An Easy Introduction to the Mathematics: In which the Theory and Practice are Laid Down and Familiarly Explained ... A Complete and Easy System of Elementary Instruction in the Leading Branches of the Mathematics; ... Adapted to the Use of Schools, Junior Students at the Universities, and Private Learners, Especially Those who Study Without a Tutor. In Two Volumes, Τόμος 2Bartlett and Newman ; [etc., etc..], 1814 |
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Αποτελέσματα 1 - 5 από τα 94.
Σελίδα 4
... less , s = the given sum , d = the given difference . Then by the problem x + y = s . And x - y = d . Whence by addition 2x = s + d , or x = s + d 2 And by subtraction 2y = s ― d , or y 8 - d Q. E. I. * . 2 The term corollary is derived ...
... less , s = the given sum , d = the given difference . Then by the problem x + y = s . And x - y = d . Whence by addition 2x = s + d , or x = s + d 2 And by subtraction 2y = s ― d , or y 8 - d Q. E. I. * . 2 The term corollary is derived ...
Σελίδα 5
... less . SCHOLIUM . The form of any general algebraic expression may be changed at pleasure , provided its value be not altered thereby by this means a theorem may sometimes be laid down in a more convenient form than that derived ...
... less . SCHOLIUM . The form of any general algebraic expression may be changed at pleasure , provided its value be not altered thereby by this means a theorem may sometimes be laid down in a more convenient form than that derived ...
Σελίδα 6
... less . CANON 2. ( from theorem 2. ) Add half the difference of any two magnitudes to half their sum , and the result will be the greater magnitude . Subtract half the difference from half the sum , and the result will be the less ...
... less . CANON 2. ( from theorem 2. ) Add half the difference of any two magnitudes to half their sum , and the result will be the greater magnitude . Subtract half the difference from half the sum , and the result will be the less ...
Σελίδα 17
... less in use than formerly . We are indebted to Dr. John Pell , an eminent English mathematician , for the invention : it was first published in Rhonius's Algebra , translated out of the High Dutch into English by Thomas Brancker ...
... less in use than formerly . We are indebted to Dr. John Pell , an eminent English mathematician , for the invention : it was first published in Rhonius's Algebra , translated out of the High Dutch into English by Thomas Brancker ...
Σελίδα 20
... less , d = 9 , q = 4 . Register . No. Operation . 1 x - y = d . Given x 2 q . 2 × 4 1 + y Y 3x = qy . 4x = d + y . 3 = 4 5 qy = d + y . 5 - y 6 qy - y = d . d 6 ÷ q - 17 y 9 + 1 = 3 . d 1 + 7 8x = ( d + gd = 12 . q - 1 9-1 17. Given ...
... less , d = 9 , q = 4 . Register . No. Operation . 1 x - y = d . Given x 2 q . 2 × 4 1 + y Y 3x = qy . 4x = d + y . 3 = 4 5 qy = d + y . 5 - y 6 qy - y = d . d 6 ÷ q - 17 y 9 + 1 = 3 . d 1 + 7 8x = ( d + gd = 12 . q - 1 9-1 17. Given ...
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Algebra arithmetical progression base biquadratic equation bisected called centre chord circle circumference CN² co-sec co-sine co-tan common compasses Conic Sections conjugate hyperbola cube cubic equation curve described diameter difference distance divided draw drawn EC² ellipse equal equiangular Euclid EUCLID'S ELEMENTS EXAMPLES.-1 former fourth Geometry given equation given ratio given straight line greater Hence hyperbola infinite series latter latus rectum likewise logarithms magnitude measure method multiplied odd number parabola parallel parallelogram perpendicular plane PN² polygon problem Prop proposition Q. E. D. Cor quadrant quotient radius rectilineal figures right angles roots rule scale secant segments shewn sides sine square substituted subtracted tangent theor theorems third unknown quantity VC² versed sine whence wherefore whole numbers
Δημοφιλή αποσπάσματα
Σελίδα 320 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Σελίδα 405 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Σελίδα 287 - TO a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 66 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Σελίδα 272 - But things which are equal to the same are equal to one another (Ax.
Σελίδα 267 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Σελίδα 263 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Σελίδα 281 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Σελίδα 294 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.
Σελίδα 190 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of