Plane Geometry by the Suggestive MethodB.H. Sanborn, 1903 - 122 σελίδες |
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Σελίδα
... Proportion · Proportional Lines and Similar Figures Book IV . Areas and Ratios of Polygons PAGE 1 3 4 4 5 46 47 67 69 · 84 • · 95 · 109 · 111 BOOK V. Regular Polygons and the Circle INDEX TO PROBLEMS OF CONSTRUCTION SYLLABUS OF THEOREMS ...
... Proportion · Proportional Lines and Similar Figures Book IV . Areas and Ratios of Polygons PAGE 1 3 4 4 5 46 47 67 69 · 84 • · 95 · 109 · 111 BOOK V. Regular Polygons and the Circle INDEX TO PROBLEMS OF CONSTRUCTION SYLLABUS OF THEOREMS ...
Σελίδα 58
... proportion is the equality of two ratios . 128. Two quantities are commensurable when they have a common measure ; that is , when a third quantity can be found which will be contained an integral number of times in each . 129. Two ...
... proportion is the equality of two ratios . 128. Two quantities are commensurable when they have a common measure ; that is , when a third quantity can be found which will be contained an integral number of times in each . 129. Two ...
Σελίδα 66
... locus of the middle points of equal chords of a given circle . 94. Find the locus of the centre of a circle tangent to two parallel lines . BOOK III PROPORTIONAL LINES AND SIMILAR FIGURES THEORY OF PROPORTION 66 PLANE GEOMETRY , BOOK II.
... locus of the middle points of equal chords of a given circle . 94. Find the locus of the centre of a circle tangent to two parallel lines . BOOK III PROPORTIONAL LINES AND SIMILAR FIGURES THEORY OF PROPORTION 66 PLANE GEOMETRY , BOOK II.
Σελίδα 67
... proportion by inversion . If abcd , then b : ad : c . SUG . Divide 1 by each ratio or apply Props . I and II . 67 148. Prop . V. If four quantities are in proportion Theory of Proportion Proportional Lines and Similar Figures.
... proportion by inversion . If abcd , then b : ad : c . SUG . Divide 1 by each ratio or apply Props . I and II . 67 148. Prop . V. If four quantities are in proportion Theory of Proportion Proportional Lines and Similar Figures.
Σελίδα 68
... proportion by alternation . If a : bc : d , then a : cb : d . SUG . Multiply each ratio by b 149. Prop . VI . If four quantities are in proportion , they are in proportion by composition . If a : bc : d , then a + b : b = c + d : d or a ...
... proportion by alternation . If a : bc : d , then a : cb : d . SUG . Multiply each ratio by b 149. Prop . VI . If four quantities are in proportion , they are in proportion by composition . If a : bc : d , then a + b : b = c + d : d or a ...
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.