Plane GeometryGinn, 1899 - 256 sider |
Inni boken
Resultat 1-5 av 100
Side iii
... drawn and placed in the middle of the page , so that they fall directly under the eye in immediate connec- tion with the text ; and in no case is it necessary to turn the page in reading a demonstration . Full , long - dashed , and ...
... drawn and placed in the middle of the page , so that they fall directly under the eye in immediate connec- tion with the text ; and in no case is it necessary to turn the page in reading a demonstration . Full , long - dashed , and ...
Side 2
... drawn on paper or on the blackboard , will have some width and some thickness , and will so far fail of being true lines ; yet , when they are used to help the mind in reasoning , it is assumed that they represent true lines , without ...
... drawn on paper or on the blackboard , will have some width and some thickness , and will so far fail of being true lines ; yet , when they are used to help the mind in reasoning , it is assumed that they represent true lines , without ...
Side 8
... drawn from one point to another . 45. Postulate . A straight line can be produced indefinitely . 46. Axiom . * Only one straight line can be drawn from one ! point to another . Hence , two points determine a straight line . 47. COR . 1 ...
... drawn from one point to another . 45. Postulate . A straight line can be produced indefinitely . 46. Axiom . * Only one straight line can be drawn from one ! point to another . Hence , two points determine a straight line . 47. COR . 1 ...
Side 9
... drawn from the same point is called a plane angle . The two lines , ED and EF , are called the sides , and E , F the point of meeting , is called the vertex of the angle . E -D FIG . 7 . The size of an angle depends upon the extent of ...
... drawn from the same point is called a plane angle . The two lines , ED and EF , are called the sides , and E , F the point of meeting , is called the vertex of the angle . E -D FIG . 7 . The size of an angle depends upon the extent of ...
Side 12
... drawn through the point is equal to a straight angle , or two right angles . 74. The whole angular magnitude about a point in a plane is called a perigon ; and two angles whose sum is a perigon are called conjugate angles . NOTE . This ...
... drawn through the point is equal to a straight angle , or two right angles . 74. The whole angular magnitude about a point in a plane is called a perigon ; and two angles whose sum is a perigon are called conjugate angles . NOTE . This ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
AB² ABCD AC² adjacent angles altitude angles are equal apothem arc A'B base bisector bisects called centre chord circumference circumscribed circle coincide decagon diagonals diameter divide Draw equal circles equiangular equiangular polygon equidistant equilateral triangle exterior angle feet Find the area Find the locus given angle given circle given line given point given straight line given triangle greater Hence homologous sides hypotenuse inches inscribed regular intercepted intersecting isosceles trapezoid isosceles triangle legs limit line drawn middle point number of sides parallelogram perimeter perpendicular plane PROBLEM Proof prove Q. E. D. Ex Q. E. D. PROPOSITION quadrilateral radii radius ratio rectangle regular hexagon regular inscribed regular polygon rhombus right angle right triangle secant segments straight angle supplementary tangent THEOREM third side trapezoid triangle ABC triangles are equal variable vertex
Populære avsnitt
Side 35 - The sum of two sides of a triangle is greater than the third side, and their difference is less than the third side.
Side 152 - If two triangles have an angle of the one equal to an angle of the other, and the including sides proportional, they are similar. In the triangles ABC and A'B'C', let ZA = Z A', and let AB : A'B' = AC : A'C'. To prove that the A ABC and A'B'C
Side 68 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Side 193 - 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. To prove that Proof. A Let the triangles ABC and ADE have the common angle A. A ABC -AB X AC Now and A ADE AD X AE Draw BE.
Side 171 - In any triangle the product of two sides is equal to the product of the diameter of the circumscribed circle by the altitude upon the third side.
Side 34 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Side 73 - The sum of the perpendiculars dropped from any point within an equilateral triangle to the three sides is constant, and equal to the altitude.
Side 158 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Side 77 - PERIPHERY of a circle is its entire bounding line ; or it is a curved line, all points of which are equally distant from a point within called the centre.
Side 164 - The sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse.