Plane Geometry by the Suggestive MethodB.H. Sanborn, 1903 - 122 σελίδες |
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Σελίδα 22
... Theo . XVI . To prove that NFX SUG . = ZPGF , etc. Consult Theos . IV and XVI . Conclusion . 54. Cor . If two parallel lines are cut by a transversal , the alternate - exterior angles ... Converse of Theo . XVI . 22 PLANE GEOMETRY , BOOK I.
... Theo . XVI . To prove that NFX SUG . = ZPGF , etc. Consult Theos . IV and XVI . Conclusion . 54. Cor . If two parallel lines are cut by a transversal , the alternate - exterior angles ... Converse of Theo . XVI . 22 PLANE GEOMETRY , BOOK I.
Σελίδα 23
John Alton Avery. THEOREM XIX 57. ( Converse of Theo . XVI . ) If two straight lines are cut by a transversal , so that the alternate - interior angles are equal , the lines are ... Converse of Theo . XVII . LINES , ANGLES , AND TRIANGLES 23.
John Alton Avery. THEOREM XIX 57. ( Converse of Theo . XVI . ) If two straight lines are cut by a transversal , so that the alternate - interior angles are equal , the lines are ... Converse of Theo . XVII . LINES , ANGLES , AND TRIANGLES 23.
Σελίδα 24
John Alton Avery. THEOREM XX 58. ( Converse of Theo . XVII . ) If two straight lines are cut by a transversal so that the corresponding angles are equal , the lines are parallel . Hyp ... Converse of Theo . XVIII . 24 PLANE GEOMETRY , BOOK I.
John Alton Avery. THEOREM XX 58. ( Converse of Theo . XVII . ) If two straight lines are cut by a transversal so that the corresponding angles are equal , the lines are parallel . Hyp ... Converse of Theo . XVIII . 24 PLANE GEOMETRY , BOOK I.
Σελίδα 25
John Alton Avery. THEOREM XXI 60. ( Converse of Theo . XVIII . ) If two straight lines are cut by a transversal so that the sum of the interior angles on the same side of the transversal equals two right angles , the lines are parallel ...
John Alton Avery. THEOREM XXI 60. ( Converse of Theo . XVIII . ) If two straight lines are cut by a transversal so that the sum of the interior angles on the same side of the transversal equals two right angles , the lines are parallel ...
Σελίδα 29
... . Hyp . In the A XYZ and RST , let XLR , LZ = LT , and side XY = side RS . To prove △ XYZ = △ RST . SUG . See Theo , XXIV , Cor . 3 , Conclusion . THEOREM XXVII 75. ( Converse of Theo . VIII . LINES , ANGLES , AND TRIANGLES 29.
... . Hyp . In the A XYZ and RST , let XLR , LZ = LT , and side XY = side RS . To prove △ XYZ = △ RST . SUG . See Theo , XXIV , Cor . 3 , Conclusion . THEOREM XXVII 75. ( Converse of Theo . VIII . LINES , ANGLES , AND TRIANGLES 29.
Άλλες εκδόσεις - Προβολή όλων
Plane Geometry by the Suggestive Method (Classic Reprint) John A. Avery Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Plane Geometry by the Suggestive Method (Classic Reprint) John A. Avery Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acute angle alternate-exterior angles altitude angles are equal apothem Apply Theo Auth bisector bisects central angles chord circumference Converse of Theo Corollary diagonals diameter divided double the number draw a line drawn equal angles equal circles equal respectively equals the product equals the ratio equals two right equiangular equiangular polygon EXERCISES exterior angle follows regarding four right angles given line greater homologous hypotenuse included angle inscribed angle intercepted arc interior intersect isosceles triangle line perpendicular lines are cut lines are parallel locus mean proportional method middle point number of sides oblique lines parallel lines parallelogram perimeters Problem Prop radius rectangle regular inscribed polygon regular polygon rhombus right triangle Scholium secant similar polygons straight line tangent THEOREM IV THEOREM VIII Topics for Definition trapezoid triangle equals triangles are equal triangles are similar unequal vertex
Δημοφιλή αποσπάσματα
Σελίδα 92 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Σελίδα 115 - If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.
Σελίδα 115 - If two triangles have two sides of one equal to two sides of the other but the third side of the first greater than the thin!
Σελίδα 12 - If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent.
Σελίδα 76 - Sines that the bisector of an angle of a triangle divides the opposite side into parts proportional to the adjacent sides.
Σελίδα 73 - ... they have an angle of one equal to an angle of the other and the including sides are proportional; (c) their sides are respectively proportional.
Σελίδα 3 - If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.
Σελίδα 113 - If two straight lines in a plane meet another straight line in the plane so that the sum of the interior angles on the same side of the latter straight line is less than two right angles...
Σελίδα 77 - If two polygons are composed of the same number of triangles, similar each to each and similarly placed, the polygons are similar.
Σελίδα 80 - In a right triangle, if a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.