Scientific and practical geometry for self-instruction1879 |
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Σελίδα xiv
... semicircles as in Fig . 2 A , the equality of radii will obviously demonstrate the proposition . The greater portions of this work are entirely new , in- cluding the introduction of the scientific base ; the demonstra- tion in Sect . 27 ...
... semicircles as in Fig . 2 A , the equality of radii will obviously demonstrate the proposition . The greater portions of this work are entirely new , in- cluding the introduction of the scientific base ; the demonstra- tion in Sect . 27 ...
Σελίδα 7
... Semicircle , a segment of which the chord passes through the centre , and is thus a diameter ( abca ) . Sector , the space contained between two radii and their intercepted arc ( kflk ) . Quadrant , a sector containing one - fourth of a ...
... Semicircle , a segment of which the chord passes through the centre , and is thus a diameter ( abca ) . Sector , the space contained between two radii and their intercepted arc ( kflk ) . Quadrant , a sector containing one - fourth of a ...
Σελίδα 8
... semicircle 180 degrees . Degrees are marked ° , minutes , seconds " . These divisions are , however , of little importance as regards ordinary geometrical operations , though of continuing use in trigonometry . 21. An Ellipse is a plane ...
... semicircle 180 degrees . Degrees are marked ° , minutes , seconds " . These divisions are , however , of little importance as regards ordinary geometrical operations , though of continuing use in trigonometry . 21. An Ellipse is a plane ...
Σελίδα 19
... , and which is based on the angles in a semicircle being all right angles ( Div . E , Sect . 36 ) . Application 1. From point a in line xy to raise a per- pendicular line . From a , with any length and at any angle C 2 SECTIONS 6 TO 12 .
... , and which is based on the angles in a semicircle being all right angles ( Div . E , Sect . 36 ) . Application 1. From point a in line xy to raise a per- pendicular line . From a , with any length and at any angle C 2 SECTIONS 6 TO 12 .
Σελίδα 22
... semicircle ( Fig . B 5 ) . Let cd be the line to which , through point a , a parallel is to be drawn . From a , at any oblique angle , draw line ab touching line cd at any point b . With centre b and radius ba , draw semicircle cad ...
... semicircle ( Fig . B 5 ) . Let cd be the line to which , through point a , a parallel is to be drawn . From a , at any oblique angle , draw line ab touching line cd at any point b . With centre b and radius ba , draw semicircle cad ...
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.