Plane Geometry Developed by the Syllabus MethodAmerican Book Company, 1909 - 192 σελίδες |
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Σελίδα 7
... conditions under which the teacher is working make it impossible . All necessary corrections can be noted by the teacher and made by the pupil , after which the theorems can be filed , and so be- come at the end of the course a complete ...
... conditions under which the teacher is working make it impossible . All necessary corrections can be noted by the teacher and made by the pupil , after which the theorems can be filed , and so be- come at the end of the course a complete ...
Σελίδα 10
... CONDITION 185 AXIOMS . 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 ...
... CONDITION 185 AXIOMS . 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 ...
Σελίδα 11
... 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 Construction Const . 84 Contact 173 Base ...
... 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 Construction Const . 84 Contact 173 Base ...
Σελίδα 15
... condition is sometimes implied rather than stated . Even the statement , " It rains , " de- pends upon the place and time . When a statement asserts that the truth of one thing assures the truth of another thing , the one upon which the ...
... condition is sometimes implied rather than stated . Even the statement , " It rains , " de- pends upon the place and time . When a statement asserts that the truth of one thing assures the truth of another thing , the one upon which the ...
Σελίδα 16
Eugene Randolph Smith. other depends is the condition ( or hypothesis ) , the other the conclusion of the statement . EXAMPLES : CONDITION If it rains to - day , CONCLUSION I will stay at home . If a triangle has two equal sides , the ...
Eugene Randolph Smith. other depends is the condition ( or hypothesis ) , the other the conclusion of the statement . EXAMPLES : CONDITION If it rains to - day , CONCLUSION I will stay at home . If a triangle has two equal sides , the ...
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.