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" ... the angle CGH (1. PI. Tr.): But since CG, HG are at right angles to DGB, which is the common section of the planes CBD, ABD, the angle CGH will be equal to the inclination of these planes (6. "
Epitome of the Art of Navigation: Or, A Short, Easy and Methodical Way to ... - Page 138
by James Atkinson - 1770 - 447 pages
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Epitome of the Art of Navigation; Or, a Short, Easy, and Methodical Way to ...

James Atkinson - Navigation - 1765 - 504 pages
...Side CD 3 This Triangle is made by Prob. 16, of Spberic Trigonometry Geometric, in Pages 128 and 129. 1. For the oppofite Angle ACD, the Proportion (by Axiom i.) is thus ; ' As the Sine of the Side*AC, is to the Sine of the Angle ADC ; So is the Sine «f the Side AD, to the Sine of the Angle...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...11.); that is, to the spherical angle ABC. The sine, therefore, of the hypothenuse CB is to the radius as the sine of the side AC is to the sine of the opposite angle ABC. QED CoR. Of these three, viz. the hypothenuse, a side, and the angle opposite to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...11). that is, to the spherical angle ABC. The sine therefore of the hypothenuse CB, is to the radius as the sine of the side AC is to the sine of the opposite angle ABC. QED COR. Of these three, viz. the hypothenuse, a side, and the angle opposite to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...BC is to the sine of the angle A, as the sine of AB to the sine of the angle C ; wherefore (11. 5.) the sine of the side AC is to the sine of the angle B, as the sine of AB to the sine of the angle C. Secondly, Let ABC be an oblique angled triangle,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...11.), that is, to the spherical angle ABC. The sine therefore of the hypothenuse CB, is to the radius as the sine of the side AC is to the sine of the opposite angle ABC. QED COR. Of these three, viz. the hypothenuse, a side, and the angle opposite to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...1,) that is, to the spherical angle ABC. Therefore the sine of the hypotenuse CB is to the radius, as the sine of the side AC is to the sine of the opposite angle ABC. QED COR. Of these three, viz. the hypotenuse, a side, and the angle opposite to...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...4), that is, to the spherical angle ABC. The sine, therefore, of the hypotenuse CB is to the radius as the sine of the side AC is to the sine of the opposite angle ABC. COR. — Of these three, namely, the hypotenuse, a side, and the angle opposite...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...BC is to the sine of the angle A, as the sine of AB to the sine of the angle C ; wherefore (] 1. 5.) the sine of the side AC is to the sine of the angle B, as the sine of AB to the sine of the angle C. Secondly, Let ABC be an oblique angled triangle,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...BC is to the sine of the angle A, as the sine of AB to the sine of the angle C ; wherefore (11. 5.) the sine of the side AC is to the sine of the angle B, as the sine of AB to the sine of the angle C. Secondly, Let ABC be an oblique angled triangle,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...BC is to the sine of the angle A, as the sine of AB to the sine of the angle C ; wherefore (11. 5.) the sine of the side AC is to the sine of the angle B, as the sine of AB to the sine of the angle C. Secondly, Let ABC be an oblique angled triangle,...
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