The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 sider |
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Side 94
... inscribed in the circle ABCD : any two of its opposite angles shall be toge- ther equal to two right angles . Join AC , BD . Then , because the three angles of every triangle are together equal to two right angles , [ I. 32 . the three ...
... inscribed in the circle ABCD : any two of its opposite angles shall be toge- ther equal to two right angles . Join AC , BD . Then , because the three angles of every triangle are together equal to two right angles , [ I. 32 . the three ...
Side 113
... inscribed in a circle , when all the angles of the inscribed figure are on the circumference of the circle . 4. A rectilineal figure is said to be described about a circle , when each side of the circumscribed figure touches the ...
... inscribed in a circle , when all the angles of the inscribed figure are on the circumference of the circle . 4. A rectilineal figure is said to be described about a circle , when each side of the circumscribed figure touches the ...
Side 115
... inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw the straight line GAH touching the circle at the ... inscribed in the circle ABC . Q.E.F. PROPOSITION 3. PROBLEM . About a given circle , to describe a triangle ...
... inscribe in the circle ABC a triangle equiangular to the triangle DEF . Draw the straight line GAH touching the circle at the ... inscribed in the circle ABC . Q.E.F. PROPOSITION 3. PROBLEM . About a given circle , to describe a triangle ...
Side 117
... inscribe a circle in a given triangle . Let ABC be the given triangle : it is required to inscribe a circle in the triangle ... inscribed in the given triangle . Q.E. F. PROPOSITION 5. PROBLEM . To describe a circle about a BOOK IV . 4 . 117.
... inscribe a circle in a given triangle . Let ABC be the given triangle : it is required to inscribe a circle in the triangle ... inscribed in the given triangle . Q.E. F. PROPOSITION 5. PROBLEM . To describe a circle about a BOOK IV . 4 . 117.
Side 119
... inscribe a square in a given circle . Let ABCD be the given circle : it is required to in- scribe a square in ABCD . Draw ... inscribed in the given circle . Q.E.F. PROBLEM . PROPOSITION 7 . To describe a square about BOOK IV . 5 , 6 . 119.
... inscribe a square in a given circle . Let ABCD be the given circle : it is required to in- scribe a square in ABCD . Draw ... inscribed in the given circle . Q.E.F. PROBLEM . PROPOSITION 7 . To describe a square about BOOK IV . 5 , 6 . 119.
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Vanlige uttrykk og setninger
ABCD AC is equal angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore