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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... "
Key to System of practical mathematics. 2 pt. No.xvii - Σελίδα 9
των Scottish school-book assoc - 1845
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Τόμος 1

William Nicholson - 1809
...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...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 1

William Nicholson - 1819
...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...

The Elements of Algebra ...

James Wood - 1825 - 305 σελίδες
...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,...

The elements of algebra

James Wood - 1841 - 287 σελίδες
...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,...

The elements of algebra

James Wood - 1845 - 287 σελίδες
...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 =...

Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857
...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...

Rules and examples in algebra. 2 pt. [and] Key, Τόμος 2

Thomas Dalton - 1876
...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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