Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 19.
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 ...
... 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 ...
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 D E 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 D E is equal to E F , and also to FC . 13 ...
Σελίδα 126
... perimeter of the triangle ABC is constant , and equal to AM + AN , or 2 A M. Also show that the angle BO C 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 + AN , or 2 A M. Also show that the angle BO C 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 B ' E CI D ' Let the two similar polygons be ABC DE and A'B'C'D'E ' , and let P and P ' represent their perimeters . We are to prove P : P : A B ...
... perimeters of two similar polygons have the same ratio as any two homologous sides . B E C B ' E CI D ' Let the two similar polygons be ABC DE and A'B'C'D'E ' , and let P and P ' represent their perimeters . We are to prove P : P : A B ...
Σελίδα 159
... perimeters . Denote the perimeter of the first by P , and that ́of the second by P ' . Then P A B = P ' A ' B ' ' " $ 295 ( the perimeters of two similar polygons have the same ratio as any two homologous sides ) . But BO A B ; B'O ' A ...
... perimeters . Denote the perimeter of the first by P , and that ́of the second by P ' . Then P A B = P ' A ' B ' ' " $ 295 ( the perimeters of two similar polygons have the same ratio as any two homologous sides ) . But BO A B ; B'O ' A ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C D AABC AACB AB² ABCD adjacent angles apothem arc A B base and altitude BC² centre centre of symmetry circumference circumscribed construct a square COROLLARY decagon 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 homologous sides hypotenuse intersecting 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 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 126 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 136 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 207 - Construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon.
Σελίδα 202 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 142 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 175 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 72 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector, but within the angle, is unequally distant from the sides of the angle.
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 146 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.