A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1Gilberte and Rivington, 1841 - Mathematics |
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Page iv
... an equation ; and as brief a form of investigating Sturm's criterion as I could devise , has also been added . Though I am as fully impressed as any one can be of the great beauty and importance of iv THE EDITOR'S PREFACE .
... an equation ; and as brief a form of investigating Sturm's criterion as I could devise , has also been added . Though I am as fully impressed as any one can be of the great beauty and importance of iv THE EDITOR'S PREFACE .
Page v
... added . The chapters on the geometry of planes and solids have also , for the most part , been modified and rewritten . The practical geometry has been entirely recomposed , and in especial reference to the circumstances under which the ...
... added . The chapters on the geometry of planes and solids have also , for the most part , been modified and rewritten . The practical geometry has been entirely recomposed , and in especial reference to the circumstances under which the ...
Page vi
... added , as the paucity of these in the former editions has often been a subject of complaint . In the artificers ' work and land surveying no changes are made in this edition , but a com- plete revision of them will be given hereafter ...
... added , as the paucity of these in the former editions has often been a subject of complaint . In the artificers ' work and land surveying no changes are made in this edition , but a com- plete revision of them will be given hereafter ...
Page 6
... added to 5 . 6 - 2 , denotes that 2 is to be taken from 6 . 7 x 3 , or 7. 3 , denotes that 7 is to be multiplied by 3 . 84 , denotes that 8 is to be divided by 4 . 2 : 3 4 6 , expresses that 2 is to 3 as 4 is to 6 . 6410 , shows that ...
... added to 5 . 6 - 2 , denotes that 2 is to be taken from 6 . 7 x 3 , or 7. 3 , denotes that 7 is to be multiplied by 3 . 84 , denotes that 8 is to be divided by 4 . 2 : 3 4 6 , expresses that 2 is to 3 as 4 is to 6 . 6410 , shows that ...
Page 7
... added upwards ; then if the two sums agree , it may be presumed the work is right . - This method of proof is only doing the same work twice over , a little varied . Second Method . - Draw a line below the uppermost number , and suppose ...
... added upwards ; then if the two sums agree , it may be presumed the work is right . - This method of proof is only doing the same work twice over , a little varied . Second Method . - Draw a line below the uppermost number , and suppose ...
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Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence