The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Página 33
... twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be 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 ...
... twice as many right angles as the figure has sides . For any rectilineal figure ABCDE can be 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 ...
Página 54
... twice turned down , so that the creases are parallel and the triangular fold of the same breadth as the other , shew that the space included in the second fold is three times that in the first . 31. The quadrilateral figure whose ...
... twice turned down , so that the creases are parallel and the triangular fold of the same breadth as the other , shew that the space included in the second fold is three times that in the first . 31. The quadrilateral figure whose ...
Página 56
... twice the exterior angle is greater than two right angles by the vertical angle . 47. If there be an isosceles and an equilateral triangle upon the same base , and so that the inner vertex is equally distant from the other and from the ...
... twice the exterior angle is greater than two right angles by the vertical angle . 47. If there be an isosceles and an equilateral triangle upon the same base , and so that the inner vertex is equally distant from the other and from the ...
Página 58
... twice AB : prove that the angle DBC is one - third of the angle ABC . 64. In a given triangle place a line which shall be terminated by the two sides , and be equal to one given line and parallel to another . 65. Any straight line drawn ...
... twice AB : prove that the angle DBC is one - third of the angle ABC . 64. In a given triangle place a line which shall be terminated by the two sides , and be equal to one given line and parallel to another . 65. Any straight line drawn ...
Página 60
... twice the altitude of the triangle ; bisect AB , AC at F , G ; and shew that the triangle ABC is equal to the sum or difference of the triangles BDF , CEG , according as the angles at the base of ABC are both or only one acute . 88. If ...
... twice the altitude of the triangle ; bisect AB , AC at F , G ; and shew that the triangle ABC is equal to the sum or difference of the triangles BDF , CEG , according as the angles at the base of ABC are both or only one acute . 88. If ...
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