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 96
... touch a circle when it meets the circle , and being prolonged , does not cut it . II . ох Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be equally distant from the ...
... touch a circle when it meets the circle , and being prolonged , does not cut it . II . ох Circles are said to touch one another , which meet , but do not cut one another . III . Straight lines are said to be equally distant from the ...
Página 99
... touch one another they shall not have the same centre . Let them touch at C , then if they have a common centre , Draw FC , and FEB , meeting the circumferences Then , because F is the centre of ABC , FC = let it be F. in E and B. * Def ...
... touch one another they shall not have the same centre . Let them touch at C , then if they have a common centre , Draw FC , and FEB , meeting the circumferences Then , because F is the centre of ABC , FC = let it be F. in E and B. * Def ...
Página 101
... touch another ( ABC ) internally in a point ( A ) , the straight line which joins their centres being prolonged , shall pass through the point of contact ( A ) . Let F be the centre of ABC , and G the centre of ADE ; FG when prolonged ...
... touch another ( ABC ) internally in a point ( A ) , the straight line which joins their centres being prolonged , shall pass through the point of contact ( A ) . Let F be the centre of ABC , and G the centre of ADE ; FG when prolonged ...
Página 102
... touch another in more than one point , whether it touch it on the inside or on the outside . For , if it be supposed possible , let the circle EBF touch the circle ABC in two points ; and first on the inside , in the points B , D. Join ...
... touch another in more than one point , whether it touch it on the inside or on the outside . For , if it be supposed possible , let the circle EBF touch the circle ABC in two points ; and first on the inside , in the points B , D. Join ...
Página 104
... touch the circle . * 1 III . First let the given point be without the circle as A. Find E the centre , * and draw AE , cutting the circle in D ; and with centre E , and radius EA , describe the + 11 I. circle AFG ; from D draw DF at ...
... touch the circle . * 1 III . First let the given point be without the circle as A. Find E the centre , * and draw AE , cutting the circle in D ; and with centre E , and radius EA , describe the + 11 I. circle AFG ; from D draw DF at ...
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.