 Things which are equal to the same thing are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal.  Plane Geometry - Σελίδα 73των William Betz, Harrison Emmett Webb, Percey Franklyn Smith - 1912 - 332 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | William Alexander Willock - 1875 - 196 σελίδες
...times that a common submultiple of them is contained in both. 5. Magnitudes which have the same ratio to the same magnitude, or to equal magnitudes, are equal to each other. SIMPLE RATIO. We proceed now to apply these principles to intersecting directives and the triangles... | |
 | Franklin Ibach - 1882 - 208 σελίδες
...more propositions. 39. AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals are added to equals, the sums are equal....equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal. 5. If equals are subtracted from unequals, the remainders... | |
 | Charles Davies, Adrien Marie Legendre - 1885 - 538 σελίδες
...breadth, and thickness. AXIOMS. 1. Things which are equal to the same thing, are equal to each other. 2. If equals are added to equals, the sums are equal....equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal. 5. If equals are subtracted from unequals, the remainders... | |
 | George Anthony Hill - 1888 - 200 σελίδες
...each equal to a third, are equal to each other; or, for any magnitude, its equal may be substituted. 2. If equals are added to equals, the sums are equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals are multiplied by equals, the products are... | |
 | George Anthony Hill - 1888 - 202 σελίδες
...each equal to a third, are equal to each other; or, for any magnitude, its equal may be substituted. 2. If equals are added to equals, the sums are equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals are multiplied by equals, the products are... | |
 | George Albert Wentworth - 1888 - 264 σελίδες
...terminated at any point. 82. AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals are added to equals the sums are equal. 3. If equals are taken from equals the remainders are equal. 4. If equals are added to unequals the sums are unequal,... | |
 | John Macnie - 1895 - 390 σελίδες
...of reference. AXIOMS. 1. Magnitudes equal to the same or equal magnitudes are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal.... | |
 | George Albert Wentworth - 1896 - 68 σελίδες
...radius of given length. 82. AXIOMS. 1. Things which are equal to the same thing are equal to each other. 2. If equals are added to equals the sums are equal. 3. If equals are taken from equals the remainders are equal. 4. If equals are added to unequals the sums are unequal,... | |
 | George Albert Wentworth - 1899 - 496 σελίδες
...1. Magnitudes which are equal to the same magnitude, or equal magnitudes, are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal... | |
 | George Albert Wentworth - 1899 - 278 σελίδες
...1. Magnitudes which are equal to the same magnitude, or equal magnitudes, are equal to each other. 2. If equals are added to equals, the sums are equal. 3. If equals are taken from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal... | |
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