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 TrigonometryW. E. Dean, 1851 - 317 pagine |
Dall'interno del libro
Risultati 6-10 di 63
Pagina 33
... whole angle ABD is equal to the whole angle ACD : And the angle BAC has been shewn to be equal to the angle BDC : there- fore the opposite sides and angles of a parallelogram are equal to one an- other ; also , its diameter bisects it ...
... whole angle ABD is equal to the whole angle ACD : And the angle BAC has been shewn to be equal to the angle BDC : there- fore the opposite sides and angles of a parallelogram are equal to one an- other ; also , its diameter bisects it ...
Pagina 34
... whole , or the remainder , AE is equal ( 2. or 3. Ax . ) to the whole , or the remainder DF ; now AB is also equal to DC ; therefore the two EA , AB are equal to the two FD , DC , each to each ; but the ex- FA ED DE WW B terior angle ...
... whole , or the remainder , AE is equal ( 2. or 3. Ax . ) to the whole , or the remainder DF ; now AB is also equal to DC ; therefore the two EA , AB are equal to the two FD , DC , each to each ; but the ex- FA ED DE WW B terior angle ...
Pagina 37
... whole figure ABCD , and are therefore called the complements ; The complement BK is equal to the com- plement KD . Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 34. 1. ) to the triangle ADC : And ...
... whole figure ABCD , and are therefore called the complements ; The complement BK is equal to the com- plement KD . Because ABCD is a parallelogram and AC its diameter , the triangle ABC is equal ( 34. 1. ) to the triangle ADC : And ...
Pagina 38
... whole triangle ABC is equal to the whole ADC ; therefore the remaining complement BK is equal to the remaining complement KD . PROP . XLIV . PROB . To a given straight line to apply a parallelogram , which shall be equal to a given ...
... whole triangle ABC is equal to the whole ADC ; therefore the remaining complement BK is equal to the remaining complement KD . PROP . XLIV . PROB . To a given straight line to apply a parallelogram , which shall be equal to a given ...
Pagina 39
... whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , hav- ing the angle FKM equal to the given angle E. COR . From this ...
... whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , hav- ing the angle FKM equal to the given angle E. COR . From this ...
Altre edizioni - Visualizza tutto
Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1853 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Visualizzazione completa - 1857 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Visualizzazione completa - 1836 |
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 described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore