Scientific and practical geometry for self-instruction1879 |
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Σελίδα xiii
... solids , or cubic measure . I intended to have added some remarks on the earlier parts of Euclid's work , to show its unsuitableness for the instruction of young students , but space will not allow INTRODUCTION . xiii.
... solids , or cubic measure . I intended to have added some remarks on the earlier parts of Euclid's work , to show its unsuitableness for the instruction of young students , but space will not allow INTRODUCTION . xiii.
Σελίδα 9
... added together . Thus , 5 + 7 means that 5 and 7 are to be added together . - ( minus ) , indicates that the number placed after it is to be subtracted from that placed before it ; thus , 7 – 5 means that 5 must be subtracted from 7 ...
... added together . Thus , 5 + 7 means that 5 and 7 are to be added together . - ( minus ) , indicates that the number placed after it is to be subtracted from that placed before it ; thus , 7 – 5 means that 5 must be subtracted from 7 ...
Σελίδα 13
... added to equals , the wholes are equal ( A + B = C + B ) . Axiom 3. If equals be taken from equals , the remainders are equal ( A - B - C - B ) . Axiom 4. If equals be added to unequals the wholes are unequal ( Bunequal to D. Then A + B ...
... added to equals , the wholes are equal ( A + B = C + B ) . Axiom 3. If equals be taken from equals , the remainders are equal ( A - B - C - B ) . Axiom 4. If equals be added to unequals the wholes are unequal ( Bunequal to D. Then A + B ...
Σελίδα 47
... added will show the length of diameter to be 30 . Or divide the square of the sine by the versed sine , and the result will be the supplement . Thus 12 x 12 = 144 ÷ 6 = 24 , the length of supplement . This Section may often be applied ...
... added will show the length of diameter to be 30 . Or divide the square of the sine by the versed sine , and the result will be the supplement . Thus 12 x 12 = 144 ÷ 6 = 24 , the length of supplement . This Section may often be applied ...
Σελίδα 54
... added and some deducted . Construction and proof . Div . C , Sect . 44 , and Fig . C 32 . 74. To vary by a card or set square the base or the perpendicular of a rectangle having a given area . For construction and proof . Div . F , 15b ...
... added and some deducted . Construction and proof . Div . C , Sect . 44 , and Fig . C 32 . 74. To vary by a card or set square the base or the perpendicular of a rectangle having a given area . For construction and proof . Div . F , 15b ...
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.