A Course of Mathematics: Composed for the Use of the Royal Military Academy |
From inside the book
Results 1-5 of 90
Page 19
... diameter . But the Coal bushel must be 191⁄2 inches in diameter ; and 36 bushels , heaped up , make a London chaldron of coals , the weight of which is 3136 lb Avoirdupois . 2 Pints ALE AND BEER MEASURE . make 1 Quart 4 Quarts - 1 ...
... diameter . But the Coal bushel must be 191⁄2 inches in diameter ; and 36 bushels , heaped up , make a London chaldron of coals , the weight of which is 3136 lb Avoirdupois . 2 Pints ALE AND BEER MEASURE . make 1 Quart 4 Quarts - 1 ...
Page 81
... diameter , as it is very nearly ? Ans . 7891 miles , 728 yds . , 2 ft . 8 in . 7. Two persons , A and B , being on opposite sides of a wood , which is 536 yards about , begin to go round it , both the same way , at the same instant of ...
... diameter , as it is very nearly ? Ans . 7891 miles , 728 yds . , 2 ft . 8 in . 7. Two persons , A and B , being on opposite sides of a wood , which is 536 yards about , begin to go round it , both the same way , at the same instant of ...
Page 359
... Diameter of a circle is a line drawn through the centre , and terminating at the circumference on both sides . 48. An Arc of a circle is any part of the circumference . 49. A Chord is a right line joining the extremities of an arc . 50 ...
... Diameter of a circle is a line drawn through the centre , and terminating at the circumference on both sides . 48. An Arc of a circle is any part of the circumference . 49. A Chord is a right line joining the extremities of an arc . 50 ...
Page 360
... diameter . The half circumference is sometimes called the Semi- circle . 52. A Sector is any part of a circle which is bounded by an arc , and two radii drawn to its extremities . 53. A Quadrant , or Quarter of a circle , is a sector ...
... diameter . The half circumference is sometimes called the Semi- circle . 52. A Sector is any part of a circle which is bounded by an arc , and two radii drawn to its extremities . 53. A Quadrant , or Quarter of a circle , is a sector ...
Page 380
... diameter AFC . Then , if the centre of the other circle can be out of this line AC , let it be supposed in some other point as G ; through which draw the line FG , cutting the two circles in B and D. B F G E Now , in the triangle AFG ...
... diameter AFC . Then , if the centre of the other circle can be out of this line AC , let it be supposed in some other point as G ; through which draw the line FG , cutting the two circles in B and D. B F G E Now , in the triangle AFG ...
Contents
7 | |
62 | |
81 | |
95 | |
196 | |
311 | |
357 | |
363 | |
574 | |
588 | |
608 | |
689 | |
706 | |
712 | |
720 | |
726 | |
402 | |
417 | |
427 | |
442 | |
449 | |
487 | |
493 | |
504 | |
510 | |
520 | |
530 | |
557 | |
749 | |
758 | |
765 | |
771 | |
786 | |
795 | |
803 | |
809 | |
815 | |
821 | |
889 | |
Other editions - View all
A Course of Mathematics: Composed for the Use of the Royal Military Academy ... Charles Hutton No preview available - 2015 |
A Course of Mathematics: Composed for the Use of the Royal Military Academy ... Charles Hutton No preview available - 2015 |
Common terms and phrases
algebraic axis bisected called centre ciphers circle circumference coefficients contained Corol cosec cosine cube root curve decimal denominator denotes diameter difference differential co-efficient distance Divide dividend division divisor draw equal EXAMPLES exponent expression extract factors feet figure fraction given number greatest common measure Hence hyperbola inches latus rectum least common multiple logarithm manner monomial multiplied nth root number of terms parallel parallelogram perpendicular plane polynomial positive Prob PROBLEM Prop proportional proposed equation quotient radius ratio rectangle Reduce remainder right angles rule sides sine square root straight line Substituting subtract tangent Taylor's theorem THEOREM triangle ABC unknown quantity VULGAR FRACTIONS whole number yards
Popular passages
Page 338 - EC, have also the same altitude ; and because triangles of the same altitude are to each other as their bases, therefore the triangle ADE : BDE : : AD : DB, and triangle ADE : CDE : : AE : EC.
Page 354 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Page 332 - Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio.
Page 17 - OF TIME. 60 Seconds = 1 Minute. 60 Minutes = 1 Hour. 24 Hours = 1 Day. 7 Days = 1 Week. 28 Days = 1 Lunar Month.
Page 344 - CD. conseconsequently the whole polygon, or all the triangles added together which compose it, is equal to the- rectangle of the common altitude CD, and the halves of all the sides, or the half perimeter of the polygon. Now, conceive the number of sides of the polygon to be indefinitely increased ; then will its perimeter coincide with the circumference of the circle, and consequently the altitude CD will become equal to the radius, and the whole polygon equal to the circle. Consequently the space...
Page 303 - The Height or Altitude of a figure is a perpendicular let fall from an angle, or its vertex, to the opposite side, called the base.
Page 26 - Multiply the number in the lowest denomination by the multiplier, and find how many units of the next higher denomination are contained in the product, setting down ,what remains.
Page 62 - From these theorems may readily be found any one of these five parts ; the two extremes, the number of terms, the common difference, and the sum of all the terms, when any three of them are given, as in the following Problems : PROBLEM I.
Page 332 - Proportional, when the ratio of the first to the second, is equal to the ratio of the second to the third.
Page 62 - SUBTRACT the less extreme from the greater, and divide the difference by 1 more than the number of means required to be found...