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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Seite 32
... equal , we know that two equal fractions will also result from inverting their terms , so that from the above we may infer that Second term Fourth term = First term Third term These being abstract numbers , we may multiply any quantity ...
... equal , we know that two equal fractions will also result from inverting their terms , so that from the above we may infer that Second term Fourth term = First term Third term These being abstract numbers , we may multiply any quantity ...
Seite 46
... equal , and only one of the angles affirmed to be right , the other three angles must be right , of necessity , as ... equal or not . XXVIII . A rhombus is that which has all its sides equal , but its angles are not right angles . XXIX ...
... equal , and only one of the angles affirmed to be right , the other three angles must be right , of necessity , as ... equal or not . XXVIII . A rhombus is that which has all its sides equal , but its angles are not right angles . XXIX ...
Seite 47
... equal to the same thing are equal to one another . II . If equals be added to equals , the wholes will be equal . III . If equals be taken from equals , the remainders will be equal . IV . If equals be added to unequals , the wholes ...
... equal to the same thing are equal to one another . II . If equals be added to equals , the wholes will be equal . III . If equals be taken from equals , the remainders will be equal . IV . If equals be added to unequals , the wholes ...
Seite 48
... equal to one another . VIII . Magnitudes which coincide , or which may be conceived to coincide , with one another , are equal . The whole is greater than its part . IX . X. Two straight lines cannot enclose a space . XI . All right ...
... equal to one another . VIII . Magnitudes which coincide , or which may be conceived to coincide , with one another , are equal . The whole is greater than its part . IX . X. Two straight lines cannot enclose a space . XI . All right ...
Seite 49
... equal ; † so are each equal to B G , and are , consequently , equal to each other . * K H Ꭰ A B G Wherefore , from the given point , A , a straight line , AL , has been drawn equal to BC . Which was to be done . PROPOSITION III ...
... equal ; † so are each equal to B G , and are , consequently , equal to each other . * K H Ꭰ A B G Wherefore , from the given point , A , a straight line , AL , has been drawn equal to BC . Which was to be done . PROPOSITION III ...
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 86 - If two triangles have two sides of the one equal to two sides of the...
Seite 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...
Seite 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.
Seite 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.
Seite 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.
Seite 47 - Let it be granted that a straight line may be drawn from any one point to any other point.
Seite 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.
Seite 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.
Seite 46 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Seite 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.