A Treatise of Plane Trigonometry, and the Mensuration of Heights and Distances: To which is Prefixed a Summary View of the Nature and Use of Logarithms. Adapted to the Method of Instruction in Schools and AcademiesM.H. Newman & Company, 1848 - 153 páginas |
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Página 47
... degrees , each degree into 60 minutes , each minute into 60 seconds , each second into 60 thirds , & c . , marked with the characters " , " " , & c . Thus , 32 ° 24 ′ 13 ′′ 22 ' ' is 32 degrees , 24 min- utes , 13 seconds , 22 thirds ...
... degrees , each degree into 60 minutes , each minute into 60 seconds , each second into 60 thirds , & c . , marked with the characters " , " " , & c . Thus , 32 ° 24 ′ 13 ′′ 22 ' ' is 32 degrees , 24 min- utes , 13 seconds , 22 thirds ...
Página 48
... degrees in a small circle , is the same as in a large one . The fourth part of a circle is called a quadrant , and con- tains 90 degrees . 74. To measure an angle , a circle is so described that its center shall be the angular point ...
... degrees in a small circle , is the same as in a large one . The fourth part of a circle is called a quadrant , and con- tains 90 degrees . 74. To measure an angle , a circle is so described that its center shall be the angular point ...
Página 49
... degrees , as in the arc by which it is subtended . 76. The sum of the three angles of any triangle being equal to two right angles , ( Euc . 32. 1. * ) is equal to 180 ° . Hence , there can never be more than one obtuse angle in a ...
... degrees , as in the arc by which it is subtended . 76. The sum of the three angles of any triangle being equal to two right angles , ( Euc . 32. 1. * ) is equal to 180 ° . Hence , there can never be more than one obtuse angle in a ...
Página 61
... degrees and minutes . If the given angle is less than 45 ° , look for the degrees at the top of the table , and the minutes on the left ; then , opposite to the minutes , and under the word sine at the head of the column , will be found ...
... degrees and minutes . If the given angle is less than 45 ° , look for the degrees at the top of the table , and the minutes on the left ; then , opposite to the minutes , and under the word sine at the head of the column , will be found ...
Página 62
... degrees , minutes , and SECONDS . In the common tables , the sine , tangent , & c . , are given only to every minute of a degree . * But they may be found . to seconds , by taking proportional parts of the difference of * In the very ...
... degrees , minutes , and SECONDS . In the common tables , the sine , tangent , & c . , are given only to every minute of a degree . * But they may be found . to seconds , by taking proportional parts of the difference of * In the very ...
Otras ediciones - Ver todas
A Treatise of Plane Trigonometry, and the Mensuration of Heights and ... Jeremiah Day Vista completa - 1855 |
A Treatise of Plane Trigonometry, and the Mensuration of Heights and ... Jeremiah Day Sin vista previa disponible - 2016 |
A Treatise Of Plane Trigonometry, And The Mensuration Of Heights And ... Jeremiah Day Sin vista previa disponible - 2008 |
Términos y frases comunes
ABCD altitude axis base breadth bung diameter calculated capacity cask centre circular sector circular segment circumference convex surface cosecant Cosine Cotang cube decimal dicular difference divided earth equal to half figure find the area find the SOLIDITY frustum given sides gles greater head diameter hypothenuse inscribed lateral surface length less line of chords logarithm measure miles MULTIPLY THE SUM number of degrees number of sides oblique parallel parallelogram parallelopiped perpen perpendicular perpendicular height plane prism PROBLEM product of half proportion pyramid quadrant quantity quotient radius regular polygon regular solids right angled triangle right cone right cylinder right prism rods root secant sector sine sphere square feet subtracted tables tabular Tang tangent term Theorem Thomson's Legendre trapezium triangle ABC Trig trigonometry ullage whole surface wine gallons zone
Pasajes populares
Página 39 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Página 19 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 51 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus, BA is the versed sine of the arc AG.
Página 101 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the O's through the rest of the line, to catch the eye, and to indicate that fronc '>ence the annexed first two figures of the Logarithm in the colvvran stand in the next lower line. N.
Página 47 - The circumference of every circle, whether great or small, is supposed to be divided into 360 equal parts, called degrees ; and every degree into 60 parts, called minutes ; and every minute into 60 seconds.
Página 55 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Página 4 - QUADRANT. NB The minutes in 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.
Página 12 - We have then this important property, j -f 14. The DECIMAL PART of the logarithm of any number is the same, as that of the number multiplied or divided by 10, 100, 1000, &c.
Página 34 - But the difference of two squares is equal to the product of the sum and difference of their roots.
Página 18 - ... 1.84148. 31. To find the. logarithm of a VULGAR FRACTION. From the nature of a vulgar fraction, the numerator may be considered as a dividend, and the denominator as a divisor; in other words, the value of the fraction is equal to the quotient, of the numerator divided by the denominator.