Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 14.
Σελίδα 68
... Perimeter of the polygon . The angles which the adjacent sides make with each other are the angles of the polygon . 145. DEF . A Diagonal of a polygon is a line joining the vertices of two angles not adjacent . B B ' C A ' CI E D D FI D ...
... Perimeter of the polygon . The angles which the adjacent sides make with each other are the angles of the polygon . 145. DEF . A Diagonal of a polygon is a line joining the vertices of two angles not adjacent . B B ' C A ' CI E D D FI D ...
Σελίδα 72
... perimeter is equal to the sum of the equal sides of the triangle . 12. If from the diagonal BD of a square A B C D , BE be . cut off equal to BC , and EF be drawn perpendicular to BD , show that DE is equal to E F , and also to FC . 13 ...
... perimeter is equal to the sum of the equal sides of the triangle . 12. If from the diagonal BD of a square A B C D , BE be . cut off equal to BC , and EF be drawn perpendicular to BD , show that DE is equal to E F , and also to FC . 13 ...
Σελίδα 126
... perimeter of the triangle ABC is constant , and equal to AM + A N , or 2 AM . Also show that the angle BOC is constant . 7. AB is any chord and AC is tangent to a circle at A , CDE a line cutting the circumference in D and E and ...
... perimeter of the triangle ABC is constant , and equal to AM + A N , or 2 AM . Also show that the angle BOC is constant . 7. AB is any chord and AC is tangent to a circle at A , CDE a line cutting the circumference in D and E and ...
Σελίδα 157
... perimeters of two similar polygons have the same ratio as any two homologous sides . B E C A ' B ' E D ' Let the two similar polygons be ABCDE and A'B'C'D'E ' , and let P and P ' represent their perimeters . We are to prove P : P :: AB ...
... perimeters of two similar polygons have the same ratio as any two homologous sides . B E C A ' B ' E D ' Let the two similar polygons be ABCDE and A'B'C'D'E ' , and let P and P ' represent their perimeters . We are to prove P : P :: AB ...
Σελίδα 159
... perimeters . Denote the perimeter of the first by P , and that of the second by P ' . Then AB " P P A ' B = § 295 ( the perimeters of two similar polygons have the same ratio as any two But homologous sides ) . BO A B B'O -A ' B BO P ...
... perimeters . Denote the perimeter of the first by P , and that of the second by P ' . Then AB " P P A ' B = § 295 ( the perimeters of two similar polygons have the same ratio as any two But homologous sides ) . BO A B B'O -A ' B BO P ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB ABCD adjacent angles apothem arc A B base and altitude centre centre of symmetry chord circumscribed coincide construct a square COROLLARY decagon describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular equiangular polygon equilateral equilateral polygon exterior angles figure given circle given line given polygon given square hexagon homologous sides hypotenuse isosceles Let A B Let ABC line A B measured by arc middle point number of sides parallelogram perpendicular plane polygon ABC polygon similar PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct right angles right triangle SCHOLIUM segment semicircle similar polygons square equivalent subtend symmetrical with respect tangent THEOREM triangle ABC vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 40 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 124 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 201 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 173 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 185 - In any obtuse triangle, the square of the side opposite the obtuse angle is equal to the sum of the squares of the other...
Σελίδα 73 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 41 - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Σελίδα 140 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 113 - From A as a centre, with a radius equal to o, describe an arc ; and from B as a centre, with a radius equal to m, describe an arc intersecting the former arc at С.
Σελίδα 155 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.