Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Resultat 1-5 av 5
Side 26
making an angle DOE , measured by the arch ED ; the plane DOE being
supposed perpendicular to the diameter AL , at the center Q. Let AB be the base
of the proposed triangle , BC the perpendicular , AC the hypothenuse , and BAC (
or ...
making an angle DOE , measured by the arch ED ; the plane DOE being
supposed perpendicular to the diameter AL , at the center Q. Let AB be the base
of the proposed triangle , BC the perpendicular , AC the hypothenuse , and BAC (
or ...
Side 31
... and EF and OK perpendicular to AO , and let the latter meet EC ( produced ) in
I ; lastly , draw QDK perpendicular to ... Land K. Because CD = BD , it is manifest
that OD is not only perpendicular to the chord BC , but bisects it in E ; whence ...
... and EF and OK perpendicular to AO , and let the latter meet EC ( produced ) in
I ; lastly , draw QDK perpendicular to ... Land K. Because CD = BD , it is manifest
that OD is not only perpendicular to the chord BC , but bisects it in E ; whence ...
Side 37
1 : fine BCD ( by Cor . to Theor . 3. ) whence ACB is also knowil . All the thiee An
angle , As tang : AB : tang . AC + BC lides AB , AC fuppose A AC - BC : ; tang 1
tang . DE , the Jdistance of the perpendicular from the middle of the base ( by Cor
.
1 : fine BCD ( by Cor . to Theor . 3. ) whence ACB is also knowil . All the thiee An
angle , As tang : AB : tang . AC + BC lides AB , AC fuppose A AC - BC : ; tang 1
tang . DE , the Jdistance of the perpendicular from the middle of the base ( by Cor
.
Side 63
1 F As the tangent of the vertical angle C of a plane triangle ABC , is to radius , so
is balf the base AB to a fourth proportional ; and as half the base is to the excess
of the perpendicular above the said fourthproportional , so is the fine of the ...
1 F As the tangent of the vertical angle C of a plane triangle ABC , is to radius , so
is balf the base AB to a fourth proportional ; and as half the base is to the excess
of the perpendicular above the said fourthproportional , so is the fine of the ...
Side 65
D E B В Let HG , perpendicular to AB , be the diameter of a circle described about
the triangle ; and let HD and Hd be perpendicular to the two sides of the triangle ;
also let cf be A parallel to AB , and let HA , HB and HC , be H drawn . Since the ...
D E B В Let HG , perpendicular to AB , be the diameter of a circle described about
the triangle ; and let HD and Hd be perpendicular to the two sides of the triangle ;
also let cf be A parallel to AB , and let HA , HB and HC , be H drawn . Since the ...
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Vanlige uttrykk og setninger
added alſo appears arch balf baſe becauſe called caſe chord circle co-f co-fine AC co-tang common complement conſequently COROL COROLLARY demonſtrated determine diameter difference divided drawn Edition equal equal to half evident exceſs extremes fame fides fine fines firſt follows given gives gles great-circles greater half the difference half the ſum Hence hyperbolic logarithm hypothenuſe known laſt logarithm manifeſt meeting method minute Moreover natural Note oppoſite parallel perpendicular plane triangle ABC preceding PROP proportion propoſed radius reſpectively ſame ſecant ſee ſeries ſhall ſides ſince ſine ſum ſuppoſed tang tangent of half Tbeor Theor THEOREM thereof theſe thoſe unity verſed vertical angle whence
Bibliografisk informasjon
| Tittel | Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. Eighteenth century collections online |
| Forfatter | Thomas Simpson |
| Utgave | 5 |
| Utgiver | F. Wingrave, successor to Mr. Nourse, 1799 |
| Original fra | The British Library |
| Digitalisert | 30. sep 2016 |
| Lengde | 79 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |