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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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 17
... subtraction of the greater , being the less . 6. Things , which are double of the same , are equal to each other . 7. Things , which are halves of the same , BOOK I. 17 OF GEOMETRY . 37. An oblong, one, which has all its ...
... subtraction of the greater , being the less . 6. Things , which are double of the same , are equal to each other . 7. Things , which are halves of the same , BOOK I. 17 OF GEOMETRY . 37. An oblong, one, which has all its ...
Σελίδα 43
... double to ADB . Secondly , let the point C be within the triangle ADB , as in fig . 2. Draw DC , which produce beyond C , as to E ; and , by case 1 , the angle ACE is equal to the double of ADC , and BCE to the double of BDC , and ...
... double to ADB . Secondly , let the point C be within the triangle ADB , as in fig . 2. Draw DC , which produce beyond C , as to E ; and , by case 1 , the angle ACE is equal to the double of ADC , and BCE to the double of BDC , and ...
Σελίδα 46
... double to these triangles [ 34. 1 ] , are equal [ Ax . 6 ] . Cor . 4. - Every quadrilateral figure [ ABDC ] , whose oppo- site sides are equal , [ AB to CD , and AC to BD , ] is a paralle- logram . Join CB , and , in the triangles ABC ...
... double to these triangles [ 34. 1 ] , are equal [ Ax . 6 ] . Cor . 4. - Every quadrilateral figure [ ABDC ] , whose oppo- site sides are equal , [ AB to CD , and AC to BD , ] is a paralle- logram . Join CB , and , in the triangles ABC ...
Σελίδα 50
... , and triangle ( BEC ) , be on the same base ( BC ) , and between the same parallels ( BC , AE ) , the parallelogram is double to the triangle . Join CA. The triangle BEC is A equal to BAC 5,0 BOOK I. EUCLID'S ELEMENTS.
... , and triangle ( BEC ) , be on the same base ( BC ) , and between the same parallels ( BC , AE ) , the parallelogram is double to the triangle . Join CA. The triangle BEC is A equal to BAC 5,0 BOOK I. EUCLID'S ELEMENTS.
Σελίδα 51
... double the triangle BAC ; 15 D therefore the parallelogram BD is also double the triangle BEC . PROP . XLII . PROB . To constitute a parallelogram , equal to a given triangle ( ABC ) , and having an angle , equal to a given rectilineal ...
... double the triangle BAC ; 15 D therefore the parallelogram BD is also double the triangle BEC . PROP . XLII . PROB . To constitute a parallelogram , equal to a given triangle ( ABC ) , and having an angle , equal to a given rectilineal ...
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.