Scientific and practical geometry for self-instruction1879 |
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Σελίδα viii
... equivalent figures with different bases , sides , altitudes , or angles , and , in fact , almost all the ... Equivalents , or figures equal in area , whatever may be their difference in form . D. Differ entials . E. Measurement of angles ...
... equivalent figures with different bases , sides , altitudes , or angles , and , in fact , almost all the ... Equivalents , or figures equal in area , whatever may be their difference in form . D. Differ entials . E. Measurement of angles ...
Σελίδα ix
... equivalent . " In Euclid no less than four Propositions ( 35 to 38 ) are given to attempt the results obtainable under Sect . 17 , and yet leaving the most important case unprovided for , namely , equal bases and equidistant parallels ...
... equivalent . " In Euclid no less than four Propositions ( 35 to 38 ) are given to attempt the results obtainable under Sect . 17 , and yet leaving the most important case unprovided for , namely , equal bases and equidistant parallels ...
Σελίδα x
... equivalent with the squares on the two sides which include the right angle ( the base and perpendicular ) . " It is scarcely possible to over - estimate the value of this proposition and of the deductions which may be made from it , if ...
... equivalent with the squares on the two sides which include the right angle ( the base and perpendicular ) . " It is scarcely possible to over - estimate the value of this proposition and of the deductions which may be made from it , if ...
Σελίδα xi
... 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 , are proved ( also by Sect . 17 ) ...
... 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 , are proved ( also by Sect . 17 ) ...
Σελίδα 10
... equivalent or equal in area ; thus , the square of 4 inches , being 16 inches , will be equivalent with a rectangle 8 by 2 ; and in geometrical operations the symbol of equality may be used , its limited application being obvious , and ...
... equivalent or equal in area ; thus , the square of 4 inches , being 16 inches , will be equivalent with a rectangle 8 by 2 ; and in geometrical operations the symbol of equality may be used , its limited application being obvious , and ...
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.