A system of practical mathematics; being no.xvi. of a new series of school-books |
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Σελίδα 97
... ABCD which has its opposite sides AB and DC equal , and also AD and CB equal , is a parallelogram , or has its opposite A sides parallel . D B ..the For join DB , and then the two As DCB and BAD have the side DC - AB and CB - AD , and ...
... ABCD which has its opposite sides AB and DC equal , and also AD and CB equal , is a parallelogram , or has its opposite A sides parallel . D B ..the For join DB , and then the two As DCB and BAD have the side DC - AB and CB - AD , and ...
Σελίδα 98
... ABCD and EFGH , p and also triangles , CAB and EFG , standing upon equal bases AB and EF , and lying between the ... ABCD , they are on the same base AB , and be- tween the same s AB and DG , ( Prop . 26 ) ; it is also equal to the EFGH ...
... ABCD and EFGH , p and also triangles , CAB and EFG , standing upon equal bases AB and EF , and lying between the ... ABCD , they are on the same base AB , and be- tween the same s AB and DG , ( Prop . 26 ) ; it is also equal to the EFGH ...
Σελίδα 99
... ABCD , EFGH , are equal , which have two sides AB , BC of the one , equal to two sides EF , FG of the other , and the contained angles ABC , EFG also equal . Q. E. D. NN G For , draw the diagonals AC , EG , the As ABC , EFG have the ...
... ABCD , EFGH , are equal , which have two sides AB , BC of the one , equal to two sides EF , FG of the other , and the contained angles ABC , EFG also equal . Q. E. D. NN G For , draw the diagonals AC , EG , the As ABC , EFG have the ...
Σελίδα 100
... ABCD , EFGH , which are doubles of these As , ( Prop . 24 ) , are also equal to each other , ( Ax . 6 ) Q. E. D. Cor . 1. Rectangles contained by equal straight lines are equal to each other . Cor . 2. The squares described on equal ...
... ABCD , EFGH , which are doubles of these As , ( Prop . 24 ) , are also equal to each other , ( Ax . 6 ) Q. E. D. Cor . 1. Rectangles contained by equal straight lines are equal to each other . Cor . 2. The squares described on equal ...
Σελίδα 143
... ABCD , EFGH , of a parallelopi- ped ABCD - EFGH , are similar and equal parallelograms , and the diagonal plane divides it into two equal and simi- lar prisms . For , since the opposite planes , AF , DG , are parallel , and cut by a ...
... ABCD , EFGH , of a parallelopi- ped ABCD - EFGH , are similar and equal parallelograms , and the diagonal plane divides it into two equal and simi- lar prisms . For , since the opposite planes , AF , DG , are parallel , and cut by a ...
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...