The Elements of geometry; or, The first six books, with the eleventh and twelfth, of Euclid, with corrections, annotations, and exercises, by R. Wallace. Cassell's ed1855 |
Dentro del libro
Página 22
... have two angles of the one equal to two angles of the other , each to each ; and one side equal to one side , -viz . , either the sides adjacent to the equal angles , or the sides opposite to equal angles in each then their other sides ...
... have two angles of the one equal to two angles of the other , each to each ; and one side equal to one side , -viz . , either the sides adjacent to the equal angles , or the sides opposite to equal angles in each then their other sides ...
Página 23
... have two angles of the one , equal to two angles of the other , each to each , and a side of the one equal to a side of the other similarly situated as to the equal angles , the two triangles are equal in every respect . Exercise 1 ...
... have two angles of the one , equal to two angles of the other , each to each , and a side of the one equal to a side of the other similarly situated as to the equal angles , the two triangles are equal in every respect . Exercise 1 ...
Página 86
... have two angles of the one equal to two angles of the other , each to each ; and the side BD , which is opposite to one of the equal angles in each , is common to both . Therefore their other sides are equal ( I. 26 ) , and DE is equal ...
... have two angles of the one equal to two angles of the other , each to each ; and the side BD , which is opposite to one of the equal angles in each , is common to both . Therefore their other sides are equal ( I. 26 ) , and DE is equal ...
Página 158
... have two angles of . the one equal to two angles of the other , each to each , and the sides AE and EB , adjacent to the equal angles , equal to one another . Where- fore their other sides are equal ( L. 26 ) . Therefore GE is equal to ...
... have two angles of . the one equal to two angles of the other , each to each , and the sides AE and EB , adjacent to the equal angles , equal to one another . Where- fore their other sides are equal ( L. 26 ) . Therefore GE is equal to ...
Otras ediciones - Ver todas
The Elements of geometry; or, The first six books, with the eleventh and ... Euclides Vista completa - 1881 |
The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Sin vista previa disponible - 2016 |
Términos y frases comunes
A B C ABC is equal ABCD altitude angle ABC angle BAC base bisected Book centre circle circle ABC circumference common compounded cone Const contained Corollary cylinder definition demonstration described diameter divided double draw drawn equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half homologous inscribed join less magnitudes manner meet multiple opposite parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proposition proved pyramid ratio reason rectangle contained rectilineal figure remaining angle right angles segment shown sides similar similarly solid solid angle sphere square Take taken THEOREM third touch triangle ABC vertex Wherefore whole
Pasajes populares
Página 23 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 42 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Página 2 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Página 130 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
Página 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 143 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.
Página 20 - PROBLEM. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle.
Página 115 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Página 45 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...
Información bibliográfica
| Título | The Elements of geometry; or, The first six books, with the eleventh and twelfth, of Euclid, with corrections, annotations, and exercises, by R. Wallace. Cassell's ed |
| Autor | Euclides |
| Editor | Robert Wallace |
| Publicado | 1855 |
| Procedencia del original | Universidad de Oxford |
| Digitalizado | 8 Sep. 2006 |
| Exportar cita | BiBTeX EndNote RefMan |