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 34
Pagina 24
... half of the parallelogram EBCA , because the diagonal AB bisects it ( I. 34 ) ; and the triangle DBC is the half of the paral- ellogram DBCF , because the diagonal DC bisects it : and the halves of equal things are equal ( Ax . 7 ) ...
... half of the parallelogram EBCA , because the diagonal AB bisects it ( I. 34 ) ; and the triangle DBC is the half of the paral- ellogram DBCF , because the diagonal DC bisects it : and the halves of equal things are equal ( Ax . 7 ) ...
Pagina 25
... half ( I. 34 ) of the parallelogram GBCA , because the diagonal AB bisects it ; and the triangle DEF is the half ( I. 34 ) of the parallelogram DEFH , because the diagonal DF bisects it ; but the halves of equal things are equal ( Ax ...
... half ( I. 34 ) of the parallelogram GBCA , because the diagonal AB bisects it ; and the triangle DEF is the half ( I. 34 ) of the parallelogram DEFH , because the diagonal DF bisects it ; but the halves of equal things are equal ( Ax ...
Pagina 33
... half the line . Let the straight line AB be divided into two equal parts in the point C , and into two unequal parts in the point D ; the rectangle AD.DB , together with the square of CD , is equal to the square of CB , or AD , DB + CD2 ...
... half the line . Let the straight line AB be divided into two equal parts in the point C , and into two unequal parts in the point D ; the rectangle AD.DB , together with the square of CD , is equal to the square of CB , or AD , DB + CD2 ...
Pagina 34
... half the line bisected , is equal to the square of the straight line which is made up of the half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the rectangle AD.DB , together with the ...
... half the line bisected , is equal to the square of the straight line which is made up of the half and the part produced . Let the straight line AB be bisected in C , and produced to the point D ; the rectangle AD.DB , together with the ...
Pagina 36
... half that line . Otherwise : Because AD is divided anyhow in C ( II . 4 ) AD2 = AC2 + CD2 + 2CD.AC ; but CD = 2CB ; and therefore CD2 = CB2 + BD2 + 2CB . BD ( II . 4 ) = 4CB2 ; and also 2CD.AC-4CB.AC ; therefore AD2 = AC2 + 4BC2 + 4BC ...
... half that line . Otherwise : Because AD is divided anyhow in C ( II . 4 ) AD2 = AC2 + CD2 + 2CD.AC ; but CD = 2CB ; and therefore CD2 = CB2 + BD2 + 2CB . BD ( II . 4 ) = 4CB2 ; and also 2CD.AC-4CB.AC ; therefore AD2 = AC2 + 4BC2 + 4BC ...
Altre edizioni - Visualizza tutto
Elements of Geometry; Containing the First Six Books of Euclid, With Two ... John 1748-1819 Playfair Anteprima non disponibile - 2021 |
Parole e frasi comuni
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