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" Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. "
Mensuration of Lines, Areas, Surfaces, and Volumes ... - Page xvi
by Robert Rawson - 1856
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An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816 - 224 pages
...same, are equal to one another. 7. Things which are halves of the same, are equal to one another. , 8. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 11. All right...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1819 - 800 pages
...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 to one another. 9. The whole is greater than its part. 10. Two straight lines cannot inciose a »pace. 1 1. All right...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Psychology - 1821 - 348 pages
...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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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - Architecture - 1823 - 210 pages
...are equal to one another. 7. Things which are halves of the same thing, are equal to one another. 8. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Only one straight line can be drawn from one point to another....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...same, are equal to one another. 7. 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 space, are equal to one another. 0. The whole is greater than its part. 10. Twfc«».^^^ lines cannot...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...which are halves of the same thing, are equal to one another. VIII. — Magnitudes which coincide wiih one another, that is, which exactly fill the same space, are equal to one another. IX. — The whole is greater than its part, and equal to all its parts taken together. X. — All right...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...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. IX. The whole is greater than its part. X. Two straight lines cannot inclose a space. XI. All right...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 138 pages
...same, are equal to one another. 7. Things which are halves of the same, are equal to one another. i 8. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. 9. The whole is greater than its part. 10. Two straight lines cannot inclose a space. II. All right...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...are equal to one another. 7. Things which are halves of the same thing are equal to one another. 8. Magnitudes which coincide with one another, that is,...exactly fill the same space, are equal to one another. 9. The whole is greater than its part. A. The whole is equal to all its parts taken together. ED. B....
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