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 |
Dentro del libro
Resultados 1-5 de 46
Página 42
... equal to AB , and through the point D draw DE parallel ( Prob . 13. ) to AB , and through B draw BE parallel to AD ... similar construction which reduces two of them to one , will reduce three of them to two , and these two to one , and ...
... equal to AB , and through the point D draw DE parallel ( Prob . 13. ) to AB , and through B draw BE parallel to AD ... similar construction which reduces two of them to one , will reduce three of them to two , and these two to one , and ...
Página 56
... Similar segments of a circle , are those in which the angles are equal , or which contain equal an- gles . PROP . I. THEOR . A diameter divides a circle and its circumference into two equal parts ; and , con- versely , the line which ...
... Similar segments of a circle , are those in which the angles are equal , or which contain equal an- gles . PROP . I. THEOR . A diameter divides a circle and its circumference into two equal parts ; and , con- versely , the line which ...
Página 62
... equal . For similar reasons FB , FC , are equal ; hence the points A , B , C , are all equally distant from the point F , and con- sequently lie in the circumference of the circle , whose centre is F , and radius FA . It is obvious ...
... equal . For similar reasons FB , FC , are equal ; hence the points A , B , C , are all equally distant from the point F , and con- sequently lie in the circumference of the circle , whose centre is F , and radius FA . It is obvious ...
Página 72
... equal to two right angles , cannot be inscribed in a circle . PROP . XXIII . THEOR Upon the same straight line , and upon the same side of it , there cannot be two similar ... similar segments of circles viz . ACB , ADB , be upon the same ...
... equal to two right angles , cannot be inscribed in a circle . PROP . XXIII . THEOR Upon the same straight line , and upon the same side of it , there cannot be two similar ... similar segments of circles viz . ACB , ADB , be upon the same ...
Página 73
... similar ( 12 . def . 3. ) to the segment EDF ; and they are upon equal straight lines BC , EF ; but similar segments of circles upon equal straight lines are equal ( 24. 3. ) to one another , therefore the segment BAC is equal to the ...
... similar ( 12 . def . 3. ) to the segment EDF ; and they are upon equal straight lines BC , EF ; but similar segments of circles upon equal straight lines are equal ( 24. 3. ) to one another , therefore the segment BAC is equal to 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 |