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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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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...unequals the wholes are unequal. 5. If equals be taken from unequals the remainders are unequal. G. Things which are double of the same are equal to one...cannot inclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior angles...
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Euclid, book i., propositions i. to xxvi., with exercises and alternative ...

Euclides - 1877 - 58 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...cannot inclose a space. 11. All right angles are equal to one another. 1 2. If a straight line meet two straight lines so as to make the two interior angles...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 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...greater than its part. 10. Two straight lines cannot enclose a space. 1t. All right angles are equal to one another. 12. If a straight line meet two straight...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...are double of the same thing are equal to one another. (7) Things that are halves of the same thing are equal to one another. (8) Magnitudes which coincide...greater than its part. (10) Two straight lines cannot enclose a space, (n) All right angles are equal to one another. (12) If a straight line meets two straight...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...are halves of the same thing 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. All right angles are equal to one another. 11. Two straight lines which intersect each other cannot...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 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...greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. eJtV 12. If a straight line meet two...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...equal to one another. 8. Magnitudes which coincide with one another — that is, which fill exactly the same space — are equal to one another. 9. The...greater than its part. 10. Two straight lines cannot enclose space. 11. All right angles are equal to one another. 12. If a straight line meets two straight...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...given by Euclid, but assumed by him). Lines and angles which are equal to one another, coincide with one another. 9. The whole is greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to each other. 12. If a straight line meet two straight...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...are double of the same thing are equal to one another. 7. Things which are halves of the same tiling are equal to one another. 8. Magnitudes which coincide...greater than its part. 10. Two straight lines cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...Magnitudes which coincide with one another, that is, which exactly occupy the same space or position, are equal to one 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. The 8th axiom is often expressed thus...
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