Elements of GeometryGinn, Heath, & Company, 1879 - 250 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 12
... graphical representation of a geometrical conception . 39. DEF . A Problem is a construction to be effected , or a question to be investigated . 1- 3 = 23 40. DEF . An Axiom is 12 BOOK I. GEOMETRY . MATHEMATICAL TERMS AXIOMS AND POSTULATES.
... graphical representation of a geometrical conception . 39. DEF . A Problem is a construction to be effected , or a question to be investigated . 1- 3 = 23 40. DEF . An Axiom is 12 BOOK I. GEOMETRY . MATHEMATICAL TERMS AXIOMS AND POSTULATES.
Σελίδα 13
... problem which is admitted to be possible . 42. DEF . A Proposition is either a theorem or a problem . 43. DEF . A Corollary is a truth easily deduced from the proposition to which it is attached . 44. DEF . A Scholium is a remark upon ...
... problem which is admitted to be possible . 42. DEF . A Proposition is either a theorem or a problem . 43. DEF . A Corollary is a truth easily deduced from the proposition to which it is attached . 44. DEF . A Scholium is a remark upon ...
Σελίδα 102
... circumference . the circumference . arc BC + arc BAE C. arc A Barc BC , ( being subtended by the less chord ) . .. arc A E C B > arc B AEC . $ 213 Q. E. D. ON CONSTRUCTIONS . PROPOSITION XXI . PROBLEM . 215. To .102 BOOK II . GEOMETRY .
... circumference . the circumference . arc BC + arc BAE C. arc A Barc BC , ( being subtended by the less chord ) . .. arc A E C B > arc B AEC . $ 213 Q. E. D. ON CONSTRUCTIONS . PROPOSITION XXI . PROBLEM . 215. To .102 BOOK II . GEOMETRY .
Σελίδα 103
George Albert Wentworth. ON CONSTRUCTIONS . PROPOSITION XXI . PROBLEM . 215. To find a point in a plane , having given its dis- tances from two known points . n 0 X B Let A and B be the two known points ; n the dis- tance of the required ...
George Albert Wentworth. ON CONSTRUCTIONS . PROPOSITION XXI . PROBLEM . 215. To find a point in a plane , having given its dis- tances from two known points . n 0 X B Let A and B be the two known points ; n the dis- tance of the required ...
Σελίδα 104
... problem is impossible when the distance between the two known points is greater than the sum of the distances of the required point from the two given points . Let the distance from A to B be greater than n + o . Then from A as a centre ...
... problem is impossible when the distance between the two known points is greater than the sum of the distances of the required point from the two given points . Let the distance from A to B be greater than n + o . Then from A as a centre ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC AACB ABCD acute adjacent angles alt.-int altitude arc A B base bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon exterior angles figure Geometry given circle given line given point given straight line greater homologous sides hypotenuse Iden isosceles triangle Let A B limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral quantities radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment shortest side sides of equal similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 144 - 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'.
Σελίδα 38 - 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 134 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 200 - 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 159 - In any triangle the product of two sides is equal to the product of the diameter...
Σελίδα 132 - 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.
Σελίδα 70 - I) is a parallelogram, E and F the middle points of AD and BC respectively ; show that BE and DF will trisect the diagonal A C.
Σελίδα 48 - If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second...
Σελίδα 81 - A straight line perpendicular to a radius at its extremity is a tangent to the circle. Let MB be perpendicular to the radius OA at A.