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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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 54
... square . From the point A , draw AC at right c angles to AB ( 11. 1 ) , on which take ÅD D equal to AB ( 3. 1 ) , and complete the paral- lelogram AE ( Cor . 6. 34. 1 ) . Because AB , AD are equal ( Constr . ) , and the sides DE , EB ...
... square . From the point A , draw AC at right c angles to AB ( 11. 1 ) , on which take ÅD D equal to AB ( 3. 1 ) , and complete the paral- lelogram AE ( Cor . 6. 34. 1 ) . Because AB , AD are equal ( Constr . ) , and the sides DE , EB ...
Σελίδα 57
... square of EF is equal to the excess of the square of AB above that of BE or C. PROP . XLVIII . THEOR . If the square of one side ( BC ) , of a triangle ( ABC ) , be equal to the squares of the other two sides ( AB , AC ) ; the angle ...
... square of EF is equal to the excess of the square of AB above that of BE or C. PROP . XLVIII . THEOR . If the square of one side ( BC ) , of a triangle ( ABC ) , be equal to the squares of the other two sides ( AB , AC ) ; the angle ...
Σελίδα 60
... square of the first mentioned part ( AB ) . D E T A Z B On AB describe the square AE [ 46. 1 ] , and through C draw CF parallel to BE , meeting DE produced in F. The rectangle AF , is equal to the square AE , with the rect- angle BF ...
... square of the first mentioned part ( AB ) . D E T A Z B On AB describe the square AE [ 46. 1 ] , and through C draw CF parallel to BE , meeting DE produced in F. The rectangle AF , is equal to the square AE , with the rect- angle BF ...
Σελίδα 61
... square of the greater , of two unequal right lines , is greater than the rectangle under the greater and their difference , and the square of either of two right lines , is less than the rectangle under it and their sum , by the ...
... square of the greater , of two unequal right lines , is greater than the rectangle under the greater and their difference , and the square of either of two right lines , is less than the rectangle under it and their sum , by the ...
Σελίδα 62
... square of a right line , is four - fold the square of its half . For , a right line being bisected , the rectangle under the parts , is equal to the square of the half line . PROP . V. THEOR . If a right line ( AB ) , be divided into ...
... square of a right line , is four - fold the square of its half . For , a right line being bisected , the rectangle under the parts , is equal to the square of the half line . PROP . V. THEOR . If a right line ( AB ) , be divided into ...
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.