The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 53
... difference of any two sides of a triangle is less than the third side . 12. Let AB bisect CD at right angles at B ; from any point E draw EC through the nearest extremity of CD cutting AB at F ; and prove that the difference of EF and ...
... difference of any two sides of a triangle is less than the third side . 12. Let AB bisect CD at right angles at B ; from any point E draw EC through the nearest extremity of CD cutting AB at F ; and prove that the difference of EF and ...
Página 55
... difference of BD and CE . 35. If AB be bisected at C , and from A , C , B parallel lines be drawn cutting a given line at D , F , E , shew that , according as A and B lie on the same or opposite sides of the line , CF is equal to the ...
... difference of BD and CE . 35. If AB be bisected at C , and from A , C , B parallel lines be drawn cutting a given line at D , F , E , shew that , according as A and B lie on the same or opposite sides of the line , CF is equal to the ...
Página 56
... difference of the angles at the base of any triangle is double of the angle between two lines drawn from the vertex , one bisecting the vertical angle and the other perpendicular to the base . 50. In the base BC of an isosceles triangle ...
... difference of the angles at the base of any triangle is double of the angle between two lines drawn from the vertex , one bisecting the vertical angle and the other perpendicular to the base . 50. In the base BC of an isosceles triangle ...
Página 57
... difference between each side and the adjacent segment of the base : construct the triangle . 60. Let AD be drawn perpendicular to the base BC of a triangle , in which the angle B is double of the angle C ; in AB , produced or not ...
... difference between each side and the adjacent segment of the base : construct the triangle . 60. Let AD be drawn perpendicular to the base BC of a triangle , in which the angle B is double of the angle C ; in AB , produced or not ...
Página 58
... difference of the two acute angles of the triangle . 70. Find the point in the base of a triangle from which lines drawn parallel to the sides to meet them are equal . 71. The area of a trapezium is half that of a parallelo- gram ...
... difference of the two acute angles of the triangle . 70. Find the point in the base of a triangle from which lines drawn parallel to the sides to meet them are equal . 71. The area of a trapezium is half that of a parallelo- gram ...
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