The Teaching of GeometryGinn, 1911 - 339 sider |
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Side
... present in America we have a fairly well - defined body of matter in geometry , and this occupies a fairly well - defined place in the curriculum . There are not wanting many earnest teachers who would change both the matter and the ...
... present in America we have a fairly well - defined body of matter in geometry , and this occupies a fairly well - defined place in the curriculum . There are not wanting many earnest teachers who would change both the matter and the ...
Side 1
... present time that the opening of the twentieth century is a period of unusual advancement in all that has to do with the school . It would be pleasant to feel that we are living in such an age , but it is doubtful if the future ...
... present time that the opening of the twentieth century is a period of unusual advancement in all that has to do with the school . It would be pleasant to feel that we are living in such an age , but it is doubtful if the future ...
Side 2
... present movement as merely a chronic effervescence , fostered by the professional educator at the expense of the ... present day in the teaching of geometry , in order that we may consider them calmly and dispassionately , and may see ...
... present movement as merely a chronic effervescence , fostered by the professional educator at the expense of the ... present day in the teaching of geometry , in order that we may consider them calmly and dispassionately , and may see ...
Side 3
... present ? 4. Shall geometry be taught by itself , or shall it be either mixed with algebra ( say a day of one subject followed by a day of the other ) or fused with it in the form of a combined mathematics ? 5. Shall a textbook be used ...
... present ? 4. Shall geometry be taught by itself , or shall it be either mixed with algebra ( say a day of one subject followed by a day of the other ) or fused with it in the form of a combined mathematics ? 5. Shall a textbook be used ...
Side 4
... present time , and to show that the questions before the teachers of geometry are neither particularly novel nor particularly serious . These questions and others of simi- lar nature are really side issues of two larger questions of far ...
... present time , and to show that the questions before the teachers of geometry are neither particularly novel nor particularly serious . These questions and others of simi- lar nature are really side issues of two larger questions of far ...
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Vanlige uttrykk og setninger
algebra altitude ancient angles are equal applications Archimedes Aristotle axioms basal base beginning bisect Book called century A.D. CHAPTER circle circumference congruent considered construction corollary cube curve cylinder define definition distance drawing easily edge educational elementary geometry etry Euclid Euclid's Elements example exercises fact figure geom given line Greek Heron of Alexandria hexagon illustration incommensurable inscribed interest intersect isosceles locus logic mathematician mathematics means measure method modern octahedron parallel parallelepiped parallelogram perpendicular plane geometry Plato polyhedrons postulate practical prism problem Proclus proof proportion proposition proved pupil pyramid Pythagoras Pythagorean Theorem question radius ratio reason regular polygons relating right angles right triangle segment sides solid geometry sphere square straight line surface syllabus tangent teacher teaching of geometry textbook Thales thing tion to-day trigonometry usually vertex vertices volume words writers
Populære avsnitt
Side 254 - Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles.
Side 182 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Side 125 - That, if a straight line falling on two straight lines make 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.
Side 143 - A circle is a plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure are equal to one another; 16 And the point is called the center of the circle.
Side 188 - If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.
Side 145 - ... 20. Of trilateral figures, an equilateral triangle is that which has its three sides equal, an isosceles triangle that which has two of its sides alone equal, and a scalene triangle that which has its three sides unequal.
Side 244 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Side 225 - Magnitudes are said to have a ratio to one another which are capable, when multiplied, of exceeding one another.
Side 142 - But when a straight line, standing on another straight line, makes the adjacent angles equal to one another, each of the angles is called a right angle, and the straight line which stands on the other is called a perpendicular to it (Def.
Side 54 - Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal...