The Texas Mathematics Teachers' Bulletin, Bände 1-7The University, 1915 |
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Seite 6
... Length being defined in terms of a piece of a straight line , a circle , strictly speaking , has no length . A circle fits no part of a straight line and a straight line fits no part of a circle . * See supplement to this article . That ...
... Length being defined in terms of a piece of a straight line , a circle , strictly speaking , has no length . A circle fits no part of a straight line and a straight line fits no part of a circle . * See supplement to this article . That ...
Seite 8
... length ( numerical ) of the circle . Assumptions . ( 1 ) The length of a circle is greater than the perimeter of an inscribed polygon and less than that of a cir- cumscribed polygon . ( 2 ) The area of a circle is greater than the area ...
... length ( numerical ) of the circle . Assumptions . ( 1 ) The length of a circle is greater than the perimeter of an inscribed polygon and less than that of a cir- cumscribed polygon . ( 2 ) The area of a circle is greater than the area ...
Seite 9
... lengths ( numerical ) of its sides . Dealing with a rectangle of sides a and b , where the unit of length is u , we can write pusa ( p + 1 ) u qu≤b ( q + 1 ) u pq [ u ] sab ( pq + p + q + 1 ) [ u2 ] S being the numerical measure of the ...
... lengths ( numerical ) of its sides . Dealing with a rectangle of sides a and b , where the unit of length is u , we can write pusa ( p + 1 ) u qu≤b ( q + 1 ) u pq [ u ] sab ( pq + p + q + 1 ) [ u2 ] S being the numerical measure of the ...
Seite 11
... length of an edge , the measure- ment being subject to an error of about one part in a thousand ? Again , to compare observational approximations with mathe- matical approximations , let him , for example , get the square root of 4.73 ...
... length of an edge , the measure- ment being subject to an error of about one part in a thousand ? Again , to compare observational approximations with mathe- matical approximations , let him , for example , get the square root of 4.73 ...
Seite 13
... Lengths , Areas , Volumes . In the light of what has just been said concerning approxima tions and of the algebraic illustration just given , we can now dis cuss satisfactorily such geometric terms as length , area , volume . Shall such ...
... Lengths , Areas , Volumes . In the light of what has just been said concerning approxima tions and of the algebraic illustration just given , we can now dis cuss satisfactorily such geometric terms as length , area , volume . Shall such ...
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algebra analytic geometry angle arithmetic Bulletin circle College Committee construction courses in mathematics deductive reasoning definition ematics equal Euclid example expression fact factoring figures formula fractions function give given grades H. J. ETTLINGER idea incommensurable integers interest intuition J. W. CALHOUN J. W. Young length letters limit logarithms logical mathe mathematicians mathematics club mathematics in Texas matics means measure ment method metic mind Pentagram Plane Geometry polynomial POSTOFFICE AT AUSTIN problems Professor progressive mathematical proof prove pupil Pure Mathematics Pythagorean Theorem quadratic equation quantities question ratio reason regular polygon relation result roots sides simple slide rule Solid Geometry solution solve square statement STRAIGHT EDGE straight line student taught teachers of mathematics teaching Texas Mathematics Teachers theorem theory things tion topics Trigonometry University of Texas UNIVERSITY SIX variable write
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Seite 26 - ... thought out in the limited time of the examination. It should be a test of the candidate's grasp and insight — not a catch question or a question of unfamiliar character making extraordinary demands on the critical powers of the candidate, or one the solution of which depends on an inspiration. Above all, this question should lie near to the heart of the subject as all well-prepared candidates understand the subject. As a rule, a question should consist of a single part and be framed to test...
Seite 23 - Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.
Seite 31 - That, if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Seite 2 - Research, and other bulletins of general educational interest. With the exception of special numbers, any bulletin will be sent to a citizen of Texas free on request. All communications about University publications should be addressed to the Editor of University Publications, University of Texas, Austin.
Seite 9 - Two triangles are congruent if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other.
Seite 36 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Seite 49 - He studied (since music has charms for the fair) The theory of fiddles and whistles, — Then composed by acoustic equations, an air, Which, when 'twas performed, made the lady's long hair Stand on end, like a porcupine's bristles.