Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 61.
Σελίδα vii
... CIRCLES . DEFINITIONS STRAIGHT LINES AND CIRCLES MEASUREMENT • THEORY OF LIMITS SUPPLEMENTARY PROPOSITIONS CONSTRUCTIONS . BOOK III . PROPORTIONAL LINES AND SIMILAR POLYGONS . THEORY OF PROPORTION . PROPORTIONAL LINES SIMILAR POLYGONS ...
... CIRCLES . DEFINITIONS STRAIGHT LINES AND CIRCLES MEASUREMENT • THEORY OF LIMITS SUPPLEMENTARY PROPOSITIONS CONSTRUCTIONS . BOOK III . PROPORTIONAL LINES AND SIMILAR POLYGONS . THEORY OF PROPORTION . PROPORTIONAL LINES SIMILAR POLYGONS ...
Σελίδα viii
... CIRCLES . REGULAR POLYGONS AND CIRCLES CONSTRUCTIONS ISOPERIMETRICAL POLYGONS . SUPPLEMENTARY SYMMETRY . SUPPLEMENTARY 174 194 210 224 237 245 ELEMENTS OF GEOMETRY . BOOK I. RECTILINEAR FIGURES . INTRODUCTORY viii CONTENTS .
... CIRCLES . REGULAR POLYGONS AND CIRCLES CONSTRUCTIONS ISOPERIMETRICAL POLYGONS . SUPPLEMENTARY SYMMETRY . SUPPLEMENTARY 174 194 210 224 237 245 ELEMENTS OF GEOMETRY . BOOK I. RECTILINEAR FIGURES . INTRODUCTORY viii CONTENTS .
Σελίδα 13
... produced to any distance , or can 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 . DEFINITIONS . 13.
... produced to any distance , or can 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 . DEFINITIONS . 13.
Σελίδα 14
... circle . - circles . + increased by . diminished by . X multiplied by . divided by . Post . postulate . Def . definition . Ax . axiom . Hyp . hypothesis . Cor . corollary . Q. E. D. quod erat demonstran- dum . Q. E. F. quod erat ...
... circle . - circles . + increased by . diminished by . X multiplied by . divided by . Post . postulate . Def . definition . Ax . axiom . Hyp . hypothesis . Cor . corollary . Q. E. D. quod erat demonstran- dum . Q. E. F. quod erat ...
Σελίδα 72
... equal to E F , and also to FC . 13. Show that the three lines drawn from the vertices of a triangle to the middle points of the opposite sides meet in a point . BOOK II . CIRCLES . DEFINITIONS . 160. DEF . 722 BOOK I. GEOMETRY .
... equal to E F , and also to FC . 13. Show that the three lines drawn from the vertices of a triangle to the middle points of the opposite sides meet in a point . BOOK II . CIRCLES . DEFINITIONS . 160. DEF . 722 BOOK I. GEOMETRY .
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.