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" They declare that points, straight lines or circles, such as the problem requires to be constructed, are possible under all conditions, or they determine any exceptions that there may be. "
Popular Astronomy - Σελίδα 276
1900
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Mind, Τόμος 1

1876 - 600 σελίδες
...such a line. It is notorious that problems of construction play an essential part in the system of geometry. At first sight, these appear to be practical...or they determine any exceptions that there may be. The point on which the investigations turn that we are going to consider is essentially of this nature....

Van Nostrand's Engineering Magazine, Τόμος 15

1876 - 612 σελίδες
...such a line. It is notorious that problems of construction play an essential part in the system of geometry. At first sight, these appear to be practical...or they determine any exceptions that there may be. The point on which the investigations turn that we are going to consider is essentially of this nature....

Mind: A Quarterly Review of Psychology and Philosophy

1876 - 598 σελίδες
...such a line. It is notorious that problems of construction play an essential part in the system of geometry. At first sight, these appear to be practical...or they determine any exceptions that there may be. The point on which the investigations turn that we are going to consider is essentially of this nature....

Popular Lectures on Scientific Subjects, Τόμος 2

Hermann von Helmholtz - 1903 - 312 σελίδες
...the training of learners; but in reality they establish the existence of definite figures. They show that points, straight lines, or circles such as the...or they determine any exceptions that there may be. The point on which the investigations turn, that we are about to consider, is essentially of this nature....

Educational Review, Τόμος 6

Nicholas Murray Butler, Frank Pierrepont Graves, William McAndrew - 1893 - 554 σελίδες
...such a line. It Is notorious that problems of construction play an essential part in the system of geometry. At first sight these appear to be practical...be." Euclid's first three propositions are problems. Wentworth, in his new geometry, puts Euclid's postulates on p. 15, he does not know exactly why, and...

Educational Review, Τόμος 6

1893 - 562 σελίδες
...such a line. It is notorious that problems of construction play an essential part in the system of geometry. At first sight these appear to be practical...be." Euclid's first three propositions are problems. Wentworth, in his new geometry, puts Euclid's postulates on p. 15, he does not know exactly why, and...

Science and Culture: Popular and Philosophical Essays

Hermann von Helmholtz - 1995 - 446 σελίδες
...such a line. It is well known that problems of construction play an essential part in the system of geometry. At first sight, these appear to be practical...for the training of learners; but in reality they establish the existence of definite figures. They show that points, straight lines, or circles such...
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Philosophy of Science: The Historical Background

Joseph J. Kockelmans - 516 σελίδες
...such a line. It is well known that problems of construction play an essential part in the system of geometry. At first sight, these appear to be practical...for the training of learners; but in reality they establish the existence of definite figures. They show that points, straight lines, or circles such...
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