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" If equals be taken from equals the remainders are equal. 4. If equals be added to unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. 6. Things which are double of the same are equal to one another. "
Hand Book of Calculations for Engineers and Firemen: Relating to the Steam ... - Σελίδα 130
των Nehemiah Hawkins - 1901 - 319 σελίδες
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A Course of Mathematics ...: Composed for the Use of the Royal Military ...

Charles Hutton - 1811 - 406 σελίδες
...added to equals, the wholes are equal. 3. When equals are taken from equals, the remains are equal. \ 4. When equals are added to unequals, the wholes are...unequal. 5. When equals are taken from unequals, the remains are unequal. 6. Things which are double of the same thing, or equal things, are equal to each...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...If equals be added to unequal», the «holes яге unequal. 5. If equals be taken from unequal«, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Thing-s which are iial-.es of the same, are -equal -to one another, 8....

A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Τόμος 1

Charles Hutton - 1816 - 610 σελίδες
...taken from equals, the remainders are equal . 4. When equals are added to unequals, the wholes arc Unequal. 5. When equals are taken from unequals, the...equal things, are equal to each other. 7. Things which arc halves of the same thing, afe equal. 8. Every whole is equal to all its parts taken together. 9....

Encyclopaedia Perthensis; or, Universal dictionary of Knowledge ..., Τόμος 10

Encyclopaedia Perthensis - 1816 - 772 σελίδες
...equals, the wholes are equal. 3. When equals are taken from equals, the remainders are equal, 4. Wlren equals are added to unequals, the wholes are unequal. 5. When equals are taken fronj unequala, the remainders are unequal. 6. Things which are doubles of the fame thing are equal...

Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Τόμος 10

1816 - 764 σελίδες
...fronrequals, the remainders are equal. 4. When equals are added to unequals, the wholes are unequal. ,5._\Vhen equals are taken from unequals, the remainders are unequal. 6. Things which are doubles of the fame thing are equal to one another 7-. Tilings 'which are halves of the fame thing...

The First Six Books with Notes

Euclid - 1822 - 222 σελίδες
...the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same or of equals, are equal to one another. 7. Things which are halves of the same or of equals, are equal...

A treatise on navigation, and nautical astronomy

Edward Riddle - 1824 - 572 σελίδες
...added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders are equal. 4. When equals are added to unequals, the wholes are...are taken from unequals, the remainders are unequal. с 6. Things which are like multiples of th'e same, or of equal tilings, are equal to each other. 7....

A Course of Mathematics for the Use of Academies: As Well as ..., Τόμος 1

Charles Hutton - 1825 - 608 σελίδες
...added to equals, the wholes are equal. 3. When equals are taken from equals, the remainders are equal. 4. When equals are added to unequals, the wholes are unequal. 5. When equals are taken (ym unequals : the remainders are unequal. 6. Things which are double of the same thing, or equal things,...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequal s, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Magnitudes...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 σελίδες
...the remainders are equal. 4. If equals be added to unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 8. Things...




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