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" Some angle is selected as the unit, and the measure of any other angle is the number of units which it contains. Any angle might be taken for the unit, as for example a right angle; but a smaller angle than a right angle is found more convenient. Accordingly... "
Plane Trigonometry for the Use of Colleges and Schools: With Numerous Examples - Page 1
by Isaac Todhunter - 1874 - 341 pages
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1866 - 216 pages
...of -simple equations. The parts of the elements of Euclid which are usually read are also necessary. 2. We have first to explain how angles are measured....degrees, which we may write in the decimal notation 22'5 degrees, or we may express it as 22 degrees 30 minutes; onesixteenth of a right angle contains...
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Trigonometry for Beginners: With Numerous Examples

Isaac Todhunter - Plane trigonometry - 1866 - 206 pages
...Accordingly a right angle is divided into 90 equal parts called degrees ; and any angle may be estimated l>y ascertaining the number of degrees which it contains....minute into 60 equal parts called seconds: and thus a J> 1 fraction of a degree may if we please be converted into minutes and seconds. 3. Thus, for example,...
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Trigonometry for Beginners with Numerous Examples

Isaac Todhunter - Plane trigonometry - 1868 - 240 pages
...of simple equations. The parts of the elements of Euclid which are usually read are also necessary. 2. We have first to explain how angles are measured....45 degrees; a quarter of a right angle contains 22 i degrees, which we may write in the decimal notation 22-5 degrees, or we may express it as 22 degrees...
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The Progressive Higher Arithmetic: For Schools, Academies, and Mercantile ...

Horatio Nelson Robinson - Arithmetic - 1868 - 468 pages
...right-angle, which is used as the measure of all plane angles, is divided into 90 equal parts, called degrees; a degree is divided into 60 equal parts, called minutes...and a minute into 60 equal parts, called seconds. In the centesimal or French system, a right-angle is divided into 100 equal parts, called grades ;...
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1868 - 390 pages
...right-angle, which is used as the measure of all plane angles, is divided into 90 equal parts, called degrees; a degree is divided into 60 equal parts, called minutes...and a minute into 60 equal parts, called seconds. In the centesimal or French system, a right-angle is divided into 100 equal parts, called grades; a...
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Elementary Mensuration for the use of schools, etc

Septimus Tebay - Measurement - 1868 - 168 pages
...degrees, minutes, and seconds. The right angle is divided into 90 equal parts, called degrees (°) ; a degree is divided into 60 equal parts, called minutes (-) ; and a minute is divided into 60 equal parts, called seconds ("). Thus, 12° 15' 36" denotes 12 degrees, 15 minutes,...
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Robinson's Progressive Practical Arithmetic: Containing the Theory of ...

Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1871 - 384 pages
...right-angle, which is used as the measure of all plane angles, is divided into 90 equal parts, called degrees; a degree is divided into 60 equal parts, called minutes...and a minute into 60 equal parts, called seconds. In the centesimal or French System, a right-angle is divided into 100 equal parts, called grades ;...
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A Practical Arithmetic: Upon the Basis of the Works of Geo. R. Perkins

George Payn Quackenbos - Arithmetic - 1872 - 350 pages
...parts, called Degrees. The actual length of the degree will of course depend on the size of the circle. A degree is divided into 60 equal parts, called Minutes...and a minute into 60 equal parts, called Seconds. TABLE. 60 seconds (") make 1 minute, . . . ' 60 minutes, 1 degree, . . . ° 30 degrees, 1 sign, . ....
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A Higher Arithmetic

George Payn Quackenbos - Arithmetic - 1874 - 444 pages
...circumference of every circle may be divided into 360 equal parts, called Degrees. A degree is subdivided into 60 equal parts, called Minutes ; and a minute, into 60 equal parts, called Seconds. A degree being 3^ of a circle, its length depends on the size of the circle. The arcs BC and DE, being...
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Robinson's Progressive Practical Arithmetic: Containing the Theory of ...

Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1874 - 380 pages
...right-angle, which is used as the measure of all plane angles, is divided into 90 equal parts, called degrees; a degree is divided into 60 equal parts, called minutes ; and a minute into 6O equal parts, called seconds. In the centesimal or French system, a right-angle is divided into 100...
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