 ... the wholes will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the wholes will be unequal. 5. If equals be taken from unequals, the remainders will be unequal. 6. Things which are double...  The Sciences Epitomized - Page 79by J. J. Hooke - 1870 - 97 pagesFull view - About this book
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...remainders will be unequal. 6. Things which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all its parts.... | |
 | Charles Davies - Surveying - 1839 - 376 pages
...remainders will be unequal. 6. Things which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all its parts.... | |
 | Charles Davies - Surveying - 1839 - 376 pages
...remainders will be unequal. 6. Things which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all its parts.... | |
 | Charles Davies - Geometrical drawing - 1840 - 262 pages
...S* Axioms. — Of Angles. 4. Things which are double of the same thing are equal to each other. 5. Things which are halves of the same thing are equal to each other. 6. A whole is greater than any of its parts. 7. A whole is equal to the sum of all its parts.... | |
 | Charles Davies - Navigation - 1841 - 414 pages
...remainders will be unequal. 6. Things which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all its parts.... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...the wholes will be unequal. 6. Things.which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all its parts.... | |
 | Almon Ticknor - Measurement - 1849 - 156 pages
...the remainders will be unequal. 6. Things which are double the same thing are equal to each other. 7. Things which are halves of the same thing are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all its parts.... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...unequals, the wholes are unequal. 6. Things which are doubles of the same thing are equal to each other. 7. Things which are halves of the same thing are equal to each other. 8. Magnitudes which coincide with each other, that is, which exactly fill the same space, are... | |
 | Charles Davies - Geometry - 1850 - 218 pages
...remainders will be unequal. 6. Things which are double of equal things, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all its parts.... | |
 | Charles Davies - Geometry - 1850 - 238 pages
...remainders will be unequal. 6. Things which are double of equal things, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all its parts.... | |
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