A Text-book of GeometryGinn, 1888 - 386 páginas |
Dentro del libro
Resultados 1-5 de 46
Página iv
... particular directio construction of the figures , begins a new line ; and in no necessary to turn the page in reading a demonstration . This arrangement presents obvious advantages . The pupil at once what is given and what is required ...
... particular directio construction of the figures , begins a new line ; and in no necessary to turn the page in reading a demonstration . This arrangement presents obvious advantages . The pupil at once what is given and what is required ...
Página v
... line and angle named . He should b encouraged , in reviewing each Book , to ... give well - considered answer to questions which may be asked him on many ... given by multiplying a constant into the approximate values of an repetend ...
... line and angle named . He should b encouraged , in reviewing each Book , to ... give well - considered answer to questions which may be asked him on many ... given by multiplying a constant into the approximate values of an repetend ...
Página 6
... line . 37. If any point C be taken in a given straight lin two parts CA and CB are said to have opposite direc- tions from the point C. A- FIG . 5 . 38. Every straight line , as AB , may be considere ing opposite directions , namely ...
... line . 37. If any point C be taken in a given straight lin two parts CA and CB are said to have opposite direc- tions from the point C. A- FIG . 5 . 38. Every straight line , as AB , may be considere ing opposite directions , namely ...
Página 7
... lines . The two lines are called the sides of the angle , and the point where the sides meet is called the vertex of the angle . 41. If there is but one angle at a given vertex , it is designated by a cap- ital letter placed at the ...
... lines . The two lines are called the sides of the angle , and the point where the sides meet is called the vertex of the angle . 41. If there is but one angle at a given vertex , it is designated by a cap- ital letter placed at the ...
Página 17
... given point in a given straight line one nornandicular and only one can be erected 90. If two adjacent angles have their ext in a 1 to PLANE GEOMETRY . PLANE GEOMETRY THE STRAIGHT LINE THE STRAIGHT LINE 1.
... given point in a given straight line one nornandicular and only one can be erected 90. If two adjacent angles have their ext in a 1 to PLANE GEOMETRY . PLANE GEOMETRY THE STRAIGHT LINE THE STRAIGHT LINE 1.
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Términos y frases comunes
AB² ABCD AC² acute angle adjacent angles altitude angle formed angles are equal base bisector bisects called centre chord circumference circumscribed coincide construct a square 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 length line drawn line joining measured by arc middle points number of sides obtuse opposite sides parallel parallelogram perimeter perpendicular PROPOSITION prove Proof 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
Pasajes populares
Página 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...
Página 69 - The exterior angles of a polygon, made by producing each of its sides in succession, are together equal to four right angles.
Página 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.
Página 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.
Página 201 - To construct a parallelogram equivalent to a given square, and having the sum of its base and altitude equal to a given line.
Página 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.
Página 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.
Página 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.
Página 156 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 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.