The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 33
... divided into as many triangles as the E figure has sides , by drawing straight lines from any point F within the figure to each of its angles . Now , by the preceding proposition , all the angles of these triangles are equal to twice as ...
... divided into as many triangles as the E figure has sides , by drawing straight lines from any point F within the figure to each of its angles . Now , by the preceding proposition , all the angles of these triangles are equal to twice as ...
Página 60
... divided into two pairs of equal triangles . 86. Through E , the bisection of the diagonal BD of a quadrilateral ABCD , draw FEG parallel to AC ; and shew that AG will bisect the figure . 87. ABC is a given triangle ; draw BD , CE perpen ...
... divided into two pairs of equal triangles . 86. Through E , the bisection of the diagonal BD of a quadrilateral ABCD , draw FEG parallel to AC ; and shew that AG will bisect the figure . 87. ABC is a given triangle ; draw BD , CE perpen ...
Página 62
... divided into any number of parts , the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line . Let A and BC be two straight lines , and let BC ...
... divided into any number of parts , the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line and the several parts of the divided line . Let A and BC be two straight lines , and let BC ...
Página 63
... divided into any two parts , the rect- angles contained by the whole and each of the parts are together equal to the square on the whole line . * Let the straight line AB be divided into any two parts at the point C : the rectangle AB ...
... divided into any two parts , the rect- angles contained by the whole and each of the parts are together equal to the square on the whole line . * Let the straight line AB be divided into any two parts at the point C : the rectangle AB ...
Página 64
... divided into any two parts , the rect- angle contained by the whole and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part . Let the straight line AB be divided into any ...
... divided into any two parts , the rect- angle contained by the whole and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part . Let the straight line AB be divided into any ...
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