The Elements of geometry; or, The first six books, with the eleventh and twelfth, of Euclid, with corrections, annotations, and exercises, by R. Wallace. Cassell's ed1855 |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 70
... inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD . Any two of its opposite angles are together equal to two right angles . Join AC and BD . The angle CAB is equal to ...
... inscribed in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD . Any two of its opposite angles are together equal to two right angles . Join AC and BD . The angle CAB is equal to ...
Σελίδα 76
... inscribed in a circle , any two of its opposite angles are equal ( III . 22 ) to two right angles . Therefore the augies A B C and ADC , are equal to two right angles . But ABC has been proved to be less than a right angle . Therefore ...
... inscribed in a circle , any two of its opposite angles are equal ( III . 22 ) to two right angles . Therefore the augies A B C and ADC , are equal to two right angles . But ABC has been proved to be less than a right angle . Therefore ...
Σελίδα 83
... inscribed in another , when all the angular points of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . According to this definition , it is plain that the inscribed figure must have as ...
... inscribed in another , when all the angular points of the inscribed figure are upon the sides of the figure in which it is inscribed , each upon each . According to this definition , it is plain that the inscribed figure must have as ...
Σελίδα 84
... inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle .. It is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw the straight line G H ...
... inscribe a triangle equiangular to a given triangle . Let ABC be the given circle , and DEF the given triangle .. It is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw the straight line G H ...
Σελίδα 85
... inscribed in the circle ABC . Q. E. F. Exercise . If a triangle be inscribed in one of two concentric circles , equiangular to a given triangle , it is required to inscribe the same in the other circle , so that its sides may be ...
... inscribed in the circle ABC . Q. E. F. Exercise . If a triangle be inscribed in one of two concentric circles , equiangular to a given triangle , it is required to inscribe the same in the other circle , so that its sides may be ...
Άλλες εκδόσεις - Προβολή όλων
The Elements of geometry; or, The first six books, with the eleventh and ... Euclides Πλήρης προβολή - 1881 |
The Elements of Geometry: Or, the First Six Books, with the Eleventh and ... Euclides Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angle DEF angle EDF base BC bisected centre circle ABC circumference cone cylinder described diagonal diameter draw duplicate ratio equal angles equal Ax equal Const equiangular equimultiples Euclid ex æquali Exercise exterior angle fore given straight line gnomon homologous sides inscribed join less meet multiple opposite angle parallelogram parallelogram AC parallelopiped pentagon perpendicular polygon prism produced proposition Q. E. D. PROP reciprocally proportional rectangle contained rectilineal figure remaining angle right angles segment similar triangles solid angle sphere squares of AC straight line drawn straight lines A B THEOREM third three plane angles three straight lines triangle ABC triangle DEF triplicate ratio twice the rectangle vertex Wherefore whole angle
Δημοφιλή αποσπάσματα
Σελίδα 23 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 34 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Σελίδα 2 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 122 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 5 - LET it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 3 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 135 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing those angles proportional, are similar.
Σελίδα 20 - PROBLEM. At a given point in a given straight line, to make a rectilineal angle equal to a given rectilineal angle.
Σελίδα 147 - Similar solid figures are such as have all their solid angles equal, each to each, and are contained by the same number of similar planes.
Σελίδα 37 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square...