Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)William Somerville Orr W.S. Orr and Company, 1854 |
Im Buch
Ergebnisse 1-5 von 48
Seite 45
... circumference of the circle : it is such , that all straight lines , drawn from a certain point within the figure to the circumference , are equal to one another . XIII . This point is called the centre of the circle . And any line ...
... circumference of the circle : it is such , that all straight lines , drawn from a certain point within the figure to the circumference , are equal to one another . XIII . This point is called the centre of the circle . And any line ...
Seite 72
... circumference of a circle , the straight line which joins them shall fall within the circle " -is a proposition as self - evident , to any one who has a clear conception of a circle , as that which affirms that " two straight lines ...
... circumference of a circle , the straight line which joins them shall fall within the circle " -is a proposition as self - evident , to any one who has a clear conception of a circle , as that which affirms that " two straight lines ...
Seite 76
... circumference of the outer circle . A line AL will thus have been drawn equal to BC , and there will be no excess of length to throw away . This is the mode of proceeding adopted in the present edition . As to the other two problems ...
... circumference of the outer circle . A line AL will thus have been drawn equal to BC , and there will be no excess of length to throw away . This is the mode of proceeding adopted in the present edition . As to the other two problems ...
Seite 77
... circumference , is in danger of being overlooked by a beginner , in consequence of Euclid's mode of expression , in reference to intersecting circumferences . Proposition IV . is the first of Euclid's theorems ; and , being the first ...
... circumference , is in danger of being overlooked by a beginner , in consequence of Euclid's mode of expression , in reference to intersecting circumferences . Proposition IV . is the first of Euclid's theorems ; and , being the first ...
Seite 95
... circumference to the four corners of the parallelogram , will always amount to the same sum . 7. In any quadrilateral the sum of the squares of the four sides is equal to the sum of the squares of the diagonals , together with four ...
... circumference to the four corners of the parallelogram , will always amount to the same sum . 7. In any quadrilateral the sum of the squares of the four sides is equal to the sum of the squares of the diagonals , together with four ...
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.