Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 4
... lines as having position , but no extent . DEFINITIONS . 1. DEF . Space or Extension has three Dimensions , called ... draw are only imperfect representations of the true lines of Geometry . A line may be conceived as traced or generated ...
... lines as having position , but no extent . DEFINITIONS . 1. DEF . Space or Extension has three Dimensions , called ... draw are only imperfect representations of the true lines of Geometry . A line may be conceived as traced or generated ...
Σελίδα 6
... lines , surfaces , and solids , with their relations , are the geometrical conceptions , and constitute the subject - matter of Geometry . 16. Plane Geometry treats of plane figures . Plane ... line is drawn is called 6 BOOK I. GEOMETRY .
... lines , surfaces , and solids , with their relations , are the geometrical conceptions , and constitute the subject - matter of Geometry . 16. Plane Geometry treats of plane figures . Plane ... line is drawn is called 6 BOOK I. GEOMETRY .
Σελίδα 7
George Albert Wentworth. The point from which a line is drawn is called its origin . 19. If a line , as CB , B , be produced through C , А с + В the portions CB and CA may be regarded as different lines having opposite directions from ...
George Albert Wentworth. The point from which a line is drawn is called its origin . 19. If a line , as CB , B , be produced through C , А с + В the portions CB and CA may be regarded as different lines having opposite directions from ...
Σελίδα 10
... lines B B ' and A A ' be in the same plane , and let BB ' be perpen- dicular to A A ' at the point 0 . Suppose the straight line ... drawn through that point is equal to two right angles . C B D D A E B H A Fig 10 GEOMETRY . BOOK I.
... lines B B ' and A A ' be in the same plane , and let BB ' be perpen- dicular to A A ' at the point 0 . Suppose the straight line ... drawn through that point is equal to two right angles . C B D D A E B H A Fig 10 GEOMETRY . BOOK I.
Σελίδα 11
... drawn through that point , as AOB BOC + COD , etc. , Fig . 2 , is equal to two right angles . Hence two adjacent angles , O CA and OC B , formed by two straight lines , of which one is produced from the point of meeting in both di ...
... drawn through that point , as AOB BOC + COD , etc. , Fig . 2 , is equal to two right angles . Hence two adjacent angles , O CA and OC B , formed by two straight lines , of which one is produced from the point of meeting in both di ...
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'.