Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 σελίδες |
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Σελίδα 7
... taken . Logic . Make frequent use of the section on Logic . Ask the pupils to state the converse and the contraposite of very many of the theorems , and to discover whether these are new theorems . In this way the proofs of SUGGESTIONS ...
... taken . Logic . Make frequent use of the section on Logic . Ask the pupils to state the converse and the contraposite of very many of the theorems , and to discover whether these are new theorems . In this way the proofs of SUGGESTIONS ...
Σελίδα 18
... taken , in order that no error can creep in . EXERCISES . Suppose that if A is true , B is also true ; what other statement regarding A and B is known to follow ? Write five true statements , then see if their contraposites are also ...
... taken , in order that no error can creep in . EXERCISES . Suppose that if A is true , B is also true ; what other statement regarding A and B is known to follow ? Write five true statements , then see if their contraposites are also ...
Σελίδα 19
Eugene Randolph Smith. taken up in § 10. The following examples will show that they are not always true : " An apple tree has leaves . " It does not follow that ( 1 ) If it is not an apple tree , it has not leaves . ( 2 ) If it has ...
Eugene Randolph Smith. taken up in § 10. The following examples will show that they are not always true : " An apple tree has leaves . " It does not follow that ( 1 ) If it is not an apple tree , it has not leaves . ( 2 ) If it has ...
Σελίδα 22
... taken as one of the foundation facts of a subject is called an axiom . It is often defined as a truth so simple that it cannot be de- rived from truths still simpler ; but for Elementary Geometry this is not strictly true ( Appendix ...
... taken as one of the foundation facts of a subject is called an axiom . It is often defined as a truth so simple that it cannot be de- rived from truths still simpler ; but for Elementary Geometry this is not strictly true ( Appendix ...
Σελίδα 24
... taken in reverse order ; that is , starting with the point . A moving point passes through ( or describes ) a line ; a moving line usually describes a surface ; a moving surface usually describes a solid . It can be seen that it might ...
... taken in reverse order ; that is , starting with the point . A moving point passes through ( or describes ) a line ; a moving line usually describes a surface ; a moving surface usually describes a solid . It can be seen that it might ...
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.