Key to System of practical mathematics. 2 pt. No.xvii |
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Página 63
... triangle ABC , at Ls ; the straight line IF drawn from the point of their intersection I , to the third side BC , will bisect it . - = E F D C For join AI , BI , CI ; then the B As AEI , BEI , have BE = AE , and EI common to both , and ...
... triangle ABC , at Ls ; the straight line IF drawn from the point of their intersection I , to the third side BC , will bisect it . - = E F D C For join AI , BI , CI ; then the B As AEI , BEI , have BE = AE , and EI common to both , and ...
Página 65
... triangles , having their angles together equal to the angles of the quadrilate- ral figure ; .. all the angles of the quadrilateral figure are together four Ls , and .. any two adjacent angles , as DAB , ABC , are together equal to two ...
... triangles , having their angles together equal to the angles of the quadrilate- ral figure ; .. all the angles of the quadrilateral figure are together four Ls , and .. any two adjacent angles , as DAB , ABC , are together equal to two ...
Página 66
... triangle ABC is thus divided into four equal As , ADE , DBG , GDE , and EGC , and AADE , cut off by the line DE , is a fourth part of the ДАВС . = .. the Q. E. D. 11. Let ABCD be a rLd the diagonal AC is the diago- nal BD . For AD is BC ...
... triangle ABC is thus divided into four equal As , ADE , DBG , GDE , and EGC , and AADE , cut off by the line DE , is a fourth part of the ДАВС . = .. the Q. E. D. 11. Let ABCD be a rLd the diagonal AC is the diago- nal BD . For AD is BC ...
Página 67
... triangle ABD , and hence the remaining EBIH is half of the AABD ; but the EBIH is the EKLH , ( Prop . 26 ) , being on the same base EH , and between the same parallels EH and BD . For a like reason the KFGL is half of the ACBD ; .. the ...
... triangle ABD , and hence the remaining EBIH is half of the AABD ; but the EBIH is the EKLH , ( Prop . 26 ) , being on the same base EH , and between the same parallels EH and BD . For a like reason the KFGL is half of the ACBD ; .. the ...
Página 68
... triangle , having the angle , ABC , two- thirds of two right angles , the square on AC will be equal to the squares on AB , BC , toge- ther with the rectangle con- tained by AB , BC . Produce A Q. E. D. E B F C AB to E , and from C draw ...
... triangle , having the angle , ABC , two- thirds of two right angles , the square on AC will be equal to the squares on AB , BC , toge- ther with the rectangle con- tained by AB , BC . Produce A Q. E. D. E B F C AB to E , and from C draw ...
Términos y frases comunes
a+b+c AABC ABCD acres base binomial theorem bisected centre changing the signs chord circle circumference coefficients collecting the terms completing the square cosec denominator diameter difference distance dividing divisor equal extracting the root feet find the area find the differential fraction given equation gives greater segment half the sum height hence the area hypotenuse inches inverted latitude least common multiple Let ABC Log.cosec logarithm miles Mult Multiply number sought perp perpendicular poles Problem XI Prop question radius rectangle semiperimeter sine slant slant height solidity square root substituting Subt Subtract surf Tabular area tangent Theorem third side transp transposing transposition triangle Trig value of x wherefore whole arc whole surface yards دو
Pasajes populares
Página 74 - 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.
Página 75 - If the vertical angle of a triangle be 'bisected 'by a straight line which also cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Página 9 - Let x measure у by the units in n, then it will measure cy by the units in nc. 2d. If a quantity measure two others, it will measure their sum or difference. Let a be contained...
Página 15 - ... sin(a + b + c). Again (a) represents the coarse ROM, and bands b and c are two controls of the fine-tuned ROMs so that a < 90°, b < 90 • 2~a and c < 90 • 2~(a + 6). This is shown in Fig. 7-7. Sunderland showed that the trigonometric identity can be written as sin(a + b + c) = sin(a + 6) cos c + cos a cos b sin...
Página 10 - The truth of this rule depends upon these two principles ; 1". If one quantity measure another, it will also measure any multiple of that quantity. Let x measure y by the units in n, then it will measure cy by the units in nc.
Página 139 - Arc, on the Sine and Cosine of an Arc in terms of the Arc itself, and a new Theorem for the Elliptic Quadrant.
Página 137 - The differential of the logarithm of a function is equal to the differential of the function, divided by the function itself.
Página 149 - The pyramid may be conceived to be made up of an infinite number of planes parallel to ABC.
Página 81 - ... sum of any number of quantities is equal to the sum of the corresponding functions of each of these quantities, will be called distributive
Página 86 - We thus derive the following method for multiplying two binomials which have a common first term : The first term of the product is the square of the common first terms of the binomials.