The Teaching of GeometryGinn, 1911 - 339 sider |
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... ancient teaching and the ancient geometry . It may be prepared for the purpose of setting forth the work as it now is , or with the tempting but dangerous idea of prophecy . It may appeal to the iconoclast by its spirit of destruc- tion ...
... ancient teaching and the ancient geometry . It may be prepared for the purpose of setting forth the work as it now is , or with the tempting but dangerous idea of prophecy . It may appeal to the iconoclast by its spirit of destruc- tion ...
Side 16
... ancient body of learning that has occupied the attention of master minds during the thousands of years in which it has been perfected , and we are uplifted by it . To deny that our pupils derive this pleasure from the study is to ...
... ancient body of learning that has occupied the attention of master minds during the thousands of years in which it has been perfected , and we are uplifted by it . To deny that our pupils derive this pleasure from the study is to ...
Side 19
... ancient letters with full appreciation of the dignity of style and the nobility of thought that they contain ? And what teacher of French succeeds in bringing a pupil to carry on a conversation , to read a French magazine , to see the ...
... ancient letters with full appreciation of the dignity of style and the nobility of thought that they contain ? And what teacher of French succeeds in bringing a pupil to carry on a conversation , to read a French magazine , to see the ...
Side 22
... ancient and noble science to the mind confided to our instruction . The shortsightedness of a narrow education , of an education that teaches only machines to a prospective mechanic , and agriculture to a prospective farmer , and ...
... ancient and noble science to the mind confided to our instruction . The shortsightedness of a narrow education , of an education that teaches only machines to a prospective mechanic , and agriculture to a prospective farmer , and ...
Side 26
David Eugene Smith. CHAPTER III A BRIEF HISTORY OF GEOMETRY The geometry of very ancient peoples was largely the mensuration of simple areas and solids , such as is taught to children in elementary arithmetic to - day . They early ...
David Eugene Smith. CHAPTER III A BRIEF HISTORY OF GEOMETRY The geometry of very ancient peoples was largely the mensuration of simple areas and solids , such as is taught to children in elementary arithmetic to - day . They early ...
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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...