 | Thomas Cogswell Upham - Intellect - 1832 - 622 pages
...the same, are equal to one another ; Things which are halves of the same, are equal to one another ; Magnitudes, which coincide with one another, (that...exactly fill the same space,) are equal to one another, &c. It will be admitted, (and we shall see it perhaps more clearly, when we again have occasion to... | |
 | Thomas Cogswell Upham - Intellect - 1832 - 610 pages
...; The whole is greater than a part; Things,whichare double of the same, are equal to one another ; Things which are halves of the same, are equal to one another ; Magnitudes, which coincide with one another, (that is, which exactly fill the same space,) are equal... | |
 | Euclid - Euclid's Elements - 1833 - 216 pages
...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 to one another. 8. Magnitudes, which coincide with one another, are equal to... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 202 pages
...greater than any one of its parts. TRUTH VI. The sum of all the parts is equal to the whole. TRUTH VII. . Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. TRUTH VIII. Between two points only one straight line can be drawn. TRUTH IX. The straight line is... | |
 | Euclides - 1834 - 518 pages
...are equal to one another. VII. Things which are halves of the same, arc equal to one another. VIII. Magnitudes which coincide with one another, that is, which exactly fill the same space, arc equal to one another. IX. The whole is greater than its part. X. Two straight lines cannot enclose... | |
 | Encyclopedias and dictionaries - 1835 - 1102 pages
...wholes are unequals. 5. Also, if from unequals equals be taken, the remainders are unequals. 6. Also, things which are double of the same are equal to one another. 7. Also, things which are halves of the same are equal to one another. 8. Also, things which fit one Mother... | |
 | Encyclopedias and dictionaries - 1835 - 566 pages
...wholes are unequals. 5. Also, if from unequals equals be taken, the remainders are uncquals. 6. Also, things which are double of the same are equal to one another. 7. Also, things which are halves of the same arc equal to one another. 8. Also, things which fit one another... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...be taken from unequals, the remainders are unequal. 6. Things which are doubles of the same thing, are equal to one another. 7. Things which are halves of the same thing, are equal to one another. 8. Two magnitudes, lines, surfaces, or solids, are equal, if, when... | |
 | Society for the Diffusion of Useful Knowledge (Great Britain) - 1835 - 564 pages
...wholes are unequals. 5. Also, if from unequals equals be taken, the remainders are unequals. 6. Also, things which are double of the same are equal to one another. 7. Also, things which are halves of the same are equal to one another. 8. Also, things which fit one another... | |
 | Euclid - 1835 - 540 pages
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide... | |
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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. 
