...of one of the small circles. This is a very important and useful law and may be stated as follows: "The areas of similar figures are to each other as the squares of their like dimensions." A 2 in. circle contains 22X.7854 = 3.1416 sq. in., while a 6 in. circle... | |
 | Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - Arithmetic - 1912 - 210 pages
...of one of the small circles. This is a very important and useful law and may be stated as follows: "The areas of similar figures are to each other as the squares of their like dimensions." A 2 in. circle contains 22X. 7854 = 3. 1416 sq. in., while a 6 in. circle... | |
 | Walter Burton Ford, Charles Ammerman - Algebra - 1919 - 376 pages
...3 inches. How does its surface compare with the surface of a slate globe 2 ft. in diameter ? NOTE. The areas of similar figures are to each other as the squares on corresponding lines. 10. What proportion exists between the times ti and h it will take to do a... | |
 | Otto Willmann, Felix Marie Kirsch - Education - 1922 - 536 pages
...them returns to magnitudes of area. The theorem, however, can be deduced directly from the law that the areas of similar figures are to each other as the squares of any two homologous sides (or of any two homologous lines). Accordingly, the given right triangle... | |
 | Charles Thomas Millis - Technical education - 1925 - 200 pages
...polygons what he did with the squares and calculate the areas of these figures. It can then be stated that the areas of similar figures are to each other as the squares of their linear dimensions and apply this to linear dimensions and lead up to a conception of square... | |
 | Engineering - 1883 - 562 pages
...description of a method of earthwork computation by means of diagrams, constructed from the proposition : "The areas of similar figures are to each other as the squares of their homologous sides." An idea may be had of their nature and uses by the following directions : To get the average volume... | |
 | Daniel Barnard Hagar - Arithmetic - 1871 - 352 pages
...such a relation to each other that — 1. The like dimensions of similar figures are proportional. 2. The areas of similar figures are to each other as the squares of their corresponding dimensions. 3. The cubic contents of similar volumes are to each other as the... | |
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... similar figures are to each other as the squares of their homologous sides. 
