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 20
... equal to the given right line BC . For DH and DE are equal , being radiuses of the same circle EGH [ Def . 10 ] ; taking from them the parts DA , DC , which are equal , being sides of the equilateral triangle ADC , the residues AH , CE ...
... equal to the given right line BC . For DH and DE are equal , being radiuses of the same circle EGH [ Def . 10 ] ; taking from them the parts DA , DC , which are equal , being sides of the equilateral triangle ADC , the residues AH , CE ...
Σελίδα 22
... equal to BEA , the side DB to AE , and , taking the equals CA , CB , from the equals CD , CE , the side AD to BE [ Ax . 3 ] , therefore the angles DAB , ABE , which are the angles under the base , are equal [ 4. 1 ] . And , in the same ...
... equal to BEA , the side DB to AE , and , taking the equals CA , CB , from the equals CD , CE , the side AD to BE [ Ax . 3 ] , therefore the angles DAB , ABE , which are the angles under the base , are equal [ 4. 1 ] . And , in the same ...
Σελίδα 23
... equal , ( namely AC to AD , and BC to BD ) . For , if possible , let ACB , ADB be such ; and first , let the vertex of each fall without the other . D Join CD , and because , in the triangle CAD , the sides AC , AD are equal [ Hyp ...
... equal , ( namely AC to AD , and BC to BD ) . For , if possible , let ACB , ADB be such ; and first , let the vertex of each fall without the other . D Join CD , and because , in the triangle CAD , the sides AC , AD are equal [ Hyp ...
Σελίδα 24
... equal to the two sides ( FD , FE ) of the other , and have also their bases ( AB , DE ) equal ; the vertical angles ( C , F ) are equal . For the triangle ABC being so applied to the triangle DEF , that the point A may coincide with the ...
... equal to the two sides ( FD , FE ) of the other , and have also their bases ( AB , DE ) equal ; the vertical angles ( C , F ) are equal . For the triangle ABC being so applied to the triangle DEF , that the point A may coincide with the ...
Σελίδα 27
... equal , by construction , CG common , and the bases CE , CF equal , being radiuses of the same circle EDF ( Def . 10 ) ; therefore the angles CGE , CGF are equal ( 8. 1 ) , and of course CG is perpendicular to AB ( Def . 20 ) . give us ...
... equal , by construction , CG common , and the bases CE , CF equal , being radiuses of the same circle EDF ( Def . 10 ) ; therefore the angles CGE , CGF are equal ( 8. 1 ) , and of course CG is perpendicular to AB ( Def . 20 ) . give us ...
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.