A course of practical geometry for mechanicsSimpkin and Marshall, 1843 - 68 páginas |
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Página 4
... reason more acutely , more correctly , and with more moral effect , than the adoption of any other merely human system ever discovered . Geometry is divided into two parts , called Theo- retical , and Practical : the first comprises the ...
... reason more acutely , more correctly , and with more moral effect , than the adoption of any other merely human system ever discovered . Geometry is divided into two parts , called Theo- retical , and Practical : the first comprises the ...
Página 49
... reason is given , to justify the processes employed . These reasons should be committed to memory ; for though the demonstrations of the rules them- selves are not added ; yet , as the student may depend upon the rules , he can satisfy ...
... reason is given , to justify the processes employed . These reasons should be committed to memory ; for though the demonstrations of the rules them- selves are not added ; yet , as the student may depend upon the rules , he can satisfy ...
Página 50
... reason of this is , because triangles upon the same base , and between the same parallels being equal to one another , ( Prob XXXVII . Bk . I. Euclid , ) the triangle AG D is equal to the triangle AED ; and the triangle BFD is also ...
... reason of this is , because triangles upon the same base , and between the same parallels being equal to one another , ( Prob XXXVII . Bk . I. Euclid , ) the triangle AG D is equal to the triangle AED ; and the triangle BFD is also ...
Página 51
... Reason : because " Triangles upon the same base , ( or upon equal bases , ) and between the same parallels , ( or of equal altitudes , ) are equal to one another . " PROBLEM LX . To make an isosceles triangle equal to any scalene ...
... Reason : because " Triangles upon the same base , ( or upon equal bases , ) and between the same parallels , ( or of equal altitudes , ) are equal to one another . " PROBLEM LX . To make an isosceles triangle equal to any scalene ...
Página 52
... reason , vide Prob . LVIII . EXAMPLES . 1. Make a triangle equal to the trapezium A D C B , in Prob . LVI . 2. Draw a rhombus as KOIV , Prob . LV . , and make any triangle equal to it . PROBLEM LXII . To make a triangle equal to a given ...
... reason , vide Prob . LVIII . EXAMPLES . 1. Make a triangle equal to the trapezium A D C B , in Prob . LVI . 2. Draw a rhombus as KOIV , Prob . LV . , and make any triangle equal to it . PROBLEM LXII . To make a triangle equal to a given ...
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Términos y frases comunes
60 degrees altitude angle equal arc or angle Bisect called centre chords shall form circumference curvilineal cutting A B decagon describe a circle describe a regular describe an arc describe arcs cutting diagonals diameter dodecagon Draw a line Draw chords draw lines Draw the line ellipse equilateral triangle Euclid Euclid's Elements EXAMPLE generatrix geometry given angle given circle given line given point given right line given triangle gonals heptagon inches long inscribe isosceles triangle Join length Let A B line 2 inches line A B line parallel LVIII number of degrees number of equal parallel ruler parallelogram pentagon perpendicular plane point of intersection protractor radii radius ratio rectangle regular nonagon regular polygon rhombus right angles right-angled triangle segment square equal straight line superficies tangent trapezium triangle being given triangle equal triangle required vertex vertical angle Vide Def vide Prob
Pasajes populares
Página 8 - A plane rectilineal angle is the inclination of two straight lines to one another, -which meet together, but are not in the same straight line.
Página 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 9 - CHG; and they are adjacent angles; but when a straight line standing on another straight line makes the adjacent angles equal to one another...
Página 9 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another.
Página 13 - Of four-sided figures, a SQUARE is that which has all its sides equal, and all its angles right angles.
Página 9 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Página 14 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Página 8 - A plane angle is the inclination of two lines to one another* in a plane, which meet together, but are not in the same direction.
Página 13 - A rhomboid, is that which has its opposite sides equal to one another, but all its sides are not equal, nor its angles right angles.
Página 8 - DBC, or CBD ; but, if there be only one angle at a point, it may be expressed by a letter placed at that point ; as the angle at E.