Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)William Somerville Orr W.S. Orr and Company, 1854 |
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Página iv
... ratios of straight lines , related in a certain fixed manner to the angles . These are called the sines , tangents , & c . of the angles . Their relations and axes are discussed in the treatise on Plane Trigonometry , which contains ...
... ratios of straight lines , related in a certain fixed manner to the angles . These are called the sines , tangents , & c . of the angles . Their relations and axes are discussed in the treatise on Plane Trigonometry , which contains ...
Página vii
... Ratio and Proportion 201-217 Number 289 , 291 218 Arithmetical and Geometrical Pro- PLANE TRIGONOMETRY 292 gressions 220-224 Extraction of Square Roots 228-232 • On representing Lines and Angles by Numbers 292 To Extract the Cube Root ...
... Ratio and Proportion 201-217 Number 289 , 291 218 Arithmetical and Geometrical Pro- PLANE TRIGONOMETRY 292 gressions 220-224 Extraction of Square Roots 228-232 • On representing Lines and Angles by Numbers 292 To Extract the Cube Root ...
Página viii
... Ratios The Use of the Negative Sign to denote Position Extension of the Definitions of Angles and Trigonometrical Ratios 298 , 300 On the Magnitudes of the Trigo- nometrical Functions of Angles . Angles which have the same Sine or ...
... Ratios The Use of the Negative Sign to denote Position Extension of the Definitions of Angles and Trigonometrical Ratios 298 , 300 On the Magnitudes of the Trigo- nometrical Functions of Angles . Angles which have the same Sine or ...
Página 31
... ratio of 6 to 3 is 2 , and the ratio of 8 to 4 is 2 ; ratio being only another name for the quotient of two quantities of the same kind . A proportion is thus said to be an equality of ratios : ratio implies two terms ; proportion ...
... ratio of 6 to 3 is 2 , and the ratio of 8 to 4 is 2 ; ratio being only another name for the quotient of two quantities of the same kind . A proportion is thus said to be an equality of ratios : ratio implies two terms ; proportion ...
Página 132
... ratio has been the source of very considerable embarrassment to Geometers since the time of Euclid , and has been ... ratio , as it is called above , before any name is given to the conception . It is this equality of ratios of two ...
... ratio has been the source of very considerable embarrassment to Geometers since the time of Euclid , and has been ... ratio , as it is called above , before any name is given to the conception . It is this equality of ratios of two ...
Términos y frases comunes
ABCD Algebra arithmetic base Binomial Theorem bisect calculation called centre chord circumference coefficient common Completing the square contained cotan decimals denominator describe diameter divided dividend divisor draw ellipse equal angles equation equiangular equilateral Euclid EXAMPLES FOR EXERCISE expression exterior angle factors figure formula fraction frustum geometrical progression geometry given straight line greater h₂ Hence inscribed intersecting join latter less logarithm magnitudes manner measure multiplied operation parallel parallelogram perpendicular plane polygon prism Prop proportion proved Q. E. D. PROPOSITION quantity quotient radius ratio rectangle remainder result right angles rule sides sines solid angle sphere square root subtract suppose theorem third triangle ABC trigonometrical
Pasajes populares
Página 86 - If two triangles have two sides of the one equal to two sides of the...
Página 60 - If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Página 58 - ... equal angles in each ; then shall the other sides be equal each to each : and also the third angle of the one to the third angle of the other.
Página 45 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 190 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 47 - Let it be granted that a straight line may be drawn from any one point to any other point.
Página 151 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional ; and parallelograms that have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Página 96 - angle in a segment' is the angle contained by two straight lines drawn from any point in the circumference of the segment, to the extremities of the straight line which is the base of the segment.
Página 46 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Página 66 - From this it is manifest how to a given straight line to apply a parallelogram, which shall have an angle equal to a given rectilineal angle, and shall be equal to a given rectilineal figure, viz.