 | Thomas Baker (Civil engineer) - 1865 - 278 pages
...AED as the square of AB is to I lie. square of AE : that is, similar triangles are to one another in the duplicate ratio of their homologous sides. (Euc....similar solids are to one another as the cubes of their liko linear dimensions. (Euc. VI. 24.) CHAPTER II. DESCRIPTION OF INSTRUMENTS USED FOR MEASURING AND... | |
 | Septimus Tebay - Measurement - 1868 - 168 pages
...3 in. ; find the cost of breaking at 1 oid. per yard. Ans. us. SIMILAR SOLIDS. XLIX. The volumes of similar solids are to one another as the cubes of their like dimensions. The corresponding edges of similar parallelopipedons are proportional; but the volume of... | |
 | Thomas Baker (C.E.) - 1874 - 208 pages
...examples, 112. Fields, triangular, to survey with chain, 108; examples, 108. Figures all similar are like- to one another, as the squares of their homologous or like sides : theorem, 17. Frustrum, term defined, 54 : parabolic, to find the area of a, 49 ; formulae and examples,... | |
 | Alexis Claude Clairaut - 1881 - 184 pages
...polygon will be that required. The reason of this is obvious, on recalling, 1st Part, Par. 48, that similar figures are to one another as the squares of their homologous sides. 32. If we desired to make a circle of which the area should be to that of a given circle as... | |
 | Alexander Ingram - 1881 - 192 pages
...the cube roots of, ANS. -049 786 84 193 1-78 3-65 , 1-9129;2-1544 is. 1030607060301 ANS. 10101 NOTE. Similar solids are to one another as the cubes of their like dimensions. 16. If a globe, of which the diameter is 6 inches, weighs 18 Ibs. ; what will be the diameter... | |
 | Alexander Ingram - 1883 - 190 pages
...Required the cube root of 48627125. ANS. 365. 48,627,125 ( 365 root 27 15. 1030607060301 ANS. 10101 NOTE. Similar solids are to one another as the cubes of their like dimensions. ie. If a globe, of which the diameter is 6 inches, weighs 18 Ibs. ; what will be the diameter... | |
 | Thomas Baker - Railroads - 1891 - 262 pages
...AED a* the square of AB is to tlte square of AE : that is, similar triangles are to one another in the duplicate ratio of their homologous sides. (Euc....similar figures are to one another as the squares of then homologous, or like, sides. (Eue. VI. 20.) THEOREM IX. All similar solids are to one another as... | |
 | 1897 - 734 pages
...to one another in the duplicate ratio of their homologous or like sides. (Euclid VI. 19.) XIX. — All similar figures are to one another as the squares of their homologous or like sides. (Euclid VI. 20.) Nok. — If in two similar triangles one side is three times the corresponding side... | |
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AE : that is, similar triangles are to one another iii the duplicate ratio of their homologous sides. (Euc. VI. 19.) THEOREM VIII. All similar figures are to one another as the squares of their homologous, or like, sides. 
