Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Σελίδα iv
... side of the page . The constituent parts of the propo- sitions are carefully ... no case is it neces- sary to turn the paye in reading a demonstration . This ... number of theorems and to repro- duce them in an examination is a useless ...
... side of the page . The constituent parts of the propo- sitions are carefully ... no case is it neces- sary to turn the paye in reading a demonstration . This ... number of theorems and to repro- duce them in an examination is a useless ...
Σελίδα 11
... number of lines which radiate from that point , the sum of all the angles about a point in a plane , as AOB + BOC + COD , etc. , in Fig . 1 , is equal to four right angles ; and the sum of all the angles about a point on one side of a ...
... number of lines which radiate from that point , the sum of all the angles about a point in a plane , as AOB + BOC + COD , etc. , in Fig . 1 , is equal to four right angles ; and the sum of all the angles about a point on one side of a ...
Σελίδα 68
... sides of the polygon , and their sum , as A B + BC + CD , etc. , is the Perimeter of the polygon . The angles which ... number of sides of a polygon is evidently equal to the number of its angles . By drawing diagonals from any vertex of ...
... sides of the polygon , and their sum , as A B + BC + CD , etc. , is the Perimeter of the polygon . The angles which ... number of sides of a polygon is evidently equal to the number of its angles . By drawing diagonals from any vertex of ...
Σελίδα 69
... number of triangles , equal each to each , and similarly placed ; for the polygons can be applied to each other ... sides which lie between equal angles are called Homologous sides . 155. DEF . Two polygons are Mutually Equilateral , if ...
... number of triangles , equal each to each , and similarly placed ; for the polygons can be applied to each other ... sides which lie between equal angles are called Homologous sides . 155. DEF . Two polygons are Mutually Equilateral , if ...
Σελίδα 156
... number of triangles , which are similar and similarly placed . B E C D A B ' E ' CI Let the polygons ABCDE and A'B'C ... sides of similar polygons ) . ..A A E B and A ' E ' B ' are similar , ( having an of the one equal to an of the other , ...
... number of triangles , which are similar and similarly placed . B E C D A B ' E ' CI Let the polygons ABCDE and A'B'C ... sides of similar polygons ) . ..A A E B and A ' E ' B ' are similar , ( having an of the one equal to an of the other , ...
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'.