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 páginas |
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Página 9
... propositions throughout Euclid's Ele- ments , plain and spherical trigonometry , and conick sections , are in general terms ; in order however to avoid repetition and prolixity , and to render the propositions more clear and explicit ...
... propositions throughout Euclid's Ele- ments , plain and spherical trigonometry , and conick sections , are in general terms ; in order however to avoid repetition and prolixity , and to render the propositions more clear and explicit ...
Página 10
... propositions , which are in the fifth book of a manuscript which I then composed ; and thinking it important , on using this definition , to shew how to divide a given right line into any required number of equal parts , without ...
... propositions , which are in the fifth book of a manuscript which I then composed ; and thinking it important , on using this definition , to shew how to divide a given right line into any required number of equal parts , without ...
Página 11
... propositions of the 2nd . B. of the supplement ; but this mode of defining them is useless for any practical purpose ... proposition . This method is pro- ductive of many advantages , for hence it comes to pass , that what belongs to all ...
... propositions of the 2nd . B. of the supplement ; but this mode of defining them is useless for any practical purpose ... proposition . This method is pro- ductive of many advantages , for hence it comes to pass , that what belongs to all ...
Página 13
... Proposition , proposes something to be done or demonstrated . A Problem , proposes something to be done , which , when taken for granted as obvious or self - evident , is called a postulate . A Theorem , proposes something to be ...
... Proposition , proposes something to be done or demonstrated . A Problem , proposes something to be done , which , when taken for granted as obvious or self - evident , is called a postulate . A Theorem , proposes something to be ...
Página 18
... produced towards the part ( B , D ) , on which the interior angles taken together are least , as to meet . See note to Prop . 29th of this book . PROPOSITION I. PROBLEM . Upon a given right finite line 18 BOOK I. EUCLID'S ELEMENTS.
... produced towards the part ( B , D ) , on which the interior angles taken together are least , as to meet . See note to Prop . 29th of this book . PROPOSITION I. PROBLEM . Upon a given right finite line 18 BOOK I. EUCLID'S ELEMENTS.
Otras ediciones - Ver todas
Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen Sin vista previa disponible - 2023 |
Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen Sin vista previa disponible - 2018 |
Términos y frases comunes
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
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Página 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 ;
Página 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...
Página 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.
Página 176 - If two triangles have an angle of one equal to an angle of the other...
Página 118 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Página 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.
Página 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.
Página 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.
Página 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.
Página 49 - Equal triangles on the same base, and on the same side of it, are between the same parallels.