The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 10
... equiangular . C G E Hence every equilateral triangle is also PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subten l , or are opposite to , the equal angles , shall be equal to one another ...
... equiangular . C G E Hence every equilateral triangle is also PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides also which subten l , or are opposite to , the equal angles , shall be equal to one another ...
Página 11
... equiangular triangle is also equi- lateral . PROP . VII . THEOR . Upon the same base , and on the same side of it , there cannot be two triangles which have their sides terminated at one extremity of the base equal to one another , and ...
... equiangular triangle is also equi- lateral . PROP . VII . THEOR . Upon the same base , and on the same side of it , there cannot be two triangles which have their sides terminated at one extremity of the base equal to one another , and ...
Página 57
... equiangular . 61. In [ 60 ] shew that the less side AB is equal to the sum or difference of the segments of the base , accord- ing as the greater angle B is greater or less than a right angle . 62. The lines which bisect the angles of ...
... equiangular . 61. In [ 60 ] shew that the less side AB is equal to the sum or difference of the segments of the base , accord- ing as the greater angle B is greater or less than a right angle . 62. The lines which bisect the angles of ...
Página 61
... equiangular , and equal to the triangle ABC . 99. In ditto , if GH , KE , FD be joined , each of the triangles so formed is equal to the given triangle ABC . 100. In ditto , produce FG , KH to meet at M , join MB , MC , and produce MA ...
... equiangular , and equal to the triangle ABC . 99. In ditto , if GH , KE , FD be joined , each of the triangles so formed is equal to the given triangle ABC . 100. In ditto , produce FG , KH to meet at M , join MB , MC , and produce MA ...
Página 145
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle : it is required to inscribe in the circle ABC a triangle equiangular to DEF . ~ D E F B H Draw the straight line BOOK IV . 145.
... equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle : it is required to inscribe in the circle ABC a triangle equiangular to DEF . ~ D E F B H Draw the straight line BOOK IV . 145.
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