| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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,... | |
| 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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