Scientific and practical geometry for self-instruction1879 |
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Σελίδα ix
... Sect . 17 , and yet leaving the most important case unprovided for , namely , equal bases and equidistant parallels . Sectns . 18 to 25 follow out the base started with , by numerous interesting applications of Sect . 17 , and ...
... Sect . 17 , and yet leaving the most important case unprovided for , namely , equal bases and equidistant parallels . Sectns . 18 to 25 follow out the base started with , by numerous interesting applications of Sect . 17 , and ...
Σελίδα xi
... Sect . 17 ) to be re- spectively equivalent with a given parallelogram ( A ) , and therefore equivalent between themselves ( Axiom 1 ) ; and then the rectangle completing the square on the hypothenuse , and the square on the third side ...
... Sect . 17 ) to be re- spectively equivalent with a given parallelogram ( A ) , and therefore equivalent between themselves ( Axiom 1 ) ; and then the rectangle completing the square on the hypothenuse , and the square on the third side ...
Σελίδα 5
... Sect . 31 post , and in these triangles the angles are also unequal . 11. As regards the variation in angles . Acute - Angled Triangles have every angle less than a right angle ( ade , agc ) . Right - Angled Triangles have one of the ...
... Sect . 31 post , and in these triangles the angles are also unequal . 11. As regards the variation in angles . Acute - Angled Triangles have every angle less than a right angle ( ade , agc ) . Right - Angled Triangles have one of the ...
Σελίδα 25
... Sect . 18 post for the dividing a line into any number of equal or proportional parts ; but as the bisection of a line is so often required in geometrical operations , it is thought better to give separately the rule for the division ...
... Sect . 18 post for the dividing a line into any number of equal or proportional parts ; but as the bisection of a line is so often required in geometrical operations , it is thought better to give separately the rule for the division ...
Σελίδα 26
... Sect . 13 . 17. TO BISECT A CHORD OR AN ARC ( Fig . B 14 ) . Let ab mark the chord and acb the arc . By Sect . 15 bisect the chord ( at d ) , and through d ( Sect . 12 ) draw the perpendicular xy in both directions , and it will bisect ...
... Sect . 13 . 17. TO BISECT A CHORD OR AN ARC ( Fig . B 14 ) . Let ab mark the chord and acb the arc . By Sect . 15 bisect the chord ( at d ) , and through d ( Sect . 12 ) draw the perpendicular xy in both directions , and it will bisect ...
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.