Elemento of Geometry, Theoretical and Practical: Containing a Full Explanation of the Construction and Use of Tables, and a New System of SurveyingPratt, Woodford & Company, 1848 - 324 σελίδες |
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Αποτελέσματα 1 - 5 από τα 34.
Σελίδα 56
... direction of M ) a quantity less than u , the point of equal attraction will approach M , and the more , the greater the line subtracted , so that , when the line subtracted is = CM , u will = 0 , and when > CM , as CC ' , u will become ...
... direction of M ) a quantity less than u , the point of equal attraction will approach M , and the more , the greater the line subtracted , so that , when the line subtracted is = CM , u will = 0 , and when > CM , as CC ' , u will become ...
Σελίδα 64
... direction , or that of the straight line . Corollary 1. Two straight lines cannot intersect in more ( 67 ) points than one ; for having crossed once , it is obvious from ( 66 ) , that , in order to a second intersection , one of the ...
... direction , or that of the straight line . Corollary 1. Two straight lines cannot intersect in more ( 67 ) points than one ; for having crossed once , it is obvious from ( 66 ) , that , in order to a second intersection , one of the ...
Σελίδα 65
... direction OB ' then will OC take the direction OC ' ( 69 ) and the line BOC will coincide with B'OC ' , also OA will take a certain di- rection OA " , which we are at liberty to suppose between OA ' and OC ' ; whence the angle AOB will ...
... direction OB ' then will OC take the direction OC ' ( 69 ) and the line BOC will coincide with B'OC ' , also OA will take a certain di- rection OA " , which we are at liberty to suppose between OA ' and OC ' ; whence the angle AOB will ...
Σελίδα 68
... O , the line O'D will take the direction OA and there- fore coincide with OA through its whole extent , and , for a like reason , OB will coincide with O'C . PARALLEL LINES . 69 Hence , if the lines OB 68 PARALLEL LINES .
... O , the line O'D will take the direction OA and there- fore coincide with OA through its whole extent , and , for a like reason , OB will coincide with O'C . PARALLEL LINES . 69 Hence , if the lines OB 68 PARALLEL LINES .
Σελίδα 69
... direction , are equal . For , producing the sides of the angles a , b , till they meet , forming the an- gle c , we have ( 81 , 2 ° ) , a = c = b . Le La Fig . 82 . Cor . 6. The opposite angles of a Parallelogram are equal . It is ...
... direction , are equal . For , producing the sides of the angles a , b , till they meet , forming the an- gle c , we have ( 81 , 2 ° ) , a = c = b . Le La Fig . 82 . Cor . 6. The opposite angles of a Parallelogram are equal . It is ...
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Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry, Theoretical and Practical: Containing a Full ... George Clinton Whitlock Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
A₁ abscissa algebraical altitude axis base becomes BINOMIAL THEOREM bisecting C₁ centre chains chord circle circumference coefficients computation constant continuous function cosc cosine cota curve D₂ denominator denote determine diameter difference diminished distance divided division divisor draw drawn ellipse equal equation exponent factors find the derivative fraction function geometry given greater horizontal Hyperbola hypothenuse increment intersect logarithm measured minus multiplied observe operation opposite parabola parallel parallelogram perpendicular plane polygon polynomial problem proportional PROPOSITION quantities quotient radii radius ratio rectangle right angled triangle Scholium secant secant line segments sine sinx square straight line subtangent subtracting tana tanb tangent theorem variable vertical whence y₁
Δημοφιλή αποσπάσματα
Σελίδα 13 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 264 - ... greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle, shall be greater than the base of the other. Let ABC, DEF be two triangles, which have the two sides AB, AC, equal to...
Σελίδα 217 - Through a given point to draw a line parallel to a given straight line.
Σελίδα 195 - As the sine of the angle opposite the given side, is to the sine of the angle opposite the required side ; so is the given side to the required side.
Σελίδα 197 - To find the other side: — • as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference...
Σελίδα 170 - The sine of an arc is the perpendicular let fall from one extremity of the arc on the diameter which passes through the other extremity.
Σελίδα 45 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Σελίδα 83 - ... by four times the square of the line joining the middle points of the diagonals.
Σελίδα 304 - N. by E. NNE NE by N. NE NE by E. ENE E. by N. East E. by S. ESE SE by E. SE SE by S.
Σελίδα 177 - The sum of the sines of two arcs is to their difference, as the tangent of half the sum of those arcs is to the tangent of half their difference.