Elements of GeometryGinn, Heath & Company, 1884 |
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Σελίδα 8
... common . : Conversely Two straight lines lying in the same plane which do not meet have the same direction ; for if they had different directions they would meet , which is contrary to the hypothesis that they do not meet . Two straight ...
... common . : Conversely Two straight lines lying in the same plane which do not meet have the same direction ; for if they had different directions they would meet , which is contrary to the hypothesis that they do not meet . Two straight ...
Σελίδα 9
... common vertex and a common side between them . Thus the angles CDE and CDF are adjacent angles . E D A B F 25. DEF . A Right Angle is an angle included between two straight lines which meet each other so that the two adjacent angles ...
... common vertex and a common side between them . Thus the angles CDE and CDF are adjacent angles . E D A B F 25. DEF . A Right Angle is an angle included between two straight lines which meet each other so that the two adjacent angles ...
Σελίδα 15
... common ≤ O C A. Then LOCB = LACP . In like manner we may prove LACO = L P CB . Q. E. D. 50. COROLLARY . If two straight lines cut one another , the four angles which they make at the point of intersection are together equal to four ...
... common ≤ O C A. Then LOCB = LACP . In like manner we may prove LACO = L P CB . Q. E. D. 50. COROLLARY . If two straight lines cut one another , the four angles which they make at the point of intersection are together equal to four ...
Σελίδα 16
... common OCA . Then = LOCF ZOC 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 ...
... common OCA . Then = LOCF ZOC 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 ...
Σελίδα 23
... common property . Thus , the perpendicular erected at the middle of a straight line is the locus of all points equally distant from the extremi- ties of that straight line . 60. SCHOLIUM . Since two points determine the position of a ...
... common property . Thus , the perpendicular erected at the middle of a straight line is the locus of all points equally distant from the extremi- ties of that straight line . 60. SCHOLIUM . Since two points determine the position of a ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
A B C AABC ABCD adjacent angles alt.-int altitude apothem arc A B bisect centre circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse isosceles triangle Let A B Let ABC limit line A B Mailing price measured by arc middle point number of sides parallelogram perimeter perpendicular PHILLIPS EXETER ACADEMY plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC vertex vertices Wentworth