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" Things which are double of the same thing, are equal to each other. 7. Things which are halves of the same thing, are equal to each other. 8. The whole is greater than any of its parts. 9. The whole is equal to the sum of all its parts. 10. All right... "
Euclid simplified. Compiled from the most important French works, approved ... - Page 1
by John Reynell Morell - 1875 - 16 pages
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...its parts. 10. A straight line is the shortest line that can be drawn from one point to another. 11. From one point to another only one straight line can be drawn. 12. Through the same point only one parallel to a straight line can be drawn. 18. All right angles...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...its parts. 10. A straight line is the shortest line that can be drawn from one point to another. 11. From one point to another only one straight line can be drawn. 12. Through the same point only one parallel to a straight line can be drawn. 13. All right angles...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...Doubles of the same thing are equal to each other. 9. Halves of equal things are equal to each other. 10. From one point to another only one straight line can be drawn ; and that is the shortest line between them. 11. Two magnitudes are equal if, when one is applied to the other,...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...its parts. 10. A straight line is the shortest line that can be drawn from one point to another. 11. From one point to another only one straight line can be drawn. 13. All right angles are equal to one another. 14. Magnitudes which coincide throughout their whole...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...all in the same direction, between its extremities, and is the shortest distance between two points. From one point to another only one straight line can be drawn. When a Line is mentioned simply, it means a Right Line. 7. A Curve continually changes its direction...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...its parts. 10. A straight line is the shortest line that can be drawn from one point to another. 11. From one point to another only one straight line can be drawn. 12. Through the same point only one parallel to a straight line can be drawn. 13. All right angles...
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Marks' First Lessons in Geometry: Objectively Presented

Bernhard Marks - Geometry - 1869 - 172 pages
...remainders will be equal. AXIOM 7. AXIOM 8. Every itfiole is equal to the sum of all its parts. AXIOM 9. From one point to another only one straight line can be drawn. • AXIOM 10. A straight Une is the shortest distance between tivo points. AXIOM 11. If two things...
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Marks' First Lessons in Geometry: In Two Parts : Objectively Presented and ...

Bernard Marks - Geometry - 1871 - 172 pages
...equal, the wholes will be equal. AXIOM 8. Every whole is equal to the sum of all its parts. AXIOM 9. From one point to another only one straight line can be drawn. AXIOM 10. A straight line is the shortest distance between two points. AXIOM 11. If two things coincide...
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First Lessons in Geometry: In Two Parts

B. Marks - 1875 - 176 pages
...remainders will be equal. AXIOM 7. AXIOM 8. Every whole is equal to the sum, of all Us parts. AXIOM 9. From one point to another only one straight line can be drawn. AXIOM 10. A straight line is the shortest distance between two points. AXIOM 11. If two things coincide...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...are united to equal triangles, the resulting figures will admit of coincidence hy superposition. 11. From one point to another only one straight line can be drawn. 12. Two straight lines which intersect one another can not both be parallel to the same straight line....
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