 | Euclid - Geometry - 1845 - 218 pages
...QED PROPOSITION X. THEOB. — That magnitude which has a greater ratio than another has unto the same magnitude, is the greater of the two : and that magnitude to which the same has a greater ratio than it has unto another magnitude, is the lesser of the two. Let A have to... | |
 | Euclides - 1846 - 292 pages
...which S$c. QED PROP. X. THEOR. That magnitude, which has a greater ratio than another has to the same magnitude, is the greater of the two : and that magnitude, to which the same has a greater ratio than it has to another magnitude, is the lesser of the two. Q \ First, let... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...etc. QED PROPOSITION X. TUEOR. That magnitude which has a greater ratio than another has unto the same magnitude, is the greater of the two : and that magnitude to which the same has a greater ratio than it has unto another . magnitude, is the less of the two. Let A have to... | |
 | Euclides - Geometry - 1853 - 176 pages
...PROPOSITION X. — THEOREM. Thai magnitude which has a greater ratio than another has unto the same magnitude is the greater of the two. And that magnitude to which the same has a greater ratio than it has unto another magnitude is the lesser of the two. LET a ha\ve to... | |
 | Euclides - 1855 - 230 pages
...1 1 PROPOSITION X. THEOREM.—That magnitude which has a greater ratio than another has to the same magnitude, is the greater of the two ; and that magnitude to which the same has a greater ratio than it has to another magnitude, is the lesser of the two. Let A have to... | |
 | Euclides - 1860 - 288 pages
...PROPOSITION X. THEOREM. (EUCLID X.) That magnitude which has a greater ratio than another has to the same magnitude is the greater of the two; and that magnitude to which the same has a greater ratio than it has to Another magnitude is the less of the two. (1.) Given the ratio... | |
 | Eucleides - 1860 - 396 pages
...C. PROPOSITION X. THEOREM. — That magnitude which has a greater ratio than another has to the same magnitude, is the greater of the two ; and that magnitude to which the same has a greater ratio than it has to another magnitude, is the lesser of the two. Let A have to... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...QED PROPOSITION X. THEOREM. 1T!at magnitude which has a greater ratio than another has unto HIP. tame magnitude, is the greater of the two; and that magnitude to which the same has a greater ratio than it has unto another magnitude, is the less of the two. Let A have to... | |
 | George Sturton Ward - Geometry, Algebraic - 1862 - 104 pages
...therefore a — b. PROPOSITION X. That magnitude which has a greater ratio than another has to the same magnitude, is the greater of the two; and that magnitude to which the same has a greater ratio than it has to another magnitude, is the less of the two. a, b, c. First,... | |
 | Euclides - 1865 - 402 pages
...equal to one another. Prop 10. That magnitude which has a greater ratio than another has unto the same magnitude, is the greater of the two: and that magnitude to which the same has a greater ratio than it has unto another magnitude, is the less of the two. Prop. 1 1 . Ratios... | |
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THAT magnitude which has a greater ratio than another has to the same magnitude, is the greater of the two : and that magnitude, to which the same has a greater ratio than it has to another magnitude, is the less of the two. 
