Pure mathematics, Τόμος 11874 |
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Αποτελέσματα 1 - 5 από τα 88.
Σελίδα 7
... QUANTITIES , ,, IV . — THE METRIC SYSTEM , " " 99 V. - PROPORTION , VI . - APPLICATION TO ORDINARY QUESTIONS OF COM- MERCE AND TRADE , MISCELLANEOUS EXAMPLES , . 6 16 42 49 61 85 888 68 SECTION II . - GEOMETRY . EUCLID'S ELEMENTS , BOOK ...
... QUANTITIES , ,, IV . — THE METRIC SYSTEM , " " 99 V. - PROPORTION , VI . - APPLICATION TO ORDINARY QUESTIONS OF COM- MERCE AND TRADE , MISCELLANEOUS EXAMPLES , . 6 16 42 49 61 85 888 68 SECTION II . - GEOMETRY . EUCLID'S ELEMENTS , BOOK ...
Σελίδα 16
... quantity has been divided , and the upper number , how many of those parts are taken . Thus is a fraction , and ... quantity expressed is actually less than a whole . The quantity is therefore a real or proper fraction . Again , when the ...
... quantity has been divided , and the upper number , how many of those parts are taken . Thus is a fraction , and ... quantity expressed is actually less than a whole . The quantity is therefore a real or proper fraction . Again , when the ...
Σελίδα 17
... quantity which is itself fractional , as 1⁄2 of 24 , 24 of 6 of % 3 73 6. In the preceding article we have spoken of ... quantities with regard to magnitude . There are two kinds of ratios - ratio by difference or subtraction , and ratio ...
... quantity which is itself fractional , as 1⁄2 of 24 , 24 of 6 of % 3 73 6. In the preceding article we have spoken of ... quantities with regard to magnitude . There are two kinds of ratios - ratio by difference or subtraction , and ratio ...
Σελίδα 18
... quantities are reduced to the same denomination , we may treat the quantities as abstract , just as we find the quotient of one concrete quantity by another , by reducing them both to the same denomination , and dividing as if they were ...
... quantities are reduced to the same denomination , we may treat the quantities as abstract , just as we find the quotient of one concrete quantity by another , by reducing them both to the same denomination , and dividing as if they were ...
Σελίδα 19
... quantity is not altered in value . Suppose , for example , we multiply the numerator and de- nominator of the fraction each by 4 , we get = . Now the ratio of 3 : 7 is , from the definition of a ratio , four times as small as the ratio ...
... quantity is not altered in value . Suppose , for example , we multiply the numerator and de- nominator of the fraction each by 4 , we get = . Now the ratio of 3 : 7 is , from the definition of a ratio , four times as small as the ratio ...
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a²b a²b² a²x² a³b ab² ab³ ABCD adjacent angles algebraical algebraical quantity angle ABC angle BAC angle BCD angle EDF angle equal base BC BC is equal bisect brackets cent centim centre circle ABC coefficient common Const cube root decimal figures denominator distance divided divisor equation expression exterior angle factor Find the value fraction given rectilineal given straight line greater Hence join kilom Let ABC logarithm metres millig Multiply opposite angles parallel parallelogram perpendicular PROOF.-Because Q. E. D. Proposition quotient ratio rectangle contained remainder right angles segment side BC square on AC square root subtraction term triangle ABC x²y x²y² x³y xy² xy³
Δημοφιλή αποσπάσματα
Σελίδα 116 - Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to...
Σελίδα 103 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 113 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 88 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16.
Σελίδα 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Σελίδα 94 - J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
Σελίδα 271 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Σελίδα 91 - 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 112 - IMS the greater base shall be greater t/uin the angle contained by the sides equal to them of the other. Let ABC, DEF, be two triangles, which have The two sides AB, AC...
Σελίδα 128 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.