Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle and the Geometry of Solids ... |
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Side ix
In the same manner , the quadrature of the circle is performed only by approximation , or by finding two rectangles nearly equal to one another , one of them greater , and another less than the space contained within the circle .
In the same manner , the quadrature of the circle is performed only by approximation , or by finding two rectangles nearly equal to one another , one of them greater , and another less than the space contained within the circle .
Side x
introducing a mode of reasoning less rigorous than that of the Greek Geometer ; for this would be to pay too dear even for the time that might thereby be saved ; but it is done chiefly by laying aside a certain rule , which , though it ...
introducing a mode of reasoning less rigorous than that of the Greek Geometer ; for this would be to pay too dear even for the time that might thereby be saved ; but it is done chiefly by laying aside a certain rule , which , though it ...
Side 23
15 From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is the D greater . It is required to cut off from AB , the greater , a part equal to C ...
15 From the greater of two given straight lines to cut off a part equal to the less . Let AB and C be the two given straight lines , whereof AB is the D greater . It is required to cut off from AB , the greater , a part equal to C ...
Side 24
... AC be produced to D and È , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater cut off AG equal ( 3. 1. ) to AF , the less , and join FC , GB .
... AC be produced to D and È , the angle ABC shall be equal to the angle ACB , and the angle CBD to the angle BCE . In BD take any point F , and from AE the greater cut off AG equal ( 3. 1. ) to AF , the less , and join FC , GB .
Side 25
off DB equal to AC the less , and join DC ; therefore , beA cause in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , D CB , each to each ; but the angle DBC is also ...
off DB equal to AC the less , and join DC ; therefore , beA cause in the triangles DBC , ACB , DB is equal to AC , and BC common to both , the two sides DB , BC are equal to the two AC , D CB , each to each ; but the angle DBC is also ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1824 |
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC arch base bisected Book called centre circle circle ABC circumference coincide common cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior extremity fall fore four fourth given given straight line greater half inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism produced PROP proportionals proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR thing third touches triangle ABC wherefore whole
Populære avsnitt
Side 153 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle...
Side 19 - 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.
Side 33 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.
Side 292 - 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 308 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 36 - IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other.
Side 18 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Side 78 - To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle.
Side 77 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Side 39 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together equal to two right angles.
Bibliografisk informasjon
| Tittel | Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle and the Geometry of Solids ... |
| Forfatter | John Playfair |
| Utgiver | J. Eastburn & Company, 1819 |
| Original fra | New York Public Library |
| Digitalisert | 21. jun 2006 |
| Lengde | 317 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |