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 |
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... contained a new step in the reasoning , in a separate line ; thus giving the book the appearance of a book of limping poetry , and unnecessarily extending the letter - press over a much greater space ; whereas , the great object of a ...
... contained a new step in the reasoning , in a separate line ; thus giving the book the appearance of a book of limping poetry , and unnecessarily extending the letter - press over a much greater space ; whereas , the great object of a ...
Seite 2
... contained by the straight lines , AB , CB , is named the angle ABC , or CBA ; that which is con- tained by AB , DB , is named the angle ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC , or CBD ; but , if ...
... contained by the straight lines , AB , CB , is named the angle ABC , or CBA ; that which is con- tained by AB , DB , is named the angle ABD , or DBA ; and that which is contained by DB , CB , is called the angle DBC , or CBD ; but , if ...
Seite 3
... contained by a diameter and the part of the circumference cut off by the diameter . XIX . [ A segment of a circle is the figure contained by a straight line , anc . the part of the circumference it cuts off . ] This definition is ...
... contained by a diameter and the part of the circumference cut off by the diameter . XIX . [ A segment of a circle is the figure contained by a straight line , anc . the part of the circumference it cuts off . ] This definition is ...
Seite 4
... contain it equal . XXXII . A rhombus is that which has all its sides equal , but its angles are not right angles . This is also redundant ; for a rhombus is that which has one angle oblique , and the sides which contain it unequal ...
... contain it equal . XXXII . A rhombus is that which has all its sides equal , but its angles are not right angles . This is also redundant ; for a rhombus is that which has one angle oblique , and the sides which contain it unequal ...
Seite 8
... contained by these sides equal to one another , their bases , or third sides , are equal ; the two triangles are equal ; and their other angles are equal , each to each ; viz . , those to which the equal sides are opposite . D Let A B C ...
... contained by these sides equal to one another , their bases , or third sides , are equal ; the two triangles are equal ; and their other angles are equal , each to each ; viz . , those to which the equal sides are opposite . D Let A B C ...
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The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
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
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Seite 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.
Seite 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.
Seite 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.
Seite 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.
Seite 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
Seite 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.
Seite 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.
Seite 20 - PROBLEM. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle.
Seite 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.
Seite 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...