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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. 9. The whole is greater than its part. 10. Two straight lines cannot enclose... "
Elements of Geometry: With Practical Applications, for the Use of Schools - Page xiv
by Timothy Walker - 1829 - 129 pages
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An Introduction to the Use of the Globes ... 3. Ed. Corr. and Enl

John Greig - 1816 - 224 pages
...equals be added 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,...greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. 3. GEOMETRICAL PROBLEMS. PROBLEM I....
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Pantologia. A new (cabinet) cyclopędia, 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...greater than its part. 10. Two straight lines cannot inciose a »pace. 1 1. All right angles are equal to one auother. IĶ. "If a ftraight line mi eis two...
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The First Six Books with Notes

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...
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The New Practical Builder and Workman's Companion, Containing a Full Display ...

Peter Nicholson - Architecture - 1823 - 210 pages
...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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Euclid's Elements of geometry, transl. To which are added, algebraic ...

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...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...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. Magnitudes which coincide...one another. 9. The whole is greater than its part. A. The whole is equal to all its parts taken together. ED. B. It is impossible for the same thing to...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 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. 11. All right angles are equal to one another. 12. If a right line...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...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. Magnitudes which coincide...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. " Two straight lines which intersect one another, cannot...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...described from any centre, and with any radius. AXIOMS. 1. Things which are equal to the same thing ate equal to one another. 2. If equals be added to equals,...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. Two straight lines cannot he drawn through the same...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...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. Magnitudes which coincide...another. 9. The whole is greater than its part. 10. All right angles are equal to one another. 11. " Two straight lines which intersect one another, cannot...
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