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Page 209

AC + BC ;

tangent AD — BD - -• , . .... - — ; — — — . Now, when the triangle is right angled,

BC coincides with DC, and BD vanishes, therefore . AC + DC AC — DC tangent ...

AC + BC ;

**consequently**, tangent g X tan- AC — BC AD + BD gent - ~ tangent ; ' Xtangent AD — BD - -• , . .... - — ; — — — . Now, when the triangle is right angled,

BC coincides with DC, and BD vanishes, therefore . AC + DC AC — DC tangent ...

Page 269

... then, by selling 2 yards at 5s, per yard, he lost-y^s.; 315 but 3 yards come to -j^-

, to gain 5 per cent.; therefore 315 . 10 325 t, . „ , . , , , r ~ -f- — — — s. = Price 3

yards must be sola for, to make up his loss;

.

... then, by selling 2 yards at 5s, per yard, he lost-y^s.; 315 but 3 yards come to -j^-

, to gain 5 per cent.; therefore 315 . 10 325 t, . „ , . , , , r ~ -f- — — — s. = Price 3

yards must be sola for, to make up his loss;

**consequently**, the price of 1 yard is 5s.

Page 278

...

Bm n-^Und BK : Bm :: DK : Dn _ 64 — J^/io- Finally, the weights of the cylinders

are t» each other as A B2 X BE : C D2. 278 MATHEMATICAL DEPARTMENT.

...

**consequently**, BK = CK — BC = 30, and DK = CK + CD =64. Now, EF:EL::BE :Bm n-^Und BK : Bm :: DK : Dn _ 64 — J^/io- Finally, the weights of the cylinders

are t» each other as A B2 X BE : C D2. 278 MATHEMATICAL DEPARTMENT.

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