 | James Atkinson - 1765 - 504 sider
...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 - 1806 - 546 sider
...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 sider
...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 - 1819 - 350 sider
...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 - 1827 - 546 sider
...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 sider
...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 - 1837 - 180 sider
...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 - 1837 - 332 sider
...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 - 1842 - 332 sider
...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 - 1846 - 334 sider
...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 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. 
