 | William Nicholson - Natural history - 1809 - 716 pages
...truth of this rule depends upon these two principles ; 1. If one quantity measure another, it will ibo measure any multiple of that quantity. Let x measure y by the units in n, then it will measure cy by the units in n e. 2. If a quantity measure two others, it will measure their... | |
 | William Nicholson - Arts - 1819 - 432 pages
...the greatest common measure of a and b. The truth of this rule depends upon these two principles : 1. If one quantity measure another, it will also measure...that quantity. Let x measure y by the units in n, then will it measure cy by the units inn c. 2. If a quantity measure two others, it will measure their... | |
 | James Wood - Algebra - 1825 - 322 pages
...common — measure of a and b. О (91.) The truth of this rule depends upon these two principles ; I"1. If one quantity measure another, it will also measure any multiple of that quantity. Let x measure у by the units in n, then it will measure cy by the units in nc. 2d. If a quantity measure two others,... | |
 | James Wood - Algebra - 1841 - 492 pages
...be the greatest common measure of a fj and b. ~ 104. The truth of this rule depends upon these two principles ; 1st. If one quantity measure another,...measure any multiple of that quantity. Let x measure у by the units in n, then it will measure cy by the units in nc. 2d. If a quantity measure two others,... | |
 | James Wood - Algebra - 1845 - 442 pages
...greatest ^\ c ,r common measure of « and b. гд 104. The truth of this rule depends upon О these two principles; 1st. If one quantity measure another,...will also measure any multiple of that quantity. Let ta measure y by the units in n, then it will measure my by the units in mn; for since y = nx, my =... | |
 | Barnard Smith - 1857 - 740 pages
...of— (fx—oaf-1!- a3 and oaf +a8#— aV — a4 ; ac + bd+ad + bc and <z/+ 26^? + 2aa? + ft/ 71. If a quantity measure another, it will also measure any multiple of that quantity. Let Pmeasure Q by the units in m; ie let Q=mP : then nQ = mnP; therefore P will measure nQ by the units... | |
 | Thomas Dalton - 1876 - 344 pages
...the last divisor will be the o.с.M. The proof of the Rule depends upon the following principles: (i) If one quantity measure another, it will also measure any multiple of that quantity. For let A be a measure of В and contained k times in it ; then B = k A ; .: hB=lik;l, hence A is contained... | |
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Let x measure у by the units in n, then it will measure cy by the units in nc. 2d. If a quantity measure two others, it will measure their sum or difference. Let a be contained... 