## 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

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

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 ,

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 ,

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

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 ...### What people are saying - Write a review

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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