Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 3
... possible , worked out by the pupils , either in class discussions or individually , is becoming more widespread every year . The day of memorizing proofs will soon be past , and the most efficient method for mental training along ...
... possible , worked out by the pupils , either in class discussions or individually , is becoming more widespread every year . The day of memorizing proofs will soon be past , and the most efficient method for mental training along ...
Σελίδα 4
... great a degree as seems possible without unnecessarily complicating the subject , there has been no attempt to draw a hard and fast line of demarcation If a teacher between Geometry and its applications . believes 4 PREFACE.
... great a degree as seems possible without unnecessarily complicating the subject , there has been no attempt to draw a hard and fast line of demarcation If a teacher between Geometry and its applications . believes 4 PREFACE.
Σελίδα 6
... possible , let the pupils frame the definitions for themselves , and lead up naturally to the simple deductions from them ( starred in the text ) , so that the pupils can begin to discover these truths from the very beginning . Every ...
... possible , let the pupils frame the definitions for themselves , and lead up naturally to the simple deductions from them ( starred in the text ) , so that the pupils can begin to discover these truths from the very beginning . Every ...
Σελίδα 16
... possible truths be " it rains , " and " the sidewalk is wet " ; then the following related statements might be made ( with no consideration at present as to whether they are true statements or not ) : ( 1 ) If it rains , the sidewalk ...
... possible truths be " it rains , " and " the sidewalk is wet " ; then the following related statements might be made ( with no consideration at present as to whether they are true statements or not ) : ( 1 ) If it rains , the sidewalk ...
Σελίδα 20
... possible , and when that does not seem possible , the proof should be worked for each of the different cases separately . For example , in working with triangles , the triangle used should always be one about which no assumption ( other ...
... possible , and when that does not seem possible , the proof should be worked for each of the different cases separately . For example , in working with triangles , the triangle used should always be one about which no assumption ( other ...
Άλλες εκδόσεις - Προβολή όλων
Plane Geometry Developed by the Syllabus Method Eugene Randolph Smith Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2013 |
Συχνά εμφανιζόμενοι όροι και φράσεις
altitude angles are equal angles equal angles formed apothem arms base angles bisects called center line center sect central angles chord circum circumcenters CONST Construct a triangle contraposite diagonal diameter difference distance divided drawn equal angles equal sides equals the sum equiangular equiangular polygon equilateral triangle exterior figure Find the area Find the length Find the locus formula Geometry given angle given circle given line given point given ratio given sect given square given triangle greater hexagon hypotenuse included angle inscribed angle interior angles intersection isosceles triangle line joining median method number of sides opposite angles opposite sides pair parallelogram perigon perimeter perpendicular bisector points equidistant proof prove pupils quadrilateral radii radius regular inscribed regular polygon rhombus right angle right triangle secant sides equal statement straight angle straight line surface tangent Theorem third side transverse trapezoid triangle ABC twice unequal vertex angle vertices
Δημοφιλή αποσπάσματα
Σελίδα 48 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the two triangles are equal in all respects.
Σελίδα 70 - Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Σελίδα 73 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Σελίδα 172 - A line from the vertex of an isosceles triangle to any point in the base is smaller than the arms.
Σελίδα 49 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Σελίδα 102 - In the same circle, or in equal circles, if two arcs are equal, their central angles are equal; and conversely.
Σελίδα 41 - In a right triangle, the side opposite the right angle is called the hypotenuse and is the longest side.
Σελίδα 161 - If the number of sides of a regular polygon inscribed in a circle be increased indefinitely, the apothem of the polygon will approach the radius of the circle as its limit.
Σελίδα 94 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 181 - The triangle formed by joining the middle point of one of the non-parallel sides of a trapezoid to the extremities of the opposite side is equivalent to one-half the trapezoid.