Elements of GeometryGinn, Heath, & Company, 1882 - 250 σελίδες |
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Αποτελέσματα 1 - 5 από τα 26.
Σελίδα 6
... coincide . Between two points one , and but one , straight line can be drawn ; that is , a straight line is determined in position if two of its points be known . Of all lines between two points , the shortest is the straight line ; and ...
... coincide . Between two points one , and but one , straight line can be drawn ; that is , a straight line is determined in position if two of its points be known . Of all lines between two points , the shortest is the straight line ; and ...
Σελίδα 7
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . $ 18 22. Two straight lines which lie in the same plane DEFINITIONS . 7.
... meet ; for if they could meet , then we should have two straight lines passing through the same point in the same direction . Such lines , however , coincide . $ 18 22. Two straight lines which lie in the same plane DEFINITIONS . 7.
Σελίδα 11
... coincide . Two angles are equal , if they can be so placed that their vertices coincide in position and their sides in direction . In applying this test of equality , we assume that a line may be moved from one place to another without ...
... coincide . Two angles are equal , if they can be so placed that their vertices coincide in position and their sides in direction . In applying this test of equality , we assume that a line may be moved from one place to another without ...
Σελίδα 16
... = LOCF LOC B. .. CB and C F coincide , and cannot form two lines as rep- resented in the figure . .. A C and C B are in the same straight line . Q. E. D. PROPOSITION III . THEOREM . 52. A perpendicular measures the 16 GEOMETRY . BOOK I.
... = LOCF LOC B. .. CB and C F coincide , and cannot form two lines as rep- resented in the figure . .. A C and C B are in the same straight line . Q. E. D. PROPOSITION III . THEOREM . 52. A perpendicular measures the 16 GEOMETRY . BOOK I.
Σελίδα 26
... coincides with M N. $ 65 Hyp . $ 66 ( Through the same point only one line can be drawn || to a given line ) . that is .. E F is to HK , HK is to EF . Q. E. D. PROPOSITION XI . THEOREM . 68. If two parallel straight 26 BOOK I. GEOMETRY . -
... coincides with M N. $ 65 Hyp . $ 66 ( Through the same point only one line can be drawn || to a given line ) . that is .. E F is to HK , HK is to EF . Q. E. D. PROPOSITION XI . THEOREM . 68. If two parallel straight 26 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.