An introduction to plain trigonometry, with its application to heights and distancesM. Heavisides, for the author, 1792 - 99 Seiten |
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Seite 2
... falls on another right Line , and makes the Angles on each fide equal , it is faid to be perpendicular to the Line on which it falls ; and the Angles are called right Angles . Thus : D C is perpendicular to A B ; and A C B the Angle A ...
... falls on another right Line , and makes the Angles on each fide equal , it is faid to be perpendicular to the Line on which it falls ; and the Angles are called right Angles . Thus : D C is perpendicular to A B ; and A C B the Angle A ...
Seite 4
... fall perpendicular to each other , as A B C. B 15. An Ifofcales Tri- angle is fuch as has two of its Sides equal , as D FE F. D E 16. An equilateral Tri- angle hath all its Sides and 16. An PRACTICAL GEOMETRY . 12. A Chord Line is fuch ...
... fall perpendicular to each other , as A B C. B 15. An Ifofcales Tri- angle is fuch as has two of its Sides equal , as D FE F. D E 16. An equilateral Tri- angle hath all its Sides and 16. An PRACTICAL GEOMETRY . 12. A Chord Line is fuch ...
Seite 33
... fall the Perpendicular DE and B F. Now Da` and Bb being defcribed with the Radii A D and AB , fhew that DE and BF are Sines of their op- pofite Angles ( by Def . 7. ) and fo of AF and AE . Then per fimilar Tri- angles ( Prop . 12. Sect ...
... fall the Perpendicular DE and B F. Now Da` and Bb being defcribed with the Radii A D and AB , fhew that DE and BF are Sines of their op- pofite Angles ( by Def . 7. ) and fo of AF and AE . Then per fimilar Tri- angles ( Prop . 12. Sect ...
Seite 34
... fall the Per- pendicular AB , then is the Triangle con- ftructed geometrically , the Perpendicular mea- furing on a Scale of equal Parts 114 , and Bafe BC 115'1 . Logarithmetically LOGARITHMETICALLY . OGARIT You have the Hypothenufe and ...
... fall the Per- pendicular AB , then is the Triangle con- ftructed geometrically , the Perpendicular mea- furing on a Scale of equal Parts 114 , and Bafe BC 115'1 . Logarithmetically LOGARITHMETICALLY . OGARIT You have the Hypothenufe and ...
Seite 75
... fall the Perpendicular B E. and with that as a Radius , defcribe the Arch , a Eb and draw CD , then will ED be - the Tangent of half the Sum of the two unknown Angles . Draw BF parallel to AC . Then per fimilar Tri- angles Props 12 Sect ...
... fall the Perpendicular B E. and with that as a Radius , defcribe the Arch , a Eb and draw CD , then will ED be - the Tangent of half the Sum of the two unknown Angles . Draw BF parallel to AC . Then per fimilar Tri- angles Props 12 Sect ...
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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.