The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 59
Página 8
... third sides , equal , and the two triangles shall be equal , and their other angles shall be equal , each to each , viz . , those to which the equal sides are opposite . A Let ABC , DEF be two triangles , which have the two sides AB ...
... third sides , equal , and the two triangles shall be equal , and their other angles shall be equal , each to each , viz . , those to which the equal sides are opposite . A Let ABC , DEF be two triangles , which have the two sides AB ...
Página 21
... third side . Let ABC be a triangle : any two sides of it are to- gether greater than the third side , viz . BA , AC , greater than BC , and AB , BC , greater than AC , and AC , CB , greater than AB . Produce BA to the point D , making ...
... third side . Let ABC be a triangle : any two sides of it are to- gether greater than the third side , viz . BA , AC , greater than BC , and AB , BC , greater than AC , and AC , CB , greater than AB . Produce BA to the point D , making ...
Página 22
... third side ( 1. 20 ) , the two sides BA , AE , of the triangle ABE are greater than BE : To each of these add EC ; therefore the sides BA , AC are greater than BE , EC : Again , because the two sides , CE , ED , of the triangle CED are ...
... third side ( 1. 20 ) , the two sides BA , AE , of the triangle ABE are greater than BE : To each of these add EC ; therefore the sides BA , AC are greater than BE , EC : Again , because the two sides , CE , ED , of the triangle CED are ...
Página 23
... third ( 1. 20 ) . Let A , B , C be the three given straight lines , of which any two whatever are greater than the third , viz . A and B greater than C , A and C greater than B , and B and C greater than A : it is required to make a ...
... third ( 1. 20 ) . Let A , B , C be the three given straight lines , of which any two whatever are greater than the third , viz . A and B greater than C , A and C greater than B , and B and C greater than A : it is required to make a ...
Página 26
... third angle of the one to the third angle of the other . A D Let ABC , DEF be two triangles which have the angles ABC , ACB equal to the angles DEF , DFE , each to each , viz . ABC to DEF , and ACB to DFE , and have also one side equal ...
... third angle of the one to the third angle of the other . A D Let ABC , DEF be two triangles which have the angles ABC , ACB equal to the angles DEF , DFE , each to each , viz . ABC to DEF , and ACB to DFE , and have also one side equal ...
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