Elements of Geometry |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 10
Hence the whole angular magnitude about a point in a plane is equal to four right
angles , and the angular magnitude about a point on one side of a straight line
drawn through that point is equal to two right angles . H — A Fig . 1 . Fig .
Hence the whole angular magnitude about a point in a plane is equal to four right
angles , and the angular magnitude about a point on one side of a straight line
drawn through that point is equal to two right angles . H — A Fig . 1 . Fig .
Σελίδα 11
1 , is equal to four right angles ; and the sum of all the angles about a point on
one side of a straight line drawn through that point , as A OB + BOC + COD , etc . ,
Fig . 2 , is equal to two right angles . Hence two adjacent angles , O C A and OC
B ...
1 , is equal to four right angles ; and the sum of all the angles about a point on
one side of a straight line drawn through that point , as A OB + BOC + COD , etc . ,
Fig . 2 , is equal to two right angles . Hence two adjacent angles , O C A and OC
B ...
Σελίδα 15
If two straight lines cut one another , the four angles which they make at the point
of intersection are together equal to four right angles . PROPOSITION II .
THEOREM . 51 . When the sum PERPENDICULAR AND OBLIQUE LINES . 15.
If two straight lines cut one another , the four angles which they make at the point
of intersection are together equal to four right angles . PROPOSITION II .
THEOREM . 51 . When the sum PERPENDICULAR AND OBLIQUE LINES . 15.
Σελίδα 58
A Quadrilateral is a plane figure bounded by four straight lines . 123 . DEF . A
Trapezium is a quadrilateral which has no two sides parallel . 124 . DEF . A
Trapezoid is a quadrilateral which has two sides parallel 125 . DEF . A
Parallelogram is a ...
A Quadrilateral is a plane figure bounded by four straight lines . 123 . DEF . A
Trapezium is a quadrilateral which has no two sides parallel . 124 . DEF . A
Trapezoid is a quadrilateral which has two sides parallel 125 . DEF . A
Parallelogram is a ...
Σελίδα 69
A polygon of three sides is a Trigon or Triangle ; one of four sides is a Tetragon or
Quadrilateral ; one of five sides is a Pentagon ; one of six sides is a Hexagon ;
one of seven sides is a Heptagon ; one of eight sides is an Octagon ; one of ten ...
A polygon of three sides is a Trigon or Triangle ; one of four sides is a Tetragon or
Quadrilateral ; one of five sides is a Pentagon ; one of six sides is a Hexagon ;
one of seven sides is a Heptagon ; one of eight sides is an Octagon ; one of ten ...
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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'.