Elements of Geometry: Containing the First Six Books of Euclid with a Supplement on the Quadrature of the Circle, and the Geometry of Solids : to which are Added, Elements of Plane and Spherical TrigonometryJ.P. Lippincott & Company, 1855 - 318 sider |
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Resultat 1-5 av 59
Side 7
... ratio of one quantity to another , is usually denoted by placing one of the two quantities over the other , in the form of a fraction : Α B thus , signifies the ratio or quotient arising from the division of the quantity A by B. In fact ...
... ratio of one quantity to another , is usually denoted by placing one of the two quantities over the other , in the form of a fraction : Α B thus , signifies the ratio or quotient arising from the division of the quantity A by B. In fact ...
Side 106
... greater contains the less a cer- tain number of times exactly . 3. Ratio is a mutual relation of two magnitudes , of the same kind , to one another , in respect of quantity . 4. Magnitudes are said to be of the same kind ELEMENTS ...
... greater contains the less a cer- tain number of times exactly . 3. Ratio is a mutual relation of two magnitudes , of the same kind , to one another , in respect of quantity . 4. Magnitudes are said to be of the same kind ELEMENTS ...
Side 107
... ratio to one another . 5. If there be four magnitudes , and if any equimultiples whatsoever be taken of the first ... ratio that the third has to the fourth . 6. Magnitudes are said to be proportionals , when the first has the same ratio ...
... ratio to one another . 5. If there be four magnitudes , and if any equimultiples whatsoever be taken of the first ... ratio that the third has to the fourth . 6. Magnitudes are said to be proportionals , when the first has the same ratio ...
Side 108
... ratio which A has to D , then , for shortness ' sake , M is said to have to Na ratio compounded of the same ratios which compound the ratio of A to D ; that is , a ratio compounded of the ratios of E to F , G to H , and K to L. 11. If ...
... ratio which A has to D , then , for shortness ' sake , M is said to have to Na ratio compounded of the same ratios which compound the ratio of A to D ; that is , a ratio compounded of the ratios of E to F , G to H , and K to L. 11. If ...
Side 111
... ratio to the second which the third has to the fourth , and if any equimultiples whatever be taken of the first and third , and any whatever of the second and fourth ; the multiple of the first shall have the same ratio to the multiple ...
... ratio to the second which the third has to the fourth , and if any equimultiples whatever be taken of the first and third , and any whatever of the second and fourth ; the multiple of the first shall have the same ratio to the multiple ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1839 |
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder definition demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC line BC magnitudes meet opposite angle parallel parallelogram parallelopiped perpendicular plane polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
Populære avsnitt
Side 41 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Side 70 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Side 45 - Again, because the angle at B is half a right angle, and FDB a right angle, for it is equal...
Side 91 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Side 273 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Side 25 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Side 130 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Side 61 - THE diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater than one more remote ; and the greater is nearer to the centre than the less.* Let ABCD be a circle, of which...