Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 σελίδες |
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Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 42
... unequal in the same sense . ( That is , the greater quantity remains greater after the operation is performed . ) ( 2 ) If unequals are taken from , or divided into equals , the results are equal in the opposite sense . ( 3 ) If ...
... unequal in the same sense . ( That is , the greater quantity remains greater after the operation is performed . ) ( 2 ) If unequals are taken from , or divided into equals , the results are equal in the opposite sense . ( 3 ) If ...
Σελίδα 44
... unequal , still others prove tri- angles congruent , etc. It is evident that any theorem of a certain class must depend upon something which will prove the particular re- sult desired ; that is , upon something in its own class ...
... unequal , still others prove tri- angles congruent , etc. It is evident that any theorem of a certain class must depend upon something which will prove the particular re- sult desired ; that is , upon something in its own class ...
Σελίδα 45
... Unequal . The inequality axiom : after having obtained one inequality , the inequality statements can be used . It follows from this that the only way to prove two things unequal at this stage of the work is to show that one is a part ...
... Unequal . The inequality axiom : after having obtained one inequality , the inequality statements can be used . It follows from this that the only way to prove two things unequal at this stage of the work is to show that one is a part ...
Σελίδα 47
... unequal ? lines equal ? lines unequal ? lines perpendicular ? lines not perpendicular ? How can a line be determined ? a point be determined ? What order of proof can be used for a theorem ? Define each of the parts of the proof ...
... unequal ? lines equal ? lines unequal ? lines perpendicular ? lines not perpendicular ? How can a line be determined ? a point be determined ? What order of proof can be used for a theorem ? Define each of the parts of the proof ...
Σελίδα 51
... classification method shows what additional lines are needed in the figure , when the given figure does not itself include all the material necessary . ANALYSIS . ( PART I ) Class . Angles unequal TRIANGLE THEOREMS 51.
... classification method shows what additional lines are needed in the figure , when the given figure does not itself include all the material necessary . ANALYSIS . ( PART I ) Class . Angles unequal TRIANGLE THEOREMS 51.
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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.