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
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Página 7
... LET it be granted that a straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at ...
... LET it be granted that a straight line may be drawn from any one point to any other point . 2. That a terminated straight line may be produced to any length in a straight line . 3. And that a circle may be described from any centre , at ...
Página 9
... may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB co- inciding with DE , AC shall coincide with DF , because the angle BAC is equal to the angle EDF ...
... may be on D , and the straight line AB upon DE ; the point B shall coincide with the point E , because AB is equal to DE ; and AB co- inciding with DE , AC shall coincide with DF , because the angle BAC is equal to the angle EDF ...
Página 12
... Let the straight line AB make with CD , upon one side of it the angles CBA , ABD ; these are either two right angles ... let BE be perpendicular to DC at the point B. The angle DBA is the sum of the angles DBE , EBA : therefore , DBA + ...
... Let the straight line AB make with CD , upon one side of it the angles CBA , ABD ; these are either two right angles ... let BE be perpendicular to DC at the point B. The angle DBA is the sum of the angles DBE , EBA : therefore , DBA + ...
Página 13
... straight line with CB , let BE be in the same straight line with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are to- gether equal ( 6. 1. ) to two ...
... straight line with CB , let BE be in the same straight line with it ; therefore , because the straight line AB makes angles with the straight line CBE , upon one side of it , the angles ABC , ABE are to- gether equal ( 6. 1. ) to two ...
Página 16
... straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater angle . Let the two straight lines BD , CD be drawn from B , C , the ends of the side ...
... straight lines to a point within the triangle , these two lines shall be less than the other two sides of the triangle , but shall contain a greater angle . Let the two straight lines BD , CD be drawn from B , C , the ends of the side ...
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 |