The first six books of the Elements of Euclid, with numerous exercisesIngram, Cooke, 1853 - 147 Seiten |
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Seite 4
... equal to and tan . polar distance increases indefinitely . eat circles are seen under the form of straight lines in ction of the sphere ; and therefore the projection of t circle ... the hectemorial › rial hour - lines cease to be , because.
... equal to and tan . polar distance increases indefinitely . eat circles are seen under the form of straight lines in ction of the sphere ; and therefore the projection of t circle ... the hectemorial › rial hour - lines cease to be , because.
Seite 3
... equal to the squares on AD , DB ; and the square on AC to the squares on AD , DC . Therefore the difference of the squares on AB , AC is equal ... the straight lines AB , CD ( fig . B2 ( 3 ) ,
... equal to the squares on AD , DB ; and the square on AC to the squares on AD , DC . Therefore the difference of the squares on AB , AC is equal ... the straight lines AB , CD ( fig . B2 ( 3 ) ,
Seite 5
... the required locus , and since they are every- where equally distant from AB , they are | to it , and hence | to each other ( § 75 ) . Ex . 3 . Show that the two equal straight lines drawn from a point to a straight line make equal ...
... the required locus , and since they are every- where equally distant from AB , they are | to it , and hence | to each other ( § 75 ) . Ex . 3 . Show that the two equal straight lines drawn from a point to a straight line make equal ...
Seite 4
... equal to it , is also given . It is evident that a straight line is parallel to one of the two planes when its projec- tion on the other is parallel to their intersection . If a straight line is oblique to each of the DESCRIPTIVE GEOMETRY .
... equal to it , is also given . It is evident that a straight line is parallel to one of the two planes when its projec- tion on the other is parallel to their intersection . If a straight line is oblique to each of the DESCRIPTIVE GEOMETRY .
Seite 7
... straight lines are in proportion of magnitude and position , when and in the hyperbola ( as will readily appear from ... straight line : that is , if a line to the right be expressed by + a , and an equal line to the left by a , then a ...
... straight lines are in proportion of magnitude and position , when and in the hyperbola ( as will readily appear from ... straight line : that is , if a line to the right be expressed by + a , and an equal line to the left by a , then a ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
a b c 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 pentagon perpendicular Q. E. D. PROPOSITION rectangle a d rectangle contained remaining angle right angles segment shewn square of a c square of eg straight line a b straight line ab straight line bc 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.