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 11
... manner similar to the two latter authors : but there is one fault , which most writers on this subject seem to have fallen into , that of demonstrating too particularly the proper- ties of every different section , before they prove the ...
... manner similar to the two latter authors : but there is one fault , which most writers on this subject seem to have fallen into , that of demonstrating too particularly the proper- ties of every different section , before they prove the ...
Página 19
... manner be proved to be equilateral . See note on this proposition . PROP . II . PROB . At a given point ( A ) , to put a right line , equal to a given right line ( BC ) . From the given point A , to either ex- treme C of the given right ...
... manner be proved to be equilateral . See note on this proposition . PROP . II . PROB . At a given point ( A ) , to put a right line , equal to a given right line ( BC ) . From the given point A , to either ex- treme C of the given right ...
Página 29
... manner , the angles AED , CEB may be proved equal . Cor . 1 - Two intersecting right lines ( AB , CD ) , make an- gles , equal to four right angles . Cor . 2 - If more right lines be drawn to the point , wherein two right lines ...
... manner , the angles AED , CEB may be proved equal . Cor . 1 - Two intersecting right lines ( AB , CD ) , make an- gles , equal to four right angles . Cor . 2 - If more right lines be drawn to the point , wherein two right lines ...
Página 33
... manner , the point N may be shewn to be between the points D and M : whence , the circles DKM , NKH , being continued lines between the points D and M , and the points N and H , on each side of the right line DE [ Def . 10 ] , intersect ...
... manner , the point N may be shewn to be between the points D and M : whence , the circles DKM , NKH , being continued lines between the points D and M , and the points N and H , on each side of the right line DE [ Def . 10 ] , intersect ...
Página 38
... manner it may be shewn , that they do not meet towards A , C : since therefore they do not meet towards either part , they are parallel . PROP . XXVIII . THEOR . If a right line ( EF ) , cutting two other right lines ( AB , CD ) , make ...
... manner it may be shewn , that they do not meet towards A , C : since therefore they do not meet towards either part , they are parallel . PROP . XXVIII . THEOR . If a right line ( EF ) , cutting two other right lines ( AB , CD ) , make ...
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.