Plane and Solid GeometryAmerican Book Company, 1899 - 384 σελίδες |
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Αποτελέσματα 1 - 5 από τα 41.
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 , even 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 , even 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 re- quired so that it may simply appear to the eye to be accurate . Geometrical 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 re- quired so that it may simply appear to the eye to be accurate . Geometrical methods of construction are given at suitable points in the book , but they cannot be ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angles altitude angle formed angles are equal angles compare apothem arc intercepted base bisector bisects called central angle chord circle whose center circumference circumscribed compare in length Construct a triangle cylinder Data diagonals diameter dihedral angles distance divided equal circles equidistant equilateral triangle equivalent exterior angle extremities FGHJK Find the locus frustum given line given point given straight line Hence homologous sides hypotenuse inscribed angle intersecting isosceles trapezoid isosceles triangle measured by arc middle point number of sides opposite sides parallel lines parallelogram parallelopiped pass perimeter perpendicular plane polyhedron prism produced Proof prove pyramid Q.E.D. Proposition quadrilateral radii radius ratio rect rectangle formed regular polygon respectively rhombus right angle right triangle secant segments sphere spherical triangle subtended surface tangent Theorem transversal trapezoid triangle ABC triangles are equal trihedral vertex vertical angle volume
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 47 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
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 33 - If two parallel lines are cut by a third straight line, the sum of the two interior angles on the same side of the secant line is equal to two right angles.
Σελίδα 219 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 217 - The. sum of the angles of any polygon is equal to twice as many right angles as the polygon has sides, less four right angles.
Σελίδα 136 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Σελίδα 90 - In the same circle, or in equal circles, equal chords are equally distant from the center; and, conversely, chords equally distant from the center are equal.
Σελίδα 374 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 176 - The area of a rectangle is equal to the product of its base and altitude. Given R a rectangle with base b and altitude a. To prove R = a X b. Proof. Let U be the unit of surface. .R axb U' Then 1x1 But - is the area of R.