Elements of Geometry |
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Αποτελέσματα 1 - 5 από τα 89.
Σελίδα 3
... the straight - edge in every part will touch the surface , the surfaces are called
Plane Surfaces . The sharp edge in which any two of these surfaces meet is
called a Line . The place at which any three of these lines meet is called a Point .
... the straight - edge in every part will touch the surface , the surfaces are called
Plane Surfaces . The sharp edge in which any two of these surfaces meet is
called a Line . The place at which any three of these lines meet is called a Point .
Σελίδα 5
When reference is had to extent , lines , surfaces , and solids are called
magnitudes . 8 . DEF . A Straight line is a line which has the same direction
throughout its whole extent . 9 . DEF . A Curved line is a line which changes its
direction at ...
When reference is had to extent , lines , surfaces , and solids are called
magnitudes . 8 . DEF . A Straight line is a line which has the same direction
throughout its whole extent . 9 . DEF . A Curved line is a line which changes its
direction at ...
Σελίδα 6
Plane figures formed by straight lines are called rectilinear figures ; those formed
by curved lines are called curvilinear figures ; and those formed by straight and
curved lines are called mixtilinear figures . 17 . Def . Figures which have the
same ...
Plane figures formed by straight lines are called rectilinear figures ; those formed
by curved lines are called curvilinear figures ; and those formed by straight and
curved lines are called mixtilinear figures . 17 . Def . Figures which have the
same ...
Σελίδα 7
If a line , as CB , 4 _ _ 4 _ B , be produced through C , the portions C B and C A
may be regarded as different lines having opposite directions from the point C .
Hence , every straight line , as A B , A _ _ B , has two opposite directions , namely
...
If a line , as CB , 4 _ _ 4 _ B , be produced through C , the portions C B and C A
may be regarded as different lines having opposite directions from the point C .
Hence , every straight line , as A B , A _ _ B , has two opposite directions , namely
...
Σελίδα 9
A Right Angle is an angle included between two straight lines which meet each
other so that the two adjacent angles formed by producing one of the lines А
through the vertex are equal . Thus if the straight line A B meet the straight line
C D so ...
A Right Angle is an angle included between two straight lines which meet each
other so that the two adjacent angles formed by producing one of the lines А
through the vertex are equal . Thus if the straight line A B meet the straight line
C D so ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
acute adjacent altitude arc A B base bisect called centre chord circle circumference circumscribed coincide common Cons construct contained COROLLARY describe diagonals diameter difference direction divided Draw equal distances equal respectively equilateral equivalent erected extremities fall figure formed four given given line greater homologous sides hypotenuse included inscribed intersect isosceles joining less Let A B limit line A B lines drawn mean measured meet middle point multiplied one-half opposite sides parallelogram perimeter perpendicular plane position PROBLEM proportional prove Q. E. D. PROPOSITION quantities radii radius equal ratio rect rectangles regular polygon right angles segment shortest Show similar similar polygons square straight line Substitute subtend surface symmetrical tangent THEOREM triangle variable vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 30 - 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.
Σελίδα 116 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Σελίδα 126 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Σελίδα 197 - Construct a rectangle having the difference of its base and altitude equal to a given line, and its area equivalent to the sum of a given triangle and a given pentagon.
Σελίδα 192 - In any proportion, the product of the means is equal to the product of the extremes.
Σελίδα 132 - If a line divides two sides of a triangle proportionally, it is parallel to the third side.
Σελίδα 165 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 62 - Every point in the bisector of an angle is equally distant from the sides of the angle ; and every point not in the bisector, but within the angle, is unequally distant from the sides of the angle.
Σελίδα 63 - A CIRCLE is a plane figure bounded by a curved line, all the points of which are equally distant from a point within called the centre; as the figure ADB E.
Σελίδα 136 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.