Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)William Somerville Orr W.S. Orr and Company, 1854 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 48
... PROPOSITION I. - PROBLEM . To describe an equilateral triangle ( A B C ) upon a given finite straight line ( A B ) . * Post . 3 . With centre A , and radius AB , describe the circle BCD ; * and with centre B , and the same radius , BA ...
... PROPOSITION I. - PROBLEM . To describe an equilateral triangle ( A B C ) upon a given finite straight line ( A B ) . * Post . 3 . With centre A , and radius AB , describe the circle BCD ; * and with centre B , and the same radius , BA ...
Σελίδα 50
... PROPOSITION V. - THEOREM . The angles ( ABC , ACB ) at the base ( BC ) of an isosceles triangle ( ABC ) are equal ; and if the equal sides ( A B , A C ) be prolonged , the angles ( D BC , EC B ) upon the other side of the base shall be ...
... PROPOSITION V. - THEOREM . The angles ( ABC , ACB ) at the base ( BC ) of an isosceles triangle ( ABC ) are equal ; and if the equal sides ( A B , A C ) be prolonged , the angles ( D BC , EC B ) upon the other side of the base shall be ...
Σελίδα 51
... PROPOSITION VIII . - THEOREM . E F 《 A. B If two triangles ( ABC , DEF ) have two sides ( AB , AC ) of the one equal to two sides ( DE , DF ) of the other , each to each , and have likewise their bases or third sides ( BC , EF ) equal ...
... PROPOSITION VIII . - THEOREM . E F 《 A. B If two triangles ( ABC , DEF ) have two sides ( AB , AC ) of the one equal to two sides ( DE , DF ) of the other , each to each , and have likewise their bases or third sides ( BC , EF ) equal ...
Σελίδα 52
... PROPOSITION IX . - PROBLEM . To bisect a given rectilineal angle ( BAC ) ; that is , to divide it into two equal angles . * Pr . 3 . Take any point D in AB , and from AC cut off AE = AD : * draw DE , and + Pr . 1. upon it describe an ...
... PROPOSITION IX . - PROBLEM . To bisect a given rectilineal angle ( BAC ) ; that is , to divide it into two equal angles . * Pr . 3 . Take any point D in AB , and from AC cut off AE = AD : * draw DE , and + Pr . 1. upon it describe an ...
Σελίδα 54
... PROPOSITION XIV . - THEOREM . If at a point ( B ) in a straight line ( AB ) two other straight lines ( BC , BD ) , upon opposite sides of it , make the adjacent angles ( ABC , A B D ) together equal to two right angles , the two ...
... PROPOSITION XIV . - THEOREM . If at a point ( B ) in a straight line ( AB ) two other straight lines ( BC , BD ) , upon opposite sides of it , make the adjacent angles ( ABC , A B D ) together equal to two right angles , the two ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 86 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 47 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.
Σελίδα 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.
Σελίδα 46 - A rhombus, is that which has all its sides equal, but its angles are not right angles.
Σελίδα 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.