Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - an Analysis of Each Branch, and of the Whole, as Forming a Single Science |
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Page 6
... horizontal , it has been agreed to call the said to be abbreviated when it is shortened horizontal one the axis of X , or the axis of by any algebraic process : thus , the expres - abscissas , and the other one the axis of Y , or sion ...
... horizontal , it has been agreed to call the said to be abbreviated when it is shortened horizontal one the axis of X , or the axis of by any algebraic process : thus , the expres - abscissas , and the other one the axis of Y , or sion ...
Page 17
... horizontal, though it is better that it should be. ). The altitude of an object which is accessible, may be determined by means of its shadow. A. /"'. ^. /. From equation (1) we find fi . .0 + 4. parallel sides, ditular distance between its ...
... horizontal, though it is better that it should be. ). The altitude of an object which is accessible, may be determined by means of its shadow. A. /"'. ^. /. From equation (1) we find fi . .0 + 4. parallel sides, ditular distance between its ...
Page 18
... horizontal . AD ' = AB ? + BD + - 2 . 1B BG and IL To measure an inaccessible altitude . 1 . Let it be required to determine the altiCD ' = BC ? + BD2 – 2BC - BG , tude of the point D above the horizontal whence , by substituting the ...
... horizontal . AD ' = AB ? + BD + - 2 . 1B BG and IL To measure an inaccessible altitude . 1 . Let it be required to determine the altiCD ' = BC ? + BD2 – 2BC - BG , tude of the point D above the horizontal whence , by substituting the ...
Page 19
... horizontal angles, because the in- ctruments employed have not the necessary arrangements for repetition and accurate reading that are furnished in those used for measuring horizontal angles. In order to detrnnirv? what effect a small ...
... horizontal angles, because the in- ctruments employed have not the necessary arrangements for repetition and accurate reading that are furnished in those used for measuring horizontal angles. In order to detrnnirv? what effect a small ...
Page 20
... horizontal and vertical angles . It differs but are much facilitated . little in principle from the Theodolite , which Three separate tables are constructed ; the see . It is much larger than the Theodolite . first of which gives more ...
... horizontal and vertical angles . It differs but are much facilitated . little in principle from the Theodolite , which Three separate tables are constructed ; the see . It is much larger than the Theodolite . first of which gives more ...
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Common terms and phrases
algebraic angle application assumed axes axis base becomes branch called centre chord circle co-efficient co-ordinates common cone constructed contains corresponding course curve decimal denote describe determined diameter differential direction distance divided division draw drawn elements ellipse employed equal equation expression extremity factors figure fixed formula fraction function Geometry give given greater hence horizontal indicated infinite intersection kind known latitude length less limit logarithm manner mathematical means measure meridian method multiply nature operation parallel pass perpendicular plane polygon portion position principles problem projection properties quantity radius ratio reduced referred relation remaining represent respect result roots rule scale sides sphere square straight line suppose surface taken tangent term third tion triangle unit variable vertex vertical
Popular passages
Page 215 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 217 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 140 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Page 180 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Page 80 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 400 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Page 217 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.
Page 124 - Subtract the cube of this number from the first period, and to the remainder bring down the first figure of the next period for a dividend.
Page 360 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...