The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 Seiten |
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Seite 2
... 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 . XI . An obtuse angle is that which is greater than a right angle . XII ...
... 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 . XI . An obtuse angle is that which is greater than a right angle . XII ...
Seite 10
... angles to a given straight line , from a given point in the same . LET a b be a given straight line , and c a point ... adjacent angles ecf ; and they are adjacent angles . which one straight line makes with another straight line are ...
... angles to a given straight line , from a given point in the same . LET a b be a given straight line , and c a point ... adjacent angles ecf ; and they are adjacent angles . which one straight line makes with another straight line are ...
Seite 11
... adjacent angles ; but when ( 10 def . ) a straight line standing on another straight line makes the adjacent angles equal to one another , each of them is a right angle ; and the straight line which stands upon the other is called a ...
... adjacent angles ; but when ( 10 def . ) a straight line standing on another straight line makes the adjacent angles equal to one another , each of them is a right angle ; and the straight line which stands upon the other is called a ...
Seite 12
... adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line ... angles cea , aed , these angles are together equal ( i . 13 ) to two right angles . Again , because the straight ...
... adjacent angles together equal to two right angles , these two straight lines shall be in one and the same straight line ... angles cea , aed , these angles are together equal ( i . 13 ) to two right angles . Again , because the straight ...
Seite 18
... angles def , efd , viz . abc to def , and bca to efd ; also one مع b third angle e df . d side equal to oné side ; and first let those sides be equal which are adjacent to the angles that are equal in the two triangles viz . be to ef ...
... angles def , efd , viz . abc to def , and bca to efd ; also one مع b third angle e df . d side equal to oné side ; and first let those sides be equal which are adjacent to the angles that are equal in the two triangles viz . be to ef ...
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Häufige Begriffe und Wortgruppen
abcd adjacent angles angle a cb angle abc angle bac angle edf angle equal base bc bc is equal bisected centre circle abc describe diameter double draw equal angles equal straight lines equal to f equimultiples ex æquali exterior angle fore four magnitudes fourth given circle given straight line gnomon greater ratio greater than f ILLUSTRATED LONDON inscribe less LET abc LET the straight likewise multiple opposite angle parallel parallelogram perpendicular produced Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment semicircle shewn square of a c straight line a b straight line ab straight line bc straight line drawn tiple touches the circle triangle abc triangle def twice the rectangle
Beliebte Passagen
Seite 2 - 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 : XVI.
Seite 42 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Seite 4 - Let it be granted that a straight line may be drawn from any one point to any other point.
Seite 21 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Seite 29 - To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Seite 38 - 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 of...
Seite 15 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Seite 13 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Seite 4 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Seite 126 - 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.