 | Euclides - 1816 - 588 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. BouK I. Because the point B is the centre of the circle CGH, \j~v~j!"y BC is equal* to BG; and because... | |
 | 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...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 ftraight line mi eis two... | |
 | 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... | |
 | 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... | |
 | Euclid - 1822 - 222 pages
...of the same or of equals, are equal to one another. 8. Magnitudes which coincide with one another, are equal to one another. 9. The whole is greater than its part. 10. Two right lines cannot inclose a space. 1 1. All right tt$w£ are equal to one another. 12. If a right... | |
 | Peter Nicholson - Architecture - 1823 - 210 pages
...thing, 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...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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...the 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... | |
 | 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... | |
 | Euclides - 1826 - 226 pages
...are halves of the same, are equal to one another. 8. Things which mutually agree with one another, are equal to one another. 9. The whole is greater than its part. PROPOSITION I. PROBLEM. Upon a given finite right line to describe an equilateral triangle Let AB be... | |
 | 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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Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another. 
