Scientific and practical geometry for self-instruction1879 |
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Σελίδα viii
... figures into equivalent figures with different bases , sides , altitudes , or angles , and , in fact , almost all the propositions in geome- trical operations . The present work is arranged in the following Divisions : -A and B the ...
... figures into equivalent figures with different bases , sides , altitudes , or angles , and , in fact , almost all the propositions in geome- trical operations . The present work is arranged in the following Divisions : -A and B the ...
Σελίδα ix
... figures with different alti- tudes , bases , & c . The Sections relative to conversion of figures in this and the other Divisions are not only interesting geometrically , but the operations are of great value as exercises of the mind in ...
... figures with different alti- tudes , bases , & c . The Sections relative to conversion of figures in this and the other Divisions are not only interesting geometrically , but the operations are of great value as exercises of the mind in ...
Σελίδα x
... figure and demonstration in Euclid may probably ac- count for the comparatively little use made of the proposi- tion and of the deductions from it . In Euclid the triangle is so placed that the hypothenuse appears at the base , and the ...
... figure and demonstration in Euclid may probably ac- count for the comparatively little use made of the proposi- tion and of the deductions from it . In Euclid the triangle is so placed that the hypothenuse appears at the base , and the ...
Σελίδα xii
... figures ; it comprises a number of interesting and useful propositions , chiefly deduced from French works , except ... figures , great care has been taken to treat the subject , both scientifically and practically , as fully and clearly ...
... figures ; it comprises a number of interesting and useful propositions , chiefly deduced from French works , except ... figures , great care has been taken to treat the subject , both scientifically and practically , as fully and clearly ...
Σελίδα 4
... figure may be in part bounded by right lines and in part by curved lines . 9. Plane Figures bounded by right lines have names according to the sides or their angles , as they have as many sides as angles , the least number being 3 . 10.
... figure may be in part bounded by right lines and in part by curved lines . 9. Plane Figures bounded by right lines have names according to the sides or their angles , as they have as many sides as angles , the least number being 3 . 10.
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.