A Text-book of GeometryGinn, 1888 - 386 σελίδες |
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Σελίδα 8
... less than a right an- gle is called an acute angle ; as , angle A. 50. Every angle greater than a right FIG 12 . angle and less than a straight angle is called an obtuse angle ; as , angle C ( Fig . 13 ) . 51. Every angle greater than a ...
... less than a right an- gle is called an acute angle ; as , angle A. 50. Every angle greater than a right FIG 12 . angle and less than a straight angle is called an obtuse angle ; as , angle C ( Fig . 13 ) . 51. Every angle greater than a ...
Σελίδα 9
George Albert Wentworth. 51. Every angle greater than a straight angle and less than two straight angles is called a reflex angle ; as , angle ○ ( Fig . 14 ) . В D A FIG . 13 . FIG 14 52. Acute , obtuse , and reflex angles , in ...
George Albert Wentworth. 51. Every angle greater than a straight angle and less than two straight angles is called a reflex angle ; as , angle ○ ( Fig . 14 ) . В D A FIG . 13 . FIG 14 52. Acute , obtuse , and reflex angles , in ...
Σελίδα 12
... less than ABC ; but if the side EF falls in the direction BH , the angle DEF is greater than ABC . A D This method enables us to add magnitudes of the same kind . Thus , if we have two straight lines AB and CD , by placing the point Con ...
... less than ABC ; but if the side EF falls in the direction BH , the angle DEF is greater than ABC . A D This method enables us to add magnitudes of the same kind . Thus , if we have two straight lines AB and CD , by placing the point Con ...
Σελίδα 16
... less than . .. therefore . O circle . circles . Def ..... definition . Ax . Hyp . axiom . hypothesis . Cor . corollary . Adj ..... adjacent . Iden .... identical . Cons . . . . construction . Sup ..... supplementary . Sup . - adj ...
... less than . .. therefore . O circle . circles . Def ..... definition . Ax . Hyp . axiom . hypothesis . Cor . corollary . Adj ..... adjacent . Iden .... identical . Cons . . . . construction . Sup ..... supplementary . Sup . - adj ...
Σελίδα 41
... less than the third side . In the A ABC ( Fig . 1 ) , AB + BC > AC , for a straight line is the shortest distance between two points ; and by taking away BC from both sides , AB > AC - BC , or AC— BC < AB . PROPOSITION XXIII . THEOREM ...
... less than the third side . In the A ABC ( Fig . 1 ) , AB + BC > AC , for a straight line is the shortest distance between two points ; and by taking away BC from both sides , AB > AC - BC , or AC— BC < AB . PROPOSITION XXIII . THEOREM ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
AB² ABCD AC² acute angle adjacent angles altitude angle formed angles are equal base bisector bisects called centre chord circumference circumscribed coincide decagon diagonals diameter draw equal respectively equiangular equiangular polygon equidistant equilateral polygon equilateral triangle exterior angle feet figure Find the area given circle given line given point given straight line given triangle greater Hence homologous sides hypotenuse inches intersecting isosceles triangle legs line drawn line joining measured by arc middle points number of sides obtuse opposite sides parallel parallelogram perimeter perpendicular PROPOSITION prove Proof Q. E. D. Ex quadrilateral radii ratio rectangle regular inscribed regular polygon rhombus right angle right triangle SCHOLIUM secant segments similar polygons square equivalent straight angle subtended tangent THEOREM third side trapezoid triangle ABC triangle is equal vertex vertices
Δημοφιλή αποσπάσματα
Σελίδα 46 - If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second...
Σελίδα 69 - The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles.
Σελίδα 187 - Two triangles having 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.
Σελίδα 64 - The straight line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of it 46 INTERCEPTS BY PARALLEL LINES.
Σελίδα 201 - To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line.
Σελίδα 215 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Σελίδα 161 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides diminished by twice the product of one of those sides and the projection of the other upon that side.
Σελίδα 135 - 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.
Σελίδα 156 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Σελίδα 15 - LET it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3.