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 TrigonometryJ.B. Lippincott, 1857 - 317 pagine |
Dall'interno del libro
Risultati 1-5 di 99
Pagina 4
... less considerable , it is hoped may in some degree facilitate the study of the Elements . Such are those made on the definitions in the first Book , and particularly on that of a straight line . A new axiom is also introduced in the ...
... less considerable , it is hoped may in some degree facilitate the study of the Elements . Such are those made on the definitions in the first Book , and particularly on that of a straight line . A new axiom is also introduced in the ...
Pagina 6
... by B , and is read A equal to B. = 19. To signify that A is greater than B , the expression A7B is used . And to signify that A is less than B , the expression A / B is used . 20. The sign of Addition is an e or DBA 6 ELEMENTS.
... by B , and is read A equal to B. = 19. To signify that A is greater than B , the expression A7B is used . And to signify that A is less than B , the expression A / B is used . 20. The sign of Addition is an e or DBA 6 ELEMENTS.
Pagina 9
... less than a right angle . 10. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without any reference to the nature of the line or lines which bound it ...
... less than a right angle . 10. A figure is that which is enclosed by one or more boundaries . - The word area denotes the quantity of space contained in a figure , without any reference to the nature of the line or lines which bound it ...
Pagina 13
... less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( 2. 1. ) the straight line AD equal to C ; and ...
... less . Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the less . From the point A draw ( 2. 1. ) the straight line AD equal to C ; and ...
Pagina 20
... less to the greater , which is im- possible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in ...
... less to the greater , which is im- possible ; therefore BE is not in the same straight line with BC . And in like manner , it may be demonstrated , that no other can be in the same straight line with it but BD , which therefore is in ...
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 ... Euclid,John Playfair Visualizzazione completa - 1851 |
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 magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular plane 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 third touches the circle triangle ABC triangle DEF wherefore