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 93
Side 23
... course , the angle BDC , which is greater than ADC [ Ax . 9 ] , is greater than BCD : but , because the sides BC , BD of the triangle BDC are equal [ Hyp . ] , the angles BDC , BCD are equal [ 5. 1. ] ; therefore the angle BDC is both ...
... course , the angle BDC , which is greater than ADC [ Ax . 9 ] , is greater than BCD : but , because the sides BC , BD of the triangle BDC are equal [ Hyp . ] , the angles BDC , BCD are equal [ 5. 1. ] ; therefore the angle BDC is both ...
Side 24
... , EF also equal [ Constr . ] ; therefore the angles DAF , EAF are equal [ 8. 1 ] , and of course the given angle BAC is bisected by the right line AF . A A B D E - Cor . By the aid of this proposition , 24 BOOK I. EUCLID'S ELEMENTS.
... , EF also equal [ Constr . ] ; therefore the angles DAF , EAF are equal [ 8. 1 ] , and of course the given angle BAC is bisected by the right line AF . A A B D E - Cor . By the aid of this proposition , 24 BOOK I. EUCLID'S ELEMENTS.
Side 26
... course equal [ Ax . 8 ] . PROP . XII . PROB . From a given point ( C ) , without a given right line ( AB ) , pro- ducible at pleasure , to draw a perpendicular to it . Let any point whatever , as D , be taken on the other side of AB ...
... course equal [ Ax . 8 ] . PROP . XII . PROB . From a given point ( C ) , without a given right line ( AB ) , pro- ducible at pleasure , to draw a perpendicular to it . Let any point whatever , as D , be taken on the other side of AB ...
Side 27
... course CG is perpendicular to AB ( Def . 20 ) . give us the pleural of Causa " , ( it must be causa PROP . XIII . THEOR . The angles ( ABC , ABD ) , which one right line ( AB ) , makes with another ( CD ) , on one side of it , are ...
... course CG is perpendicular to AB ( Def . 20 ) . give us the pleural of Causa " , ( it must be causa PROP . XIII . THEOR . The angles ( ABC , ABD ) , which one right line ( AB ) , makes with another ( CD ) , on one side of it , are ...
Side 30
... course ABC , which is greater than ABD [ Ax . 9 ] , is also greater than C. PROP . XIX . PROB . If two angles ( B , C ) , of a triangle ( ABC ) , be unequal ; the side ( AC ) opposite the greater angle ( B ) , is greater than that ( AB ) ...
... course ABC , which is greater than ABD [ Ax . 9 ] , is also greater than C. PROP . XIX . PROB . If two angles ( B , C ) , of a triangle ( ABC ) , be unequal ; the side ( AC ) opposite the greater angle ( B ) , is greater than that ( AB ) ...
Andre utgaver - Vis alle
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.