The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Resultados 1-5 de 44
Página 52
... intersection is bisected at right angles by the line joining their centres . 3. From every point of a given line , the lines drawn to each of two given points on opposite sides of the line are equal : prove that the line joining the ...
... intersection is bisected at right angles by the line joining their centres . 3. From every point of a given line , the lines drawn to each of two given points on opposite sides of the line are equal : prove that the line joining the ...
Página 53
... intersection of the diagonals ) to the four angles . 14. Construct a triangle , having given one side , an adjacent angle , and the sum or difference of the other two sides . 15. The centre of a circle being given , find two op- posite ...
... intersection of the diagonals ) to the four angles . 14. Construct a triangle , having given one side , an adjacent angle , and the sum or difference of the other two sides . 15. The centre of a circle being given , find two op- posite ...
Página 56
... intersection of the circles , shew that DF , EF are in one line . 44. Trisect a right angle . 45. One of the acute angles of a right - angled triangle is three times as great as the other : trisect the smaller of these . 46. If the base ...
... intersection of the circles , shew that DF , EF are in one line . 44. Trisect a right angle . 45. One of the acute angles of a right - angled triangle is three times as great as the other : trisect the smaller of these . 46. If the base ...
Página 60
... intersect at one point , and trisect the triangle . 91. Shew that any one of the lines in [ 90 ] is divided at the point of intersection , so that one of the parts is double of the other . 92. If two sides of a triangle be given , its ...
... intersect at one point , and trisect the triangle . 91. Shew that any one of the lines in [ 90 ] is divided at the point of intersection , so that one of the parts is double of the other . 92. If two sides of a triangle be given , its ...
Página 61
... intersection of the bisecting lines to the opposite angle of the triangle will bisect it . 97. In the figure , Euc ... intersect at one point . 62 BOOK II . DEFINITIONS . I. EVERY right - BOOK I. 61.
... intersection of the bisecting lines to the opposite angle of the triangle will bisect it . 97. In the figure , Euc ... intersect at one point . 62 BOOK II . DEFINITIONS . I. EVERY right - BOOK I. 61.
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore