A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |
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Page 132
Let several binomial factors , of which w is the first term , and where a , b , c , d , ... are the second terms of the several factors , be multiplied together : then describe the manner in which the coefficients of the several powers ...
Let several binomial factors , of which w is the first term , and where a , b , c , d , ... are the second terms of the several factors , be multiplied together : then describe the manner in which the coefficients of the several powers ...
Page 310
LET ABC be a right - angled triangle , having the right angle C ; then will the square of the hypothenuse AB , be equal to the sum of the squares of the other two sides AC , CB . Or AB : AC + BC % . For , on AB describe the square AE ...
LET ABC be a right - angled triangle , having the right angle C ; then will the square of the hypothenuse AB , be equal to the sum of the squares of the other two sides AC , CB . Or AB : AC + BC % . For , on AB describe the square AE ...
Page 372
MAKE DE equal to A , and with centres D and E and radii equal to B and C respectively , describe circles intersecting in F , G. Join DF , FE , and likewise DG , GE . Then either of the triangles DFE or DGE will be that required * .
MAKE DE equal to A , and with centres D and E and radii equal to B and C respectively , describe circles intersecting in F , G. Join DF , FE , and likewise DG , GE . Then either of the triangles DFE or DGE will be that required * .
Page 373
Draw any line DC , meeting AB in C , and with centres C and D , and radius CD , describe arcs DB , CH , the former meeting AB in B. Then with centre C and radius BD describe an arc to meet CH at E. The line CE being drawn will be ...
Draw any line DC , meeting AB in C , and with centres C and D , and radius CD , describe arcs DB , CH , the former meeting AB in B. Then with centre C and radius BD describe an arc to meet CH at E. The line CE being drawn will be ...
Page 374
Take any equal distances BA , BC , in the sides containing the angle , and with A , C , as centres , and any equal radii describe circles cutting in D. Then BD being drawn will bisect the angle ABC . For if AD , CD be drawn , the three ...
Take any equal distances BA , BC , in the sides containing the angle , and with A , C , as centres , and any equal radii describe circles cutting in D. Then BD being drawn will bisect the angle ABC . For if AD , CD be drawn , the three ...
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A Course of Mathematics: Composed for the Use of the Royal Military Academy Charles Hutton No preview available - 2015 |
Common terms and phrases
added algebraic angle answer applied arithmetical base called centre circle coefficients common compound contained continued cube decimal denominator denote describe diameter difference distance divided division divisor double draw drawn equal equation EXAMPLES expression extremes factors figure former four fraction functions give given greater half hence interest intersection join latter length less manner means measure meeting method Multiply obtained operation opposite parallel parallelogram perpendicular plane position principal PROBLEM proportional quantity question quotient radius ratio rectangle Reduce remainder respectively result right angles root rule sides signs simple solution square subtract successive supposing taken THEOREM third triangle Whence whole yards