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, 1836 - 311 páginas |
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... 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 ...
Página 5
... 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 ...
Página 11
... less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ...
... less , and join DC ; therefore , because in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , CB , each to each ; but the angle DBC is also equal to the angle ACB ...
Página 13
... less to the greater , which is impossible ; 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 the ...
... less to the greater , which is impossible ; 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 the ...
Página 14
... less than two right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce BC to D ; and because ACD is the exterior angle of the trian- gle ABC , ACD is greater ( 9. 1. ) than the ...
... less than two right angles . Let ABC be any triangle ; any two of its angles together are less than two right angles . A Produce BC to D ; and because ACD is the exterior angle of the trian- gle ABC , ACD is greater ( 9. 1. ) than the ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided draw Prob equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles 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 PROP 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
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |