Scientific and practical geometry for self-instruction1879 |
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Σελίδα viii
... the practical application . By this arrangement a student may know at once to what Division to refer , to meet the subject of any geometrical pro- blem to be solved . In going through the work , reference will often be viii INTRODUCTION .
... the practical application . By this arrangement a student may know at once to what Division to refer , to meet the subject of any geometrical pro- blem to be solved . In going through the work , reference will often be viii INTRODUCTION .
Σελίδα ix
... geometrically , but the operations are of great value as exercises of the mind in the most valuable mode of reasoning , being that of never attempting to grapple with difficulties in the lump , but always in detail . That mode of ...
... geometrically , but the operations are of great value as exercises of the mind in the most valuable mode of reasoning , being that of never attempting to grapple with difficulties in the lump , but always in detail . That mode of ...
Σελίδα xi
... geometrical operations , though not given in Euclid - namely , that " The squares on the two sides bear the same proportion to the adjoining seg- ments of the hypothenuse as the square on the hypothenuse bears to the whole line . " This ...
... geometrical operations , though not given in Euclid - namely , that " The squares on the two sides bear the same proportion to the adjoining seg- ments of the hypothenuse as the square on the hypothenuse bears to the whole line . " This ...
Σελίδα xiii
... geometrical exercises , partitions are most interesting , and the operations almost entirely depending on Sect . 17 , Div . C , even a young student may readily solve problems in this most interesting Division . I give many interesting ...
... geometrical exercises , partitions are most interesting , and the operations almost entirely depending on Sect . 17 , Div . C , even a young student may readily solve problems in this most interesting Division . I give many interesting ...
Σελίδα 2
... geometrical operations , unless otherwise stated , the term " Parallels " is understood to mean right - lined parallels . Oblique , when changing their distance , and which would meet on the side of the least distance if continued ...
... geometrical operations , unless otherwise stated , the term " Parallels " is understood to mean right - lined parallels . Oblique , when changing their distance , and which would meet on the side of the least distance if continued ...
Συχνά εμφανιζόμενοι όροι και φράσεις
ab² abcd ac² adjacent angles altitude angles equal angles Sect Application axis bisected centre chord circle circumference consequently construction continued contour corresponding angles cutting deduction demonstration diagonal diameter distance divided division draw arc draw line draw the indefinite drawn ellipse equal angles equal bases equal Sect equal sides equidistant equivalent triangle Euclid example exterior angle external angle four right angles frustrum geometrical operations give greater hypothenuse inches included angle indefinite line isosceles triangle length Let abc let fall line ac line cd mark measure half mode Multiply number of sides oblique opposed angle parallel ruler parallelogram pendicular polygons proof proposition radii ratio rectangle reflex angle rhombus right line rule in Sect secant Sectns segment semicircle set square side ab side ac similar triangles slant height summit supplementary angles tangent third side trapezium triangle abc
Δημοφιλή αποσπάσματα
Σελίδα 14 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 8 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 7 - A circle is a plane figure bounded by a curved line called the circumference, every point of which is equally distant from a point within called the center, Fig.
Σελίδα 96 - Any two sides of a triangle are together greater than the third side.
Σελίδα 73 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Σελίδα 278 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 14 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Σελίδα 266 - A sphere is a solid, bounded by a curved surface, every part of which is equally distant from a point within, called the centre.
Σελίδα 45 - From a given point without a line, to draw a perpendicular to that line. Let AB be the given line, and C the given point. From C draw any oblique line, as Cn.
Σελίδα 9 - The sign, + , which is read plus, indicates that the numbers between which it is placed are to be added ; thus, 6 + 4, means, that 4 is to be added to 6.