## Elements of Geometry and Trigonometry |

### From inside the book

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Page 228

... till you reach the number expressing the minutes ; then pass along the horizontal line into the columns designated tang . ,

... till you reach the number expressing the minutes ; then pass along the horizontal line into the columns designated tang . ,

**cotang**. , sine , cosine , as the case may be ; the number so pointed out is the logarithm required . Page 229

It will be seen , that the column designated sine at the top of the page , is designated cosine at the bottom ; the one designated tang . , by

It will be seen , that the column designated sine at the top of the page , is designated cosine at the bottom ; the one designated tang . , by

**cotang**. , and the one designated**cotang**. , by tang . The angle found by taking the degrees ... Page 230

Therefore , having two arcs , a and b , log . tang blog .

Therefore , having two arcs , a and b , log . tang blog .

**cotang**blog . tang a + log .**cotang**a ; or , log . tang b - log . tang a = log .**cotang**b - log .**cotang**a . Now , if it were required to find the logarithmic sine of an arc ... Page 231

To find the arc corresponding to

To find the arc corresponding to

**cotang**. 10.008688 .**Cotang**44 ° 26 ' , next less in the table 10.008591 Tab . Diff . 421 ) 9700 ( 23 "Hence , 44 ° 26 ' - 23 ′′ = 44 ° 25 ′ 37 ′′ is the arc corresponding to the given cotangent ... Page 57

... the left - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand column , belong to the degrees below . C Cosine | D. 10.000000 ] Tang . D.

... the left - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand column , belong to the degrees below . C Cosine | D. 10.000000 ] Tang . D.

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### Other editions - View all

Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre No preview available - 2017 |

### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently construction contained corresponding Cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM produced Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole