A Course of Mathematics: In Two Volumes. For the Use of the Royal Military Academy, Volume 1 |
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Page viii
254 248 Change of the radius 441 Use of the tables .. 256 248 Inverse functions ..... 442 Logarithmic operations . 257 251 Exercises on arcs ......... 443 Exponential equations 261 255 Simple interest 264 258 Right - angled triangles .
254 248 Change of the radius 441 Use of the tables .. 256 248 Inverse functions ..... 442 Logarithmic operations . 257 251 Exercises on arcs ......... 443 Exponential equations 261 255 Simple interest 264 258 Right - angled triangles .
Page 291
The radius of a circle is a line drawn from the centre to the circumference . 17. The diameter of a circle is a line drawn through the centre , and terminating at the circumference on both sides . ODO 18. An arc of a circle is any part ...
The radius of a circle is a line drawn from the centre to the circumference . 17. The diameter of a circle is a line drawn through the centre , and terminating at the circumference on both sides . ODO 18. An arc of a circle is any part ...
Page 314
10 ) , or greater than its equal radius FB . From each of these take away the common part FG , and the remainder GA will be greater than the remainder GB : but the point G being supposed the centre of the inner circle , its two radii ...
10 ) , or greater than its equal radius FB . From each of these take away the common part FG , and the remainder GA will be greater than the remainder GB : but the point G being supposed the centre of the inner circle , its two radii ...
Page 315
A line perpendicular to the extremity of a radius , is a tangent to the circle . Let the line ADB be perpendicular to the radius CD of a circle ; then shall AB touch the circle in the point D only . DE B From any other point E in the ...
A line perpendicular to the extremity of a radius , is a tangent to the circle . Let the line ADB be perpendicular to the radius CD of a circle ; then shall AB touch the circle in the point D only . DE B From any other point E in the ...
Page 316
Draw the radius EC to the point of contact , and the radius EF perpendicular to the chord at H. Then the radius EF , being perpendicular to the chord CD , bisects the arc CFD ( th . 41 ) . Therefore CF is balf the arc CFD .
Draw the radius EC to the point of contact , and the radius EF perpendicular to the chord at H. Then the radius EF , being perpendicular to the chord CD , bisects the arc CFD ( th . 41 ) . Therefore CF is balf the arc CFD .
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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