Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids: to which are Added, Edlemnts of Plane and Spherical TrigonometryW.E. Dean, 1836 - 311 σελίδες |
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Αποτελέσματα 1 - 5 από τα 42.
Σελίδα 123
... inscribed in an- Book IV . other rectilineal figure , when all the angles of the in- scribed figure are upon the sides of the figure in which it is inscribed , each upon each . II . In like manner , a figure is said to be de- scribed ...
... inscribed in an- Book IV . other rectilineal figure , when all the angles of the in- scribed figure are upon the sides of the figure in which it is inscribed , each upon each . II . In like manner , a figure is said to be de- scribed ...
Σελίδα 124
... inscribed in a rectilineal figure , when the circumference of the circle touches each side of the fi- gure . VI . A circle is said to be described about a rectilineal figure , when the cir- cumference of the circle passes through all ...
... inscribed in a rectilineal figure , when the circumference of the circle touches each side of the fi- gure . VI . A circle is said to be described about a rectilineal figure , when the cir- cumference of the circle passes through all ...
Σελίδα 125
... inscribe a triangle equian- gular to a given triangle . Let ABC be the given circle , and DEF the given tri- angle ; it is ... inscribed in the circle ABC . Which was to be done . Book IV . PROP . III . PROB . About OF GEOMETRY . 125.
... inscribe a triangle equian- gular to a given triangle . Let ABC be the given circle , and DEF the given tri- angle ; it is ... inscribed in the circle ABC . Which was to be done . Book IV . PROP . III . PROB . About OF GEOMETRY . 125.
Σελίδα 127
... inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to in- scribe a circle in ABC . b 12. 1 ... inscribed in the triangle ABC . Which was to be done . d Book IV . PROP . V. · PROB .霉 OF GEOMETRY . 127.
... inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to in- scribe a circle in ABC . b 12. 1 ... inscribed in the triangle ABC . Which was to be done . d Book IV . PROP . V. · PROB .霉 OF GEOMETRY . 127.
Σελίδα 129
... inscribe a square in a given circle . Let ABCD be the given circle ; it is required to in- scribe a square in ABCD ... inscribed in the circle ABCD . Which was to be done . PROP . VII . PROB . To describe a square about a given circle ...
... inscribe a square in a given circle . Let ABCD be the given circle ; it is required to in- scribe a square in ABCD ... inscribed in the circle ABCD . Which was to be done . PROP . VII . PROB . To describe a square about a given circle ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder definition demonstrated described diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism proportional proposition pyramid Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle spherical angle spherical triangle Spherical Trigonometry straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
Δημοφιλή αποσπάσματα
Σελίδα 58 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 26 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 46 - Wherefore, if a straight line, &c. QED PROP. XXIX. THEOR. s«e N. Ij'a straight line fall upon two parallel straight lines, it makes the alternate angles equal...
Σελίδα 74 - THEOR. //' a straight line be divided into two equal, and also into two unequal parts, the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Σελίδα 84 - An angle in a segment is the angle contained by two straight lines drawn from any point in the circumference of the segment to the extremities of the straight . line which is the base of the segment.
Σελίδα 411 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Σελίδα 112 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Σελίδα 118 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα 54 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Σελίδα 49 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles.