Scientific and practical geometry for self-instruction1879 |
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Page vii
... in geometry may be deduced . From that base , the deductions , to state only a few of them , comprise the equality of opposite or corresponding angles , or alternate angles on same side of parallels INTRODUCTION . vii.
... in geometry may be deduced . From that base , the deductions , to state only a few of them , comprise the equality of opposite or corresponding angles , or alternate angles on same side of parallels INTRODUCTION . vii.
Page xiii
... corresponding Divi- sion in " Practical Geometry ; " and although not strictly within the original scope of the present work , I have retained the parts applicable to the measurement of dis- tances , altitudes , and angles , and also of ...
... corresponding Divi- sion in " Practical Geometry ; " and although not strictly within the original scope of the present work , I have retained the parts applicable to the measurement of dis- tances , altitudes , and angles , and also of ...
Page 12
... corresponding parallels in the various steps of an operation are marked thus , 1 and 1 ' for the first pair , 2 and 2 ' for the second pair , & c . 28. The following terms are also used in geometry , and are mainly stated from an old ...
... corresponding parallels in the various steps of an operation are marked thus , 1 and 1 ' for the first pair , 2 and 2 ' for the second pair , & c . 28. The following terms are also used in geometry , and are mainly stated from an old ...
Page 35
... corresponding angles the angles in ahik will be equal to those in abcd ( C , Sect . 6 ) , and which are right angles by construction , and the sides equal as proportionals ( F 11 ) , cb : ba : ih : ha and cb = ba : ih = ha , and the ...
... corresponding angles the angles in ahik will be equal to those in abcd ( C , Sect . 6 ) , and which are right angles by construction , and the sides equal as proportionals ( F 11 ) , cb : ba : ih : ha and cb = ba : ih = ha , and the ...
Page 49
... corresponding points above and on the other side of the minor axis st . In the like manner any number of points in the curve of the ellipse may be found , and through those points the curve of the ellipse must be drawn . E ( 4 ) The ...
... corresponding points above and on the other side of the minor axis st . In the like manner any number of points in the curve of the ellipse may be found , and through those points the curve of the ellipse must be drawn . E ( 4 ) The ...
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.