Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 73
... Arc of a circle is any portion of the circum- ference , as A M B , Fig . 3 . 165. DEF . A Semi - circumference is an ... A B , Fig . 3 . Every chord subtends two arcs whose sum is the cir- cumference . Thus the chord A B , ( Fig . 3 ) ...
... Arc of a circle is any portion of the circum- ference , as A M B , Fig . 3 . 165. DEF . A Semi - circumference is an ... A B , Fig . 3 . Every chord subtends two arcs whose sum is the cir- cumference . Thus the chord A B , ( Fig . 3 ) ...
Σελίδα 74
... circle enclosed by an arc and its chord , as A M B , Fig . 1 . 168. DEF . A ... arc which they intercept , as A C B , Fig . 2 . 170. DEF . A Tangent is a ... A B , Fig . 1 . An angle is inscribed in a circle when its vertex is in the ...
... circle enclosed by an arc and its chord , as A M B , Fig . 1 . 168. DEF . A ... arc which they intercept , as A C B , Fig . 2 . 170. DEF . A Tangent is a ... A B , Fig . 1 . An angle is inscribed in a circle when its vertex is in the ...
Σελίδα 75
... circle and its circumference . For if we fold over the segment AMB on A B as an axis until it comes into the plane of AP B , the arc A MB will coincide with the arc A PB ; because every point in each is equally dis- tant from the centre ...
... circle and its circumference . For if we fold over the segment AMB on A B as an axis until it comes into the plane of AP B , the arc A MB will coincide with the arc A PB ; because every point in each is equally dis- tant from the centre ...
Σελίδα 81
... arc subtended by it . B M S Let A B be the chord , and let the radius CS be per- pendicular to AB at the point M. We are to prove A M = BM , and arc A S = arc B S. .. Draw CA and C B. CA - C B , ( being radii of the same O ) ; ..A ACB ...
... arc subtended by it . B M S Let A B be the chord , and let the radius CS be per- pendicular to AB at the point M. We are to prove A M = BM , and arc A S = arc B S. .. Draw CA and C B. CA - C B , ( being radii of the same O ) ; ..A ACB ...
Σελίδα 82
... A B equal the chord CF , and the chord CE be less than the chord C F. Let O P , OH , and OK be is drawn to these ... arc CE < the arc CF. ..LOK will intersect CF in some point , as m . Now But OK > Om . Om > OH , ( a is the shortest ...
... A B equal the chord CF , and the chord CE be less than the chord C F. Let O P , OH , and OK be is drawn to these ... arc CE < the arc CF. ..LOK will intersect CF in some point , as m . Now But OK > Om . Om > OH , ( a is the shortest ...
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.