A system of practical mathematics; being no.xvi. of a new series of school-books |
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Σελίδα 52
... distance of 300 miles . A travels at the rate of one mile an hour faster than B , and arrives at his journey's end 10 hours before him . At what rate did each travel per hour ? Ans . A travelled 6 miles per hour , and B travelled 5 . 10 ...
... distance of 300 miles . A travels at the rate of one mile an hour faster than B , and arrives at his journey's end 10 hours before him . At what rate did each travel per hour ? Ans . A travelled 6 miles per hour , and B travelled 5 . 10 ...
Σελίδα 100
... distance between the parallels AB , DC . Q. E. D. Def . A rectangle is said to be contained by two of its adjacent sides . Def . The rectangle contained by two lines , is a rec- tangle which has these lines , or lines equal to them ...
... distance between the parallels AB , DC . Q. E. D. Def . A rectangle is said to be contained by two of its adjacent sides . Def . The rectangle contained by two lines , is a rec- tangle which has these lines , or lines equal to them ...
Σελίδα 105
... distance between the middle of the line and the point of unequal section as another , then the greater of the two unequal segments will be the sum , and the less will be the difference of the two lines . PROPOSITION XXXIX . - THEOREM ...
... distance between the middle of the line and the point of unequal section as another , then the greater of the two unequal segments will be the sum , and the less will be the difference of the two lines . PROPOSITION XXXIX . - THEOREM ...
Σελίδα 106
... distance BD of the perpendicular from the obtuse angle ; or AC = AB2 + BC2 + 2AB⚫BD . B For AC - AD + CD2 , since ADC is a rL , ( Prop . 39 ) . But AD2 AB2 + 2AB · BD + BD3 , ( Prop . 37 ) . .. AC AB ' + 2AB BD + BD + CD2 . And BD2 + ...
... distance BD of the perpendicular from the obtuse angle ; or AC = AB2 + BC2 + 2AB⚫BD . B For AC - AD + CD2 , since ADC is a rL , ( Prop . 39 ) . But AD2 AB2 + 2AB · BD + BD3 , ( Prop . 37 ) . .. AC AB ' + 2AB BD + BD + CD2 . And BD2 + ...
Σελίδα 107
... distance AD of the perpendicular from the acute angle CAB . AA 2 A. B DA D B Or CB ' AB ' + AC - 2AB AD . Since BD ... distances , AD , DB , of the perpendicular , from the extre- mities A , B , of the third side AB . Or , AC2 - CB2 ...
... distance AD of the perpendicular from the acute angle CAB . AA 2 A. B DA D B Or CB ' AB ' + AC - 2AB AD . Since BD ... distances , AD , DB , of the perpendicular , from the extre- mities A , B , of the third side AB . Or , AC2 - CB2 ...
Άλλες εκδόσεις - Προβολή όλων
A System of Practical Mathematics: Being No.XVI. of a New Series of School-Books Scottish School-Book Assoc Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD acres altitude annuity base bisected breadth bushels cask cent centre chord circle circumference coefficient common Cosec Cosine cubic denominator depth diagonal diameter difference distance divided divisor draw equal equation EXAMPLE EXERCISES feet figure Find the area Find the sum Find the surface fraction frustum gallons gauge given greater height hence hypotenuse inches LADC latitude least common multiple length less logarithm miles Multiply number of sides parallel Parallel Sailing parallelogram parallelopipeds perpendicular plane Plane Sailing poles polygon prism Prop proportional PROPOSITION pyramid quotient radius ratio remainder right angles RULE sailed SCHOLIUM Secant Cotang segment side AC Sine slant height solid angles specific gravity square root station straight line subtract surd surface and solidity Tang tangent THEOREM trapezium triangle ullage unknown quantities yards
Δημοφιλή αποσπάσματα
Σελίδα 122 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 113 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth : or...
Σελίδα 77 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Σελίδα 78 - 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 82 - ... is supposed . to be divided into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
Σελίδα 78 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 134 - To draw a straight line perpendicular to a plane, from a given point above it. Let A be the given point above the plane BH ; it is required to draw from the point A a straight line perpendicular to the plane BH.
Σελίδα 116 - ... of the base, have the same ratio which the other sides of the triangle have to one...
Σελίδα 69 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Σελίδα 123 - Weigh the denser body and the compound mass, separately, both in water and out of it ; then find how much each loses in water, by subtracting its weight in water from its weight in air ; and subtract the less of these remainders from the greater. Then...