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" In a given circle to 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. "
Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ... - Σελίδα 123
των Horatio Nelson Robinson - 1865 - 444 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...D, which is not greater than the diameter of the circle. Which was to be done. * PROP. II. PROB. IN a given circle to 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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 σελίδες
...which is not greater than the diameter of the- circle. Which was to be done. a 3.1. PROP. II. PROB. IN a given circle to inscribe a triangle equiangular, to a given triangle. BooklV. Let ABC be the given circle, and DEF the given triangle; it *-.-v— ' js required to inscribe...

Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - 1809 - 493 σελίδες
...DEA, DGA, and DFC are all of them right angles (III. 27. cor.) ,..9 PROP. XI. PROB. • • • In a. given circle, to inscribe a triangle equiangular to a given triangle. to . t> Let GDH be a circle in which it is required to inscribe D a triangle that shall have its angles...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813
...line, equal to a given straight line not greater than the dianv ter of the circle. Prop. II. Prob. In a given circle to inscribe a triangle equiangular to a given triangle. Prop. III. Prub. About a given circle to describe » triangle equiangular to a given triangle. Prop....

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...which is not greater than the diameter of the circle. Which was to be done. 3. 1. PROP. II. PROB. IN a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given trianBouR IV. gle ; it is required to inscribe in the circle ABC a...

Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 432 σελίδες
...those points, for the angles DEA, DGA, and DFC are all of them right angles. »" PROP. XI. PROB. In a given circle, to inscribe a triangle equiangular to a given triangle. Let GDH be a circle, in which it is required to inscribe a triangle that shall have its angles equal to...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 σελίδες
...D, which is not greater than the diameter of the circle. Which was to be done. -, PROP. II. PROB. In a. given circle to 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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 σελίδες
...line D which is not greater than the diameter of the circle. Which was to be done. PROP. II. PROB. IN a given circle to 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...

Euclid's Elements of geometry, transl. To which are added ..., Βιβλία 1-6

Euclides - 1826
...Therefore in the given circle ABC, 8cc. QEF of the circle AEF, CA is equal to PROPOSITION II. PKOBLEM. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required in the circle ABC to inscribe a triangle...

Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 σελίδες
...therefore D also is equal b to CA. Therefore in the given circle ABC, 8tc. QEF PROPOSITION II. PROBLEM. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required in the circle ABC to inscribe a triangle...




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