Easy Introduction to Mathematics, Volum 2Barlett & Newman, 1814 |
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Side 373
... CO - CHORD of an arc , is the chord of the complement of that arc . Thus , the straight line BE ( or the chord of ... SINE of an arc , is a straight line drawn from one end of the arc , perpendicular to the diameter which passes through the ...
... CO - CHORD of an arc , is the chord of the complement of that arc . Thus , the straight line BE ( or the chord of ... SINE of an arc , is a straight line drawn from one end of the arc , perpendicular to the diameter which passes through the ...
Side 374
Charles Butler. Hence also the sine or co - sine can never exceed the radius . 14. THE VERSED SINE of an arc , is that part of the diameter which is intercepted between the beginning of the arc and its şine . Thus , DA is the versed sine ...
Charles Butler. Hence also the sine or co - sine can never exceed the radius . 14. THE VERSED SINE of an arc , is that part of the diameter which is intercepted between the beginning of the arc and its şine . Thus , DA is the versed sine ...
Side 375
... sine , co - sine , tangent , co - tangent , secant , co - secant , versed sine , and co - versed sine for every arc in the first quadrant AE be drawn , they will serve for the three remaining quadrants EL , LK , KA , that is , for the ...
... sine , co - sine , tangent , co - tangent , secant , co - secant , versed sine , and co - versed sine for every arc in the first quadrant AE be drawn , they will serve for the three remaining quadrants EL , LK , KA , that is , for the ...
Side 376
... sine BD will evidently coincide with EC , and become radius ; it then decreases during the second quadrant , at the ... co - sine at the beginning of the first quadrant is radius , and decreases with the motion of the point B through the ...
... sine BD will evidently coincide with EC , and become radius ; it then decreases during the second quadrant , at the ... co - sine at the beginning of the first quadrant is radius , and decreases with the motion of the point B through the ...
Side 377
... co - sine ; whence it appears that the secants of the first and fourth quadrants will be + , those of the second and third - . 30. The changes which take place in the magnitudes and directions of the co - tangent EH , and the co ...
... co - sine ; whence it appears that the secants of the first and fourth quadrants will be + , those of the second and third - . 30. The changes which take place in the magnitudes and directions of the co - tangent EH , and the co ...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volum 2 Charles Butler Uten tilgangsbegrensning - 1814 |
Vanlige uttrykk og setninger
Algebra arithmetical progression axis base bisected called centre chord circle circumference CN² co-sec co-sine co-tan completing the square Conic Sections cube curve diameter distance divided draw EC² equal Euclid Euclid's Elements EXAMPLES.-1 find the numbers former fourth fraction geometrical geometrical progression given equation given ratio greater harmonical mean Hence infinite series inversely last term latter latus rectum less likewise logarithms magnitude method multiplied number of terms odd number parallel parallelogram perpendicular PN² polygon problem Prop proposition Q. E. D. Cor quadrant quotient radius rectangle remainder right angles rule secant shew shewn sides sine solidity straight line substituted subtract tangent theor theorems third triangle unknown quantity VC² versed sine whence wherefore whole numbers x=the
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Side 280 - 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.
Side 235 - If two triangles have two sides of the one equal to two sides of the...
Side 247 - 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.
Side 62 - 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.
Side 353 - In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. 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. By Theorem II. we have a : b : : sin. A : sin. B.
Side 232 - But things which are equal to the same are equal to one another...
Side 256 - 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.
Side 160 - 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
Side 269 - II. Two magnitudes are said to be reciprocally proportional to two others, when one of the first is to one of the other magnitudes as the remaining one of the last two is to the remaining one of the first.
Side 272 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.