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 14
... centre of the circle . 12. The bounding line ( ADBA ) , is called its circumference or periphery . 13. A diameter of a circle , is a right line , passing through the centre , and terminated both ways by the circumference , ( as AB ) ...
... centre of the circle . 12. The bounding line ( ADBA ) , is called its circumference or periphery . 13. A diameter of a circle , is a right line , passing through the centre , and terminated both ways by the circumference , ( as AB ) ...
Σελίδα 17
... centre , at any distance from that centre , a circle may be described . AXIOMS . 1. Things , which are equal to the same thing , are equal : > each other . 2. If to equals , equals be added , the wholes are equal . 3. If from equals ...
... centre , at any distance from that centre , a circle may be described . AXIOMS . 1. Things , which are equal to the same thing , are equal : > each other . 2. If to equals , equals be added , the wholes are equal . 3. If from equals ...
Σελίδα 19
... centre A , at the dis- tance AB , describe the circle BEC ( post . 3 ) . From the centre B , at the distance BA , describe the circle AED ( post . 3 ) . Pro- duce AB both ways ( post . 2 ) , so as to meet these circles in the points C ...
... centre A , at the dis- tance AB , describe the circle BEC ( post . 3 ) . From the centre B , at the distance BA , describe the circle AED ( post . 3 ) . Pro- duce AB both ways ( post . 2 ) , so as to meet these circles in the points C ...
Σελίδα 33
... centre F , at the distance FD , describe the circle DKM , and from the centre G , at the distance GH , describe the circle NKH [ Post . 3 ] ; and , since A and C , or their equals FM , NG to- gether , are greater than B or FG [ Hyp ...
... centre F , at the distance FD , describe the circle DKM , and from the centre G , at the distance GH , describe the circle NKH [ Post . 3 ] ; and , since A and C , or their equals FM , NG to- gether , are greater than B or FG [ Hyp ...
Σελίδα 80
... centre of a circle , when the perpen- diculars drawn to them from the centre are equal . See def . 21. Book 1 . 5. And the right line , on which the greater perpendicular falls , is said to be more remote from the centre . 6. A segment ...
... centre of a circle , when the perpen- diculars drawn to them from the centre are equal . See def . 21. Book 1 . 5. And the right line , on which the greater perpendicular falls , is said to be more remote from the centre . 6. A segment ...
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.