An introduction to plain trigonometry, with its application to heights and distancesM. Heavisides, for the author, 1792 - 99 Seiten |
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Seite 27
... Angles . Thefe are therefore the fubject of Plain Trigono- metry . And in all our Enquiries three Things ( either all the Sides , or Sides and Angles , ) are given to find a fourth , ( Side or Angle . ) I. E VERY Circle whether great or ...
... Angles . Thefe are therefore the fubject of Plain Trigono- metry . And in all our Enquiries three Things ( either all the Sides , or Sides and Angles , ) are given to find a fourth , ( Side or Angle . ) I. E VERY Circle whether great or ...
Seite 35
Richard Cockrel. LOGARITHMETICALLY . OGARIT You have the Hypothenufe and all the Angles given , but neither the Perpendicular nor Bafe . Now turn to Plate 1 , and you will foon discover how your Proportion will run . Remember , to find a ...
Richard Cockrel. LOGARITHMETICALLY . OGARIT You have the Hypothenufe and all the Angles given , but neither the Perpendicular nor Bafe . Now turn to Plate 1 , and you will foon discover how your Proportion will run . Remember , to find a ...
Seite 41
... angle ABC , the Hypothenufe AC 168 and Perpendicular BA 114 to find the Angles and Bafe . 168 114 GEOMETRICALLY . Draw the Perpendicular AB and lay off thereon 114 , then from the Point B , draw BC F perpendicular perpendicular to AB ...
... angle ABC , the Hypothenufe AC 168 and Perpendicular BA 114 to find the Angles and Bafe . 168 114 GEOMETRICALLY . Draw the Perpendicular AB and lay off thereon 114 , then from the Point B , draw BC F perpendicular perpendicular to AB ...
Seite 42
... Angles . Turn to Plate 1 , and fee what Angle the Hypothenufe is oppofite to , which you will find ( No. 2. ) to be Radius 90 ° therefore in the first place it will be , As the Hypoth . AC 168 Is to Radius 90 2 * 225309 + 10 ° 000000 ...
... Angles . Turn to Plate 1 , and fee what Angle the Hypothenufe is oppofite to , which you will find ( No. 2. ) to be Radius 90 ° therefore in the first place it will be , As the Hypoth . AC 168 Is to Radius 90 2 * 225309 + 10 ° 000000 ...
Seite 43
... find the Base , you must begin with an Angle , as directed in a former Page ; there- fore look in the Plate for the ... Angles and Perpendicular . Geometrically 2 CM ) rolod er bra liv toy , doute TRIGONOMETRY . 43.
... find the Base , you must begin with an Angle , as directed in a former Page ; there- fore look in the Plate for the ... Angles and Perpendicular . Geometrically 2 CM ) rolod er bra liv toy , doute TRIGONOMETRY . 43.
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An Introduction to Plain Trigonometry, with Its Application to Heights and ... Richard Cockrel Keine Leseprobe verfügbar - 2018 |
An Introduction to Plain Trigonometry, with Its Application to Heights and ... Richard Cockrel Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
A B C ABC are given alfo angled plain Triangle angled Triangle ABC Angles and Hypothenufe Arch D E Bafe and Hypothenufe becauſe bifect Cafe Centre Chord of 60 Compaffes confequently defcribe an Arch defcribe another Arch Diſtance draw A B fame fhall find the Angles find the Bafe find the Perpendicular firſt Foot fubtracted from 90 fuch fuppofe GEOMETRICALLY given right Line given the Hypothenufe gives the greater gives the leffer half the Difference half the Sum Houſe Hypoth Hypothenufe AC laſt lay off thereon lefs Line of Chords LOGARITHMETICALLY meaſured Number of Degs oblique angled plain oppofite Angle Parallelogram Perpend Perpendicu plain Triangle ABC Point of Interfection Proportion PROPOSITION Queſtion Radius 90 refpectively required the Angles right angled Triangle Scale of equal Secant Sect Side A B 70 Side and Angles Side BC 120 Sine Tang Tangent Trigono Turn to Plate
Beliebte Passagen
Seite 60 - As the base or sum of the segments Is to the sum of the other two sides, So is the difference of those sides To the difference of the segments of the base.
Seite 8 - If equal quantities be added to equal quantities, the sums will be equal.
Seite 75 - I measured a base of 500 yards in a straight line close by one side of it ; and at each end of this line I .found the angles subtended by the other end and a tree, close to the bank on the other side of the river, to be 53° and 79° 12'.
Seite 68 - What is the perpendicular height of a hill whose angle of elevation, taken at the bottom of it, was 46° ; and 100 yards farther off, on a level with the bottom of it, the angle was 31° ? Ans., 143.14 yards.
Seite 73 - I measured out for a base 400 yards in a right line by the side of the river, and found that the two angles, one at each end of this line, subtended by the other end and the house, were 68° 2
Seite 73 - Being on one side of a river and wanting to know the distance to a house, which stood on the other side, I measured 200 yards in a right line by the side of the river, and found that the two angles at each end of this line formed by the other end and the house were 73° 15' and 68° 2'; what was the distance between each station and the house ? Ans.
Seite 57 - As the sum of the two sides Is to their difference, So is the tan of half the sum of the unknown angles To the tan of half the difference of the unknown angles. And this tan half difference added to the half sum of two unknown angles gives the greater angle, and subtracted gives the less angle. Taking the example already given (fig. 29) : — AC + AD = 50 + 40...
Seite 17 - Triangles on the fame Bafe, and between the fame Parallels, are equal ; becaufe they are Half the circumfcribing Parallelograms.
Seite 70 - I meafured from its bottom a diftance of 40 feet, and then took the angle formed by the plane and a line drawn to the top 41"; and going 'on in the fame...
Seite 40 - DE, and ercdl the perpendicular DF ; which, it is evident, will be the tangent, and AF the fecant of the arc DE, or angle A, to the radius AD.