The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 52
Página 5
... double of the same thing are equal to one another . VII . Things that are halves of the same thing are equal to one another . vi . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to ...
... double of the same thing are equal to one another . VII . Things that are halves of the same thing are equal to one another . vi . Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to ...
Página 36
... double of the triangle BDC ( 1. 34 ) , and they are therefore equal to one another . But if ( fig . 2 and 3 ) the points D , E do not coincide , then , because ABCD is a parallelogram , AD is equal to BC ( 1.34 ) : For the like reason ...
... double of the triangle BDC ( 1. 34 ) , and they are therefore equal to one another . But if ( fig . 2 and 3 ) the points D , E do not coincide , then , because ABCD is a parallelogram , AD is equal to BC ( 1.34 ) : For the like reason ...
Página 40
... double of the triangle ABC , because the diameter AC bisects it B ( 1. 34 ) ; therefore also the parallelogram ABCD is double of the triangle EBC . Wherefore , If a parallelogram , & c . Q. E. D. PROP . XLII . PROB . To describe a ...
... double of the triangle ABC , because the diameter AC bisects it B ( 1. 34 ) ; therefore also the parallelogram ABCD is double of the triangle EBC . Wherefore , If a parallelogram , & c . Q. E. D. PROP . XLII . PROB . To describe a ...
Página 41
... double of the triangle AEC : But the parallelogram FECG is likewise double of the triangle AEC ( 1.41 ) , because they are upon the same base , and between the same parallels : Therefore the parallelogram FECG is equal to the triangle ...
... double of the triangle AEC : But the parallelogram FECG is likewise double of the triangle AEC ( 1.41 ) , because they are upon the same base , and between the same parallels : Therefore the parallelogram FECG is equal to the triangle ...
Página 46
... double of the triangle FBC , because they are upon the same base FB , and between the same parallels FB , GC ; and the doubles of equals are equal to one another ; therefore the parallelogram BL is equal to the square GB : And , in like ...
... double of the triangle FBC , because they are upon the same base FB , and between the same parallels FB , GC ; and the doubles of equals are equal to one another ; therefore the parallelogram BL is equal to the square GB : And , in like ...
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