 Lines drawn upon paper or upon the blackboard are not geometrical lines, since they have breadth and thickness. They represent geometrical lines. 25. A straight line is the shortest distance from one point to another point. 26. A curved line changes its...  The Werner Arithmetic: Oral and Written - Σελίδα 19των Frank H. Hall - 1898 - 290 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | 1854 - 624 σελίδες
...re-edit Euclid's Elements, on the first page we should learn that it is quite a mistake to suppose that a straight line is the shortest distance from one point to another. This trick he repeats over and over again, ^with innumerable variations. In fact, if his speeches are... | |
 | Simon Kerl - 1865 - 182 σελίδες
...he." " It is mean to take advantage of another's distress." What is mean ? "It is perfectly plain that a straight line is the shortest distance from one point to another." What is plain ? RELATIVE PBONOUNS. 163. The chief relative pronouns are, — Who ; applied to persons.... | |
 | Edward Brooks - 1868 - 284 σελίδες
...all its parts. SECOND CLASS. 9. Only one straight line can be drawn connecting two given points. 10. A straight line is the shortest distance from one point to another. 11. All right angles are equal to each other. 12. Parallel straight lines cannot meet each other when... | |
 | 1872 - 420 σελίδες
...to each other, and let him work out easy propositions: — beginning, perhaps, with the axiom that a straight line is the shortest distance from one point to another. He looks up doubtfully. I give him a corner of the blackboard, and allow remarks more particularly... | |
 | Aaron Schuyler - 1876 - 384 σελίδες
...principle be inferred (23, 20), but also Mr. Bain's so-called proper axioms (23, 3, 6). The proposition, " A straight line is the shortest distance from one point to another," has, by some mathematicians, been given as a definition ; by others, as an axiom. This discrepancy... | |
 | Edward Brooks - 1876 - 584 σελίδες
...geometry. In geometry we have some axioms which do not apply to numbers, as "All right angles are equal," "A straight line is the shortest distance from one point to another," etc. There are also axioms which are peculiar to arithmetic, and which have no place in geometry. Thus,... | |
 | Franklin Ibach - 1882 - 208 σελίδες
...8. The whole is greater than any of its parts. 10. Only one straight line can join two points. 11. A straight line is the shortest distance from one point to another. 12. All right angles are equal. 4O. POSTULATES. 1. A straight line can be drawn joining any two points.... | |
 | Frank H. Hall - 1898 - 298 σελίδες
...* This means, 3 times the sum of a and b. t This means, the sum of a and b, divided by c. Geometry. 24. A geometrical line has length, but neither breadth...EF is a — . 4. The line FG is a — . 5. The line EK is a . 6. The perimeter* of a square is a — — line made up of equal lines. ' 7. The perimeter... | |
 | Frank H. Hall - 1898 - 332 σελίδες
...? * = ? • This means, 3 times the sum of a and b. ' This means, the sum of a and b, divided by c. 24. A geometrical line has length, but neither breadth...The line AB is a . 2. The line CD is a . 3. The line £Fis a . 4. The line FG is a — . 5. The line EK is a — . 6. The perimeter* of a square is a line... | |
 | Frank H. Hall - 1898 - 326 σελίδες
...sum of a and b. 24. A geometrical line has length, but neither breadth nor thickness. NOTE.—Lines drawn upon paper or upon the blackboard are not geometrical...The line AB is a . 2. The line CD is a . 3. The line £Fis a . 4. The line FG is a . 5. The line .fi'A'is a . 6. The perimeter* of a square is a — —... | |
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