A Compendious Course of Practical Mathematics: Particularly Adapted to the Use of the Gentlemen of the Army and Navy ...H. Woodfall, 1769 - Mathematics |
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A Compendious Course of Practical Mathematics: Particularly Adapted to the ... Paul Hoste No preview available - 2016 |
Common terms and phrases
againſt alfo alſo angle angle BAD arch AB arch AC bafe baftions baſe becauſe body bullet call'd cannon carriage chord circle circumference complement confequently COROLL COROLLARY cylinder defcribe Demonft Demonftrat diameter diftance divide faid fame manner fecond femicircle fhall fhall be equal fide AB fide AC fimilar fince fine total firft flank fome fquare fubtracted fuch fuppofed furface greater half the arch Ichnographical increaſe infcribed infinite number itſelf lefs leg AC LEMMA length likewife line AB line AC line CD logarithm meaſure motion multiply muſt oppofite paffing paffing thro parallel parallelogram perpendicular plane point F polygon prifm progreffion PROP quadrant radius raiſe rectangle refiftance refolved refpect reft right angles right line ſpace ſquare talus tangent theſe thofe thoſe triangle ABC uſe velocity weight whofe whoſe
Popular passages
Page 12 - If two angles of one triangle are equal to two angles of another triangle, the third angles are equal, and the triangles are mutually equiangular.
Page 67 - At present it is divided into 360 degrees, each degree into 60 minutes, and each minute into 60 seconds.
Page 82 - But if it be a mixed number ; reduce it to an improper fraction, and find the difference of the logarithms of the numerator and denominator, in the same manner as before.
Page 47 - E, cannot be found, then it can only be said that the ratio of A to C is compounded of the ratios of A to B, and B to C, that is, of the given ratios of D to E, and F to G. PROP.
Page 213 - Now, if this Ball flew in the Curve of a Parabola, its horizontal Range, at 45°, would be found, by the fifth Poftulate, to be about 17 Miles.
Page 91 - TN a plain triangle, the fum of any two fules is to their difference, as the tangent of half the fum of the angles at the bafe, to the tangent of half their difference.
Page 30 - A reftilineal figure is faid to be defcribed about a circle, when each fide of the circumfcribed figure touches the circumference of the circle. V. In like manner a circle is fai.d to be infcribed in a rectilineal figure...
Page 75 - Aferies of quantities are fold to be in geometrical prtgrejpon, when the firft has the fame ratio to the fecond, as the fecond to the third, and as the third to the fourth, &c.
Page 35 - The angles DEG, GEF, DFH, and HFE, being the halves of the angles DEF; and DFE, each of which is double to the angle EDF, are equal to the angle EDF ; and confequently the five arches upon which they reft, are equal, (by 21.
Page 45 - If all the angles of the triangle ABC are equal to the angles of the triangle EDF, that is, if the angle A be equal Fig.