Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 13
... be terminated at any point . 3. That the circumference of a circle can be described about any centre , at any distance from that centre . 48. SYMBOLS AND ABBREVIATIONS . ON PERPENDICULAR AND OBLIQUE LINES DEFINITIONS . 13.
... be terminated at any point . 3. That the circumference of a circle can be described about any centre , at any distance from that centre . 48. SYMBOLS AND ABBREVIATIONS . ON PERPENDICULAR AND OBLIQUE LINES DEFINITIONS . 13.
Σελίδα 73
... circumference is an arc equal to one half the circumference , as A M B , Fig . 2 . 166. DEF . A Chord of a circle is any straight line having its extremities in the circumference , as A B , Fig . 3 . Every chord subtends two arcs whose ...
... circumference is an arc equal to one half the circumference , as A M B , Fig . 2 . 166. DEF . A Chord of a circle is any straight line having its extremities in the circumference , as A B , Fig . 3 . Every chord subtends two arcs whose ...
Σελίδα 74
... circumference but does not intersect it , however far produced . The point in which the tangent touches the circumference is called the Point of Contact , or Point of Tangency . 171. DEF . Two Circumferences are tangent to each other ...
... circumference but does not intersect it , however far produced . The point in which the tangent touches the circumference is called the Point of Contact , or Point of Tangency . 171. DEF . Two Circumferences are tangent to each other ...
Σελίδα 75
... circumference . For if we fold over the segment A M B on A B as an axis until it comes into the plane of AP B , the arc AMB will coincide with the arc APB ; because every point in each is equally dis- tant from the centre 0 . M P B ...
... circumference . For if we fold over the segment A M B on A B as an axis until it comes into the plane of AP B , the arc AMB will coincide with the arc APB ; because every point in each is equally dis- tant from the centre 0 . M P B ...
Σελίδα 76
... circumference of a circle in more than two points . M A H K Let HK be any line cutting the circumference A M P. We are to prove that HK can intersect the circumference in only two points . If it be possible , let HK intersect the ...
... circumference of a circle in more than two points . M A H K Let HK be any line cutting the circumference A M P. We are to prove that HK can intersect the circumference in only two points . If it be possible , let HK intersect the ...
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'.