A system of practical mathematics; being no.xvi. of a new series of school-books |
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Αποτελέσματα 1 - 5 από τα 89.
Σελίδα 82
... base ; and the remaining side is called the perpendicular . 48. In a triangle which is not right - angled , any side may be called the base ; the intersection of the other two sides is called the vertex ; and the angle at that point the ...
... base ; and the remaining side is called the perpendicular . 48. In a triangle which is not right - angled , any side may be called the base ; the intersection of the other two sides is called the vertex ; and the angle at that point the ...
Σελίδα 87
... base will also be equal . For , the two Ls CAB , BAE , are together two rLs , ( Prop . 1 ) , and the two Ls CBA and ABF are also toge- ther to two Ls ; .. the two Ls CAB , BAE , are the two Ls CBA , ABF , ( Ax . 1 ) ; and it was proved ...
... base will also be equal . For , the two Ls CAB , BAE , are together two rLs , ( Prop . 1 ) , and the two Ls CBA and ABF are also toge- ther to two Ls ; .. the two Ls CAB , BAE , are the two Ls CBA , ABF , ( Ax . 1 ) ; and it was proved ...
Σελίδα 88
... base , and cuts it at right angles . For , the As ACD and BCD were shown to be equal in every respect ; .. AD is = BD , and LADC is = BDC , and they are adjacent Ls ; hence ( Def . 9 ) each of them is a right angle . Cor . 3. Every ...
... base , and cuts it at right angles . For , the As ACD and BCD were shown to be equal in every respect ; .. AD is = BD , and LADC is = BDC , and they are adjacent Ls ; hence ( Def . 9 ) each of them is a right angle . Cor . 3. Every ...
Σελίδα 89
... base , it might be shown in the same man- ner , that the LBCG , which is the LACD , ( Prop . 3 ) , is the LABC ; .. the LACD is either of the LSCAB or ABC . Q. E. D. Cor . Any two angles of a triangle are together less than two right ...
... base , it might be shown in the same man- ner , that the LBCG , which is the LACD , ( Prop . 3 ) , is the LABC ; .. the LACD is either of the LSCAB or ABC . Q. E. D. Cor . Any two angles of a triangle are together less than two right ...
Σελίδα 91
... base AB would be the base DE , which it is not , .. the LACB is the LDFE . PROPOSITION XVI . - THEOREM . If a straight line , HF , fall upon two other straight lines , AB , CD , and make A the alternate angles AEF , EFD , equal c to one ...
... base AB would be the base DE , which it is not , .. the LACB is the LDFE . PROPOSITION XVI . - THEOREM . If a straight line , HF , fall upon two other straight lines , AB , CD , and make A the alternate angles AEF , EFD , equal c to one ...
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...