Euclid's Elements of Geometry: The Six First Books. To which are Added, Elements of Plain and Spherical Trigonometry, a System of Conick Sections, Elements of Natural Philosophy, as Far as it Relates to Astronomy, According to the Newtonian System, and Elements of Astronomy: with NotesCushing and Jewett, 1822 - 494 σελίδες |
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Σελίδα 206
... ellipse ; any right line ( QP ) , passing through the centre , and terminated both ways by the ellipse , a diameter ; the points ( Q and P ) , wherein it meets the ellipse , the vertices of the diameter ; the diameter ( AB ) which ...
... ellipse ; any right line ( QP ) , passing through the centre , and terminated both ways by the ellipse , a diameter ; the points ( Q and P ) , wherein it meets the ellipse , the vertices of the diameter ; the diameter ( AB ) which ...
Σελίδα 208
... ellipse or hyperbola , each of which is parallel to a tangent , passing through a vertex of the other , are called , conjugate diameters . From the 12th definition it is manifest , that either of two con- jugate diameters is ordinately ...
... ellipse or hyperbola , each of which is parallel to a tangent , passing through a vertex of the other , are called , conjugate diameters . From the 12th definition it is manifest , that either of two con- jugate diameters is ordinately ...
Σελίδα 209
... ellipse or hyperbo- la to its second axis , be the same , as that of the principal to the second axis , of another ellipse or hyperbola , these two ellipses or hyperbolas are said to be similar . A C D B 24. If a right line ( AB ) be so ...
... ellipse or hyperbo- la to its second axis , be the same , as that of the principal to the second axis , of another ellipse or hyperbola , these two ellipses or hyperbolas are said to be similar . A C D B 24. If a right line ( AB ) be so ...
Σελίδα 210
... ellipse described from the points E and F as focuses , and through the point P ( by Def . 2. 1. Sup ) . 2. That , from any two given points as focuses , and through any other given point neither in the production of a right line join ...
... ellipse described from the points E and F as focuses , and through the point P ( by Def . 2. 1. Sup ) . 2. That , from any two given points as focuses , and through any other given point neither in the production of a right line join ...
Σελίδα 211
... distance from the point F greater than any given distance , namely , if a square be taken , the length of whose side KQis greater than that distance . PROPOSITION 1. THEOREM . In ellipses ( as APB , BOOK I. 211 CONICK SECTIONS .
... distance from the point F greater than any given distance , namely , if a square be taken , the length of whose side KQis greater than that distance . PROPOSITION 1. THEOREM . In ellipses ( as APB , BOOK I. 211 CONICK SECTIONS .
Άλλες εκδόσεις - Προβολή όλων
Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
angle ACB arch asymptote bisected centre centripetal force circle circumference conical surface conick section described diameter difference directrix distance draw ellipse ellipse or hyperbola equal angles equal Ax equal Cor equal Hyp equiangular Euclid's Elements focus given right line greater half sum inscribed less let fall magnitudes meeting the section opposite hyperbolas opposite sections ordinately applied parabola parallel parallelogram perpendicular plain principal vertex PROB produced PROP proportional proposition quadrant radius rect rectangle right angles right line drawn Scholium secant section or opposite segments semidiameter severally equal shewn sides sine spherical triangle square of CB submultiple tangent THEOR triangle ABC vertex whence
Δημοφιλή αποσπάσματα
Σελίδα 2 - In conformity to the act of Congress of the United States, entitled, " An act for the encouragement of learning, by securing the copies of maps, charts and books, to the authors and proprietors of such copies, during the times therein mentioned ;
Σελίδα 2 - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Σελίδα 42 - Therefore all the interior angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Σελίδα 176 - If two triangles have an angle of one equal to an angle of the other...
Σελίδα 118 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Σελίδα 15 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Σελίδα 444 - Absolute, true, and mathematical time, of itself, and from its own nature, flows equably without relation to anything external, and by another name is called duration: relative, apparent, and common time, is some sensible and external (whether accurate or unequable) measure of duration by the means of motion, which is commonly used instead of true time; such as an hour, a day, a month, a year.
Σελίδα 96 - Upon the same straight line, and upon the same side of it, there cannot be two similar segments of circles, not coinciding with one another.
Σελίδα 386 - ... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.
Σελίδα 49 - Equal triangles on the same base, and on the same side of it, are between the same parallels.