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" Things which are halves of the same are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. "
The Elements of Euclid [book 1] for beginners, by J. Lowres - Σελίδα 10
των Euclides - 1852
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...are equal to one another. VII. Things which are halves of the same are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. Book I. IX. * •,-.< The whole is greater than its part. X. Two straight lines cannot enclose a space....

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

John Mason Good - 1813 - 722 σελίδες
...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. 'Magnitudes...same space, are equal to one another. 9. The whole is greaterthan its part. 10. Two straight lines eaunot inclose a space. 1 1. All .right nnrlt'S arc equal...

Elements of the Philosophy of the Human Mind, Τόμος 2

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...K«i T» cQxf/Mfytrtt nr' aAAitA« IT'« «AAi,Ao/.; ttrrt : — thus translated by Dr. Simaon : " Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another." This, in truth, is not an axiom, but a definition. It is the definition of geometrical equality ; the...

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...to unequals, the whole are unequal. 5. If equals be taken from unequals, the remainder are unequal. 6. Things which are double of the same, are equal...another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. 3. GEOMETRICAL...

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...are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. BouK I. Because the point B is the centre of the circle CGH, \j~v~j!"y BC is equal* to BG; and because...

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

John Mason Good - 1819 - 740 σελίδες
...which are lulvej of the same, are equal to one another. Ь. Magnitudes which coincide withoneanotber, that is, which exactly fill the same space, are equal...another. 9. The whole is greater than its part. 10. Two straight lines cannot inciose a »pace. 1 1. All right angles are equal to one auother. IÍ. "If a...

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John Playfair - 1819 - 317 σελίδες
...equal to one another. VII. Things which are halves of the same thing, are equal to one another. VIII. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. IX. The whole is greater than its part. 3 X. All right angles are equal to one another. XI. " Two straight...

Elements of the Philosophy of the Human Mind, Τόμος 2

Dugald Stewart - 1821 - 350 σελίδες
...w*£u'.Ç'*vrî «»' лллих» lea яллялмс tm : — thus translated by Dr. Simson ; " Magnituui's which coincide with one another, that is, which exactly...fill the same " space, are equal to one another." This, in truth, is not an axiom, but a definition. It is the definition of geometrical equality ; the...

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...are double of the same thing, are equal to one another. 7. Things which are halves of the same thing, are equal to one another. 8. Magnitudes which coincide...another. 9. The whole is greater than its part. 10. Only one straight line can be drawn from one point to another. 11. Two straight lines cannot be drawn...




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