Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: To which are Added, Elements of Plane and Spherical TrignonometryBell & Bradfute, 1875 - 257 pagine |
Dall'interno del libro
Risultati 1-5 di 33
Pagina 23
... ABCD is equal to the parallelogram EBCF . * If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be terminated in the same point D ; it is plain that each of the parallelograms is double ( I. 34 ) the ...
... ABCD is equal to the parallelogram EBCF . * If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be terminated in the same point D ; it is plain that each of the parallelograms is double ( I. 34 ) the ...
Pagina 24
... ABCD is equal to the parallelogram EBCF . Therefore , paral- lelograms upon the same base , & c . Q. E. D. PROP . XXXVI . THEOR . Parallelograms upon equal bases , and between the same paral- lels , are equal to one another . * D E Let ABCD ...
... ABCD is equal to the parallelogram EBCF . Therefore , paral- lelograms upon the same base , & c . Q. E. D. PROP . XXXVI . THEOR . Parallelograms upon equal bases , and between the same paral- lels , are equal to one another . * D E Let ABCD ...
Pagina 26
... ABCD and the triangle EBC be upon the same base BC , and between the same pa- A rallels BC , AE ; the parallelogram ABCD is double the triangle EBC . B C Join AC ; then the triangle ABC is equal ( I. 37 ) to the triangle EBC , because ...
... ABCD and the triangle EBC be upon the same base BC , and between the same pa- A rallels BC , AE ; the parallelogram ABCD is double the triangle EBC . B C Join AC ; then the triangle ABC is equal ( I. 37 ) to the triangle EBC , because ...
Pagina 27
... ABCD be a parallelogram , of which the diagonal is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelograms , which make up the whole figure ABCD , and are ...
... ABCD be a parallelogram , of which the diagonal is AC ; let EH , FG be the parallelograms about AC , that is , through which AC passes , and let BK , KD be the other parallelograms , which make up the whole figure ABCD , and are ...
Pagina 28
... ABCD be the given rectilineal figure , and E the given rectilineal angle ; it is required to describe a parallelogram equal to ABCD , and having an angle equal to E. Join DB , and describe ( I. 42 ) the parallelogram FH equal to the ...
... ABCD be the given rectilineal figure , and E the given rectilineal angle ; it is required to describe a parallelogram equal to ABCD , and having an angle equal to E. Join DB , and describe ( I. 42 ) the parallelogram FH equal to the ...
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Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore given circle given point given straight line hypotenuse inscribed less Let ABC Let the straight meet multiple opposite angle parallel parallelogram perpendicular plane polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius rectangle contained rectilineal figure remaining angle right angles segment semicircle similar sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC straight line drawn tangent THEOR third three straight lines touches the circle triangle ABC triangle DEF wherefore