Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 σελίδες |
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Σελίδα 8
... Limits and the Incommensurable Case . In common with many of the best educators , the author believes that the proofs of these theorems are too difficult for imma- ture minds . He therefore recommends that the Appendix proofs be omitted ...
... Limits and the Incommensurable Case . In common with many of the best educators , the author believes that the proofs of these theorems are too difficult for imma- ture minds . He therefore recommends that the Appendix proofs be omitted ...
Σελίδα 10
... 185 • SYMMETRY 185 · POSITIVE AND NEGATIVE SECTS AND ANGLES . 186 DISTANCE 186 LIMITS 187 INCOMMENSURABLE CASE 189 • SIMILAR FIGURES 190 • THE EVALUATION OF PI 190 INDEX TOPIC REFERENCES AND ABBREVIATIONS TERM ABBREV . ART . 10 CONTENTS.
... 185 • SYMMETRY 185 · POSITIVE AND NEGATIVE SECTS AND ANGLES . 186 DISTANCE 186 LIMITS 187 INCOMMENSURABLE CASE 189 • SIMILAR FIGURES 190 • THE EVALUATION OF PI 190 INDEX TOPIC REFERENCES AND ABBREVIATIONS TERM ABBREV . ART . 10 CONTENTS.
Σελίδα 11
... limit ) = 318 Concyclic 218 Arc 161 Condition Cond . 2 , 85 Area 69 , 160 , 236 , 245 Conditional statements 2 Arm 44 Congruent 32-3 Axiom Ax . 14 , 23 , 27 , 38-42 , Consequents 258 68 , 82 , 119 , 321 , 343 Constant 318 Axis 344 ...
... limit ) = 318 Concyclic 218 Arc 161 Condition Cond . 2 , 85 Area 69 , 160 , 236 , 245 Conditional statements 2 Arm 44 Congruent 32-3 Axiom Ax . 14 , 23 , 27 , 38-42 , Consequents 258 68 , 82 , 119 , 321 , 343 Constant 318 Axis 344 ...
Σελίδα 12
... Limit 318 Elimination 90 Line 18 Equality ( Sect . III ) = 32-38 Linear 236 Equiangular Equiang . 74 Location 96 , 110 Escribed Equilateral Equimultiples Equivalence Evaluation of Pi Equilat . 74 Locus 146 262 Logic ( Sect . I ) 1-11 ...
... Limit 318 Elimination 90 Line 18 Equality ( Sect . III ) = 32-38 Linear 236 Equiangular Equiang . 74 Location 96 , 110 Escribed Equilateral Equimultiples Equivalence Evaluation of Pi Equilat . 74 Locus 146 262 Logic ( Sect . I ) 1-11 ...
Σελίδα 14
... limit ~ is similar to > is greater than < is less than is not less than I is parallel to I is perpendicular to Z or angle △ triangle ᄆ parallelogram rectangle square O circle arc . therefore is not greater than because , since The ...
... limit ~ is similar to > is greater than < is less than is not less than I is parallel to I is perpendicular to Z or angle △ triangle ᄆ parallelogram rectangle square O circle arc . therefore is not greater than because , since The ...
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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.