Scientific and practical geometry for self-instruction1879 |
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Side ix
... mode of reasoning , being that of never attempting to grapple with difficulties in the lump , but always in detail . That mode of reasoning will not only directly render it easy to overcome difficulties , but indirectly the overcoming ...
... mode of reasoning , being that of never attempting to grapple with difficulties in the lump , but always in detail . That mode of reasoning will not only directly render it easy to overcome difficulties , but indirectly the overcoming ...
Side x
Rolla Rouse. one difficulty will often suggest the mode of overcoming the next . The habit of so exercising the reasoning powers , will be found as valuable in the difficulties of active life as in those having relation to geometry , and ...
Rolla Rouse. one difficulty will often suggest the mode of overcoming the next . The habit of so exercising the reasoning powers , will be found as valuable in the difficulties of active life as in those having relation to geometry , and ...
Side xiii
... modes of partitions , but almost endless varieties might be introduced for pleasurable mental exercise . Having taken very great pains in preparing the cor- responding Division in my " Practical Geometry , " I have in great measure ...
... modes of partitions , but almost endless varieties might be introduced for pleasurable mental exercise . Having taken very great pains in preparing the cor- responding Division in my " Practical Geometry , " I have in great measure ...
Side xiv
... mode of ascertaining directly the proportions in the sides of any triangle ( page 177 , & c . ) . Throughout the work , I have endeavoured to make the demonstrations so clear as to be understood by anyone who has never before studied ...
... mode of ascertaining directly the proportions in the sides of any triangle ( page 177 , & c . ) . Throughout the work , I have endeavoured to make the demonstrations so clear as to be understood by anyone who has never before studied ...
Side 19
... mode of obtaining the results of parallels is adopted ; not merely from the direct advantages incidental to such use , but , as before remarked , to limit the number of tools as much as possible , and thus by using only a few tools to ...
... mode of obtaining the results of parallels is adopted ; not merely from the direct advantages incidental to such use , but , as before remarked , to limit the number of tools as much as possible , and thus by using only a few tools to ...
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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...
Side 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.
Side 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.
Side 96 - Any two sides of a triangle are together greater than the third side.
Side 73 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Side 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.
Side 14 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Side 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.
Side 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.
Side 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.