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" ... line and the extremities of the base have the same ratio which the other sides of the triangle have to one another: and if the segments of the base... "
A Supplement to the Elements of Euclid - Σελίδα 555
των Daniel Cresswell - 1825 - 582 σελίδες
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 σελίδες
...angles by the ftraight line AD. Therefore, If the angle, &c. QED PROP. Book VI. v^*^ PRO PA THEO R. IF the outward angle of a triangle made by producing one of its fides, be divided into two equal angles, by a ftraight line which alfo cuts the bafe produced ; the...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 σελίδες
...equal angles by the itraight line AD. Therefore, if the angle, &c. QED PROP. Book VT. PRO PA THEO R. IF the outward angle of a triangle made by producing one of its fides, be divided into two equal angles, by a ftraight line which alfo cuts the bafe produced ; the...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 σελίδες
...equal angles by the ftraight line AD. Therefore if the angle, &c. QED Bock VI. ^"^ PROP. A. THEO R. TF the outward angle of a triangle made by producing one of its fides, be divided into two equal angles, by a ftraight line which alfo cuts the bafe produced ; the...

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

Alexander Ingram - 1799 - 351 σελίδες
...into two equal angles by the flraight line AD. Therefore, if the angle, Sic. Q^ ED PROP. A. THEOR. IF the outward angle of a triangle made by producing one of its fides, be divided into two equal angles, by a ftraight line which alfo cuts the bafe produced ; the...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...into two equal angles by the ftraight line AD. Therefore if the Ingle, &c. QJL. D. K 4 PROP. A. THEOR. IF the outward angle of a triangle made by producing one of its fides, be divided into two equal angles, by a ftraight line which alfo cuts the bafe produced; the...

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

John Playfair - 1806 - 311 σελίδες
...Therefore, if the angle, &c. Q. £. D. PROP. A. THEOR. IF the cxferior angle of a rtriangle be bisected by a straight line which also cuts the base produced, the segments between the bisecting line and the extremities of the base have the same ratio which the other sides of the triangle...

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

Euclid - 1810 - 518 σελίδες
...to BC. Wherefore, if a straight line, &c. QED PROP. III. THEOR. See Note. IF the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base; the segments of the base shall have the same ratio which the other sides of the triangle have to one...

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

John Mason Good - 1813
...into tu o equal anglrs. Prop. A. Theor. If the outward angle of a tri. angle made by producing OOP of its sides, be divided into two equal angles, by...line which also cuts the base produced; the segments one angle in the one eqaal to one angle in the other, and their bides about the equal ancles reciprocally...

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

Euclides - 1816 - 528 σελίδες
...is parallel toBC. Wherefore, if a straight line, &c. QED PROP. HI. THEOR. IF the angle of a triangle be divided into two equal angles, by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one...

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

John Playfair - 1819 - 317 σελίδες
...Therefore, if the angle, &c. Q,. ED PROP. A. THEOR. If the exterior angle of a triangle be bisected by a straight line which also cuts the base produced ; the segments between the bisecting line and the extremities of the base have the same ratio which the other sides of the triangles...




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