Scientific and practical geometry for self-instruction1879 |
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Page v
... demonstrations , that I believe a woman might learn more from this work in one week than the average of men would learn in four . Originally I commenced the work as a mere instructional work on plane geometry , under the impression that ...
... demonstrations , that I believe a woman might learn more from this work in one week than the average of men would learn in four . Originally I commenced the work as a mere instructional work on plane geometry , under the impression that ...
Page vii
... demonstrations might be deduced . From the almost unlimited power of parallels in geome- trical operations , I am surprised that it has never occurred to writers on geometry to adopt parallels ( or rather cross parallels ) as the ...
... demonstrations might be deduced . From the almost unlimited power of parallels in geome- trical operations , I am surprised that it has never occurred to writers on geometry to adopt parallels ( or rather cross parallels ) as the ...
Page ix
... demonstrations in geometry are de- duced from Sectns . 17 and 27 in Div . C and a simple application of parallels . In Div . C ( commencing the scientific portion of the work ) the earlier Sections and figures introduce and show the ...
... demonstrations in geometry are de- duced from Sectns . 17 and 27 in Div . C and a simple application of parallels . In Div . C ( commencing the scientific portion of the work ) the earlier Sections and figures introduce and show the ...
Page x
... demonstration is also confined to one side of the figure , the length of that demonstration being such , that the student is left to work the other half at equal length himself , or take it as demonstrated . The proof is also attempted ...
... demonstration is also confined to one side of the figure , the length of that demonstration being such , that the student is left to work the other half at equal length himself , or take it as demonstrated . The proof is also attempted ...
Page xi
... demonstration I give more clear and direct than that in Euclid , but it naturally suggests a deduction of the very greatest importance in geometrical operations , though not given in Euclid - namely , that " The squares on the two sides ...
... demonstration I give more clear and direct than that in Euclid , but it naturally suggests a deduction of the very greatest importance in geometrical operations , though not given in Euclid - namely , that " The squares on the two sides ...
Common terms and phrases
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
Popular passages
Page 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...
Page 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.
Page 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.
Page 96 - Any two sides of a triangle are together greater than the third side.
Page 73 - Parallelograms on the same base, and between the same parallels, are equal to one another.
Page 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.
Page 14 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Page 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.
Page 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.
Page 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.