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 sider |
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Resultat 1-5 av 78
Side 9
... proportional magni- tudes are defined by submultiples , instead of Euclid's method by multiples ; as this definition varies but little from that given by Mr. Elrington , in his edition of Euclid's elements , I think it proper , to be ...
... proportional magni- tudes are defined by submultiples , instead of Euclid's method by multiples ; as this definition varies but little from that given by Mr. Elrington , in his edition of Euclid's elements , I think it proper , to be ...
Side 129
... proportional magnitudes , the middle one , is said to be , a mean proportional , between the other two ; and the last , a third proportional , to the first and second . 11. Of four proportional magnitudes , the last is said to be a ...
... proportional magnitudes , the middle one , is said to be , a mean proportional , between the other two ; and the last , a third proportional , to the first and second . 11. Of four proportional magnitudes , the last is said to be a ...
Side 130
... proportional , that the first and second together is to the second , as the third and fourth together to the fourth . Prop . 18th of this book . 19. Dividing ; when it is inferred , if four magnitudes be pro portional , that the ...
... proportional , that the first and second together is to the second , as the third and fourth together to the fourth . Prop . 18th of this book . 19. Dividing ; when it is inferred , if four magnitudes be pro portional , that the ...
Side 136
... proportional magnitudes ( AB , CD , EF , GH ) , and equimul- tiples ( IK , NO ) of the antecedents ( AB , EF ) be taken and equimulti- ples ( LM , PQ ) of the consequents ( CD , GH ) ; G - H these are also proportional . E Ꮓ F N US P ...
... proportional magnitudes ( AB , CD , EF , GH ) , and equimul- tiples ( IK , NO ) of the antecedents ( AB , EF ) be taken and equimulti- ples ( LM , PQ ) of the consequents ( CD , GH ) ; G - H these are also proportional . E Ꮓ F N US P ...
Side 138
... proportional . D E- F— Take any equimultiples whatever E and F of B and D ; E and F are equal ( Hyp . and Ax . 2. 5 ) , and are therefore con- tained equally often in the equals A and C ( Cor . 3. Ax . B. 5 ) , therefore A is to B , as ...
... proportional . D E- F— Take any equimultiples whatever E and F of B and D ; E and F are equal ( Hyp . and Ax . 2. 5 ) , and are therefore con- tained equally often in the equals A and C ( Cor . 3. Ax . B. 5 ) , therefore A is to B , as ...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ... Rev. John Allen Uten tilgangsbegrensning - 1822 |
Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen Ingen forhåndsvisning tilgjengelig - 2023 |
Euclid's Elements of Geometry, the First Six Books: To Which Are Added ... John Allen Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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 ;
Side 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...
Side 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.
Side 176 - If two triangles have an angle of one equal to an angle of the other...
Side 118 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 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.
Side 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.
Side 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.
Side 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.
Side 49 - Equal triangles on the same base, and on the same side of it, are between the same parallels.