Dictionary of the Mathematical and Physical Sciences, According to the Latest Improvements and Discoveries |
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Page 29
... side of the square DE , and note the number of divisions ; cut off the other side by the plumb- line EG ; then , having measured the distance CA , we have by simi- lar triangles , as EF : FG CA X FG EF - CA or DH : = = BH ; to which ...
... side of the square DE , and note the number of divisions ; cut off the other side by the plumb- line EG ; then , having measured the distance CA , we have by simi- lar triangles , as EF : FG CA X FG EF - CA or DH : = = BH ; to which ...
Page 34
... side are two of the given parts , and one of the sides about the given angle is the third part . With these data , the angle op- posite the unknown side may be either obtuse or acute , because every sine answers to two angles which are ...
... side are two of the given parts , and one of the sides about the given angle is the third part . With these data , the angle op- posite the unknown side may be either obtuse or acute , because every sine answers to two angles which are ...
Page 36
... sides of a line cutting two other lines ; and if these two lines are parallel , the alternate angles are equal . Exterior ANGLES , are those formed by the sides of any right- lined figure , and the adjacent sides produced ; they are the ...
... sides of a line cutting two other lines ; and if these two lines are parallel , the alternate angles are equal . Exterior ANGLES , are those formed by the sides of any right- lined figure , and the adjacent sides produced ; they are the ...
Page 45
... side of the inscribed square , to find the base and perpendicular . Let ABC ( Fig . 9 ) be the proposed triangle , AC the given hypothe nuse , and BD the given square . Make A Ch , FD = DE = s ,. Whence , = and y = ' s2 + b2 = AC , 25 ...
... side of the inscribed square , to find the base and perpendicular . Let ABC ( Fig . 9 ) be the proposed triangle , AC the given hypothe nuse , and BD the given square . Make A Ch , FD = DE = s ,. Whence , = and y = ' s2 + b2 = AC , 25 ...
Page 46
... sides of a right - angled triangle , and the perpendicular , let fall from the right - angle upon the hypothenuse , to find the three sides of the triangle . have x2 + 2xy + y2 = n2 + 2pn x2 - · 2xy + y2 = n2 — the roots of which are ...
... sides of a right - angled triangle , and the perpendicular , let fall from the right - angle upon the hypothenuse , to find the three sides of the triangle . have x2 + 2xy + y2 = n2 + 2pn x2 - · 2xy + y2 = n2 — the roots of which are ...
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Dictionary of the Mathematical and Physical Sciences: According to the ... James Mitchell No preview available - 2017 |
Dictionary of the Mathematical and Physical Sciences: According to the ... James Mitchell No preview available - 2017 |
Common terms and phrases
absciss Algebra altitude appears Arithmetic Astronomy axis body called centre circle co-efficients conic sections consequently cosine cube cubic equation curve cycloid cylinder degree denominator denote diameter distance diurnal motion divided divisor earth ecliptic ellipse equa equal equation feet figure fluid fluxion force formula fraction frustrum Geometry given glass gravity greater greatest heat Hence horizon hyperbola inches instrument latitude length less logarithm longitude means measure mercury meridian method moon motion multiplied object observed orbit ordinate parabola parallax parallel passing perihelion perpendicular plane poles produced proportion quantity radius ratio rays refraction right angles right ascension right line roots side signs sine solid space specific gravity sphere spherical square stars subtangent supposed surd surface tance tang tangent telescope tion triangle tube velocity weight whence wind