A Course of Mathematics ...: Composed for the Use of the Royal Military Academy ...F. C. and J. Rivington, 1811 |
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Resultat 1-5 av 31
Side 10
... tang . of half the sum of their op . angles , To the tang . of half the diff . of the same angles . Then add the half difference of the angles , so found , to their half sum , and it will give the greater angle , and sub- tracting the ...
... tang . of half the sum of their op . angles , To the tang . of half the diff . of the same angles . Then add the half difference of the angles , so found , to their half sum , and it will give the greater angle , and sub- tracting the ...
Side 12
... tang . half sum Το tang . half diff . - · 519-07 log . 2.715226 170.93 AC , · · 2.232818 ZS C and B 71 ° 20 - 10.471298 - 9.988890 S c and B 44 16 these added give 4 c 115 36 and subtr . give 4 B 27 4 Then , by the former theorem , As ...
... tang . half sum Το tang . half diff . - · 519-07 log . 2.715226 170.93 AC , · · 2.232818 ZS C and B 71 ° 20 - 10.471298 - 9.988890 S c and B 44 16 these added give 4 c 115 36 and subtr . give 4 B 27 4 Then , by the former theorem , As ...
Side 15
... tang . of its adjacent angle , To its opposite leg ; And so is secant of the same angle , To the hypothenuse . E E Demonstr . AB being the given leg , in the right - angled triangle ABC ; with the centre A , and any assumed radius AD ...
... tang . of its adjacent angle , To its opposite leg ; And so is secant of the same angle , To the hypothenuse . E E Demonstr . AB being the given leg , in the right - angled triangle ABC ; with the centre A , and any assumed radius AD ...
Side 16
... tang . 4A To leg . BC 216 To hyp . AC So secant A - 53 ° 7 ' 48 " 270 3. Instrumentally . log . 10-000000 2.209515 10.124937 2.334452 10.221848 2.431363 Extend the compasses from 45 ° to 53 ° , on the tangents . Then that extent will ...
... tang . 4A To leg . BC 216 To hyp . AC So secant A - 53 ° 7 ' 48 " 270 3. Instrumentally . log . 10-000000 2.209515 10.124937 2.334452 10.221848 2.431363 Extend the compasses from 45 ° to 53 ° , on the tangents . Then that extent will ...
Side 18
... tang . 4c47 ° 30 ′ To AB 218-26 required 2.301030 10.037948 2 : 338978 EXAMPLE II . What was the perpendicular height of a cloud , or of a balloon , when its angles of elevation were 35 ° and 64 ° , as taken by two observers , at the ...
... tang . 4c47 ° 30 ′ To AB 218-26 required 2.301030 10.037948 2 : 338978 EXAMPLE II . What was the perpendicular height of a cloud , or of a balloon , when its angles of elevation were 35 ° and 64 ° , as taken by two observers , at the ...
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A Course of Mathematics: In Two Volumes. Composed for the Use of ..., Volum 2 Charles Hutton Uten tilgangsbegrensning - 1843 |
A Course of Mathematics: In Two Volumes. For the Use of the Royal ..., Volum 2 Charles Hutton Uten tilgangsbegrensning - 1843 |
A Course of Mathematics ...: Composed for the Use of the Royal Military Academy Charles Hutton,Olinthus Gregory Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
absciss altitude angle avoirdupois axis ball base body bottom breadth CA² CD² centre of gravity circle circumference column common logarithm cone consequently constant Corol cosine cube cubic cubic foot curvature curve cycloid cylinder DE² denote density descending diameter direction distance divided draw drawn earth ellipse equal equation figure find the area find the fluent fluent of EXAM fluid foot force frustum given fluxion Hence hyperbola inches inclined plane length logarithm measure motion moving multiply nearly ordinate parabola parallel parallelogram pendulum perpendicular pressure PROBLEM proportion PROPOSITION QUEST quicksilver radius radius of curvature ratio rectangle resistance SCHOLIUM secant side sine solid space specific gravity square supposing surface tangent theor THEOREM theref thickness triangle velocity vibration weight whole yards
Populære avsnitt
Side 64 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 1 - Geom.) is an arc of any circle contained between the two lines which form that angle, the angular point being the centre ; and it is •estimated by the number of degrees contained in that arc.
Side 171 - Half the Length of the Pendulum, as the Circumference of a Circle is to its Diameter...
Side 227 - Hence the magnitude of the whole body, is to the magnitude of the part immersed, as the specific gravity of the fluid, is to that of the body.
Side 13 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Side 88 - GLAZIERS' WORK. — Glaziers take their dimensions either in feet, inches, and parts ; or feet, tenths, and hundredths. And they compute their work in square feet. In taking the length and breadth of a window, the cross bars between the squares are included. Also, windows of round or oval forms are measured as square, measuring them to their greatest length and breadth, on account of the waste in cutting the glass.
Side 44 - Ex. 2. To find the whole surface of a triangular prism, whose length is 20 feet, and each side of its end or base 18 inches.
Side 11 - DF; that is, as the sum of the sides is to the difference of the sides, so is the tangent of half the sum of the opposite angles, to the tangent of half their difference.
Side 22 - A ladder 40 feet long may be so placed that it shall reach a window 33 feet from the ground on one side of the street, and by turning it over, without moving the foot out of its place, it will do the same by a window 21 feet high on the other side. Required the breadth of the street.
Side 87 - Required the quantity of plastering in a room, the length being 14 feet 5 inches, breadth 13 feet 2 inches, and height 9 feet 3 inches to the under side of the cornice, which girts...