The Teaching of GeometryGinn, 1911 - 339 sider |
Inni boken
Resultat 1-5 av 64
Side 31
... line , and how to make an angle equal to a given angle . A few years later ... straight- edge and the compasses , and when we say that it is impossible to ... straightedge , • which took from this domain the possibility of construct- A ...
... line , and how to make an angle equal to a given angle . A few years later ... straight- edge and the compasses , and when we say that it is impossible to ... straightedge , • which took from this domain the possibility of construct- A ...
Side 54
... straight line equal to a given straight line , and cutting off from the greater of two straight lines a line equal to the less . He now introduces a theorem , which might equally well have been his first proposition , namely , the case ...
... straight line equal to a given straight line , and cutting off from the greater of two straight lines a line equal to the less . He now introduces a theorem , which might equally well have been his first proposition , namely , the case ...
Side 55
... straight lines , and one of them be cut into any number of segments whatever , the rectangle contained by the two straight lines is equal to the rectangles contained by the uncut straight line and each of the segments . .... This ...
... straight lines , and one of them be cut into any number of segments whatever , the rectangle contained by the two straight lines is equal to the rectangles contained by the uncut straight line and each of the segments . .... This ...
Side 60
... straight line Book II . Equality of areas Book III . The circle Book IV . Ratio and proportion Book V. Proportion Total for plane geometry 51 19 42 32 24 168 Here , then , is the result of several years 60 THE TEACHING OF GEOMETRY.
... straight line Book II . Equality of areas Book III . The circle Book IV . Ratio and proportion Book V. Proportion Total for plane geometry 51 19 42 32 24 168 Here , then , is the result of several years 60 THE TEACHING OF GEOMETRY.
Side 99
... straight line . B A 3. To test a perpendicular or to draw one line perpendicular to another in a field , we may take a stout cord twelve feet long , having a knot at the end of every foot . If this is laid along four feet , the ends of ...
... straight line . B A 3. To test a perpendicular or to draw one line perpendicular to another in a field , we may take a stout cord twelve feet long , having a knot at the end of every foot . If this is laid along four feet , the ends of ...
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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...