Plane GeometryAmerican Book Company, 1899 - 242 σελίδες |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 3
... students have failed to find either pleasure or profit in studying it . The most serious hindrance to the proper understanding of the subject has been the failure on the part of the student to grasp the geometrical concept which he has ...
... students have failed to find either pleasure or profit in studying it . The most serious hindrance to the proper understanding of the subject has been the failure on the part of the student to grasp the geometrical concept which he has ...
Σελίδα 4
... student to infer the truth involved in the relations given . The interrogative form is employed for the purpose of compelling the student to obtain the ideas for himself , and the answers he must give to the questions furnish an ...
... student to infer the truth involved in the relations given . The interrogative form is employed for the purpose of compelling the student to obtain the ideas for himself , and the answers he must give to the questions furnish an ...
Σελίδα 5
... students . 2. Before the assignment of any lesson , the teacher should require the students to draw the figures and answer the questions which are intro- ductory to the propositions that are to be proved at the next lesson . After the ...
... students . 2. Before the assignment of any lesson , the teacher should require the students to draw the figures and answer the questions which are intro- ductory to the propositions that are to be proved at the next lesson . After the ...
Σελίδα 6
... students will not be likely to commit to memory the words of the book . 8. Encourage students to prove propositions in their own way , ever though the proofs be less elegant than those which are given . Elegant methods will be acquired ...
... students will not be likely to commit to memory the words of the book . 8. Encourage students to prove propositions in their own way , ever though the proofs be less elegant than those which are given . Elegant methods will be acquired ...
Σελίδα 16
... student is asked to represent by a drawing any figure that may be required so that it may simply appear to the eye to be accurate . Geometri- cal methods of construction are given at suitable points in the book , but they cannot be ...
... student is asked to represent by a drawing any figure that may be required so that it may simply appear to the eye to be accurate . Geometri- cal methods of construction are given at suitable points in the book , but they cannot be ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AABC AB² ABCD AC² adjacent angles angle formed angles are equal apothem arc intercepted base and altitude BC² bisector bisects CD² central angle chord circle whose center circumference circumscribing circle compare in length Construct a square Construct a triangle Data diagonals diameter divided equal circles equidistant equilateral triangle exterior extremities FGHJK given line given parallelogram given point given triangle Hence homologous sides hypotenuse inscribed angle interior angles intersecting isosceles trapezoid isosceles triangle line drawn measured by arc meet middle point MILNE'S number of sides opposite sides parallel lines perimeter perpendicular produced proportion prove Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular inscribed regular polygon rhombus right angle right triangle secant similar polygons similar triangles square equivalent subtended tangent Theorem third side transversal trapezoid triangle ABC triangle equivalent triangle is equal vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Σελίδα 105 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 46 - Any exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 74 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the transversal is equal to two right angles, (p.
Σελίδα 64 - From 56 and 57 the pupils should learn that two triangles are equal in every respect (a) when two sides and the included angle of one are equal to two sides and the included angle of the other...
Σελίδα 53 - If two angles of a triangle are unequal, the sides opposite are unequal, and the greater side is opposite the greater angle.
Σελίδα 61 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Σελίδα 126 - DE and on the same side of it ; but equal triangles on the same base, and on the same side of it, are between the same parallels ; [I.
Σελίδα 90 - Theorem. In the same circle, or in equal circles, equal chords are equally distant from the center; conversely, chords equally distant from the center are equal.
Σελίδα 149 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.