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" ABC is therefore equal to the remaining angle ACB, which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. Therefore, " the... "
Elements of geometry: consisting of the first four,and the sixth, books of ... - Page 11
by Euclides - 1842
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...which are the angles at the base of the triangle ABC: and it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon...the base. Therefore the angles at the base, &c. QED COR. — Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. If two angles of a...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...which are the angles at the base of the triangle ABC: and it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon...angles of a triangle be equal to one another, the rides also which subtend, or are opposite to, the equal angles, shall be equal to one another. Let...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...which are the angles at the base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. If two angles of...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...be equal to GB, •*'' \E V base of the triangle ABC: And it has also been proved that the,angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. COROLLARY. Hence every equilateral triangle is also equiangular. PROP. VI. THEOR. If two angles of...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...which are the angles at the base of the triangle ABC. And it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon...Hence every equilateral triangle is also equiangular. PROPOSITION VI. THEOR. — If two angles of a triangle be equal to one another, the sides also which...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...ACB, which are the angles at the base of the triangle ABC ; and it has been proved, that the angle FBC is equal to the angle GCB, which are the angles upon...the base. Therefore the angles at the base, &c. QED COB. Hence every equilateral triangle is also equiangular. PROPOSITION VI. THEOREM. If two angles of...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...ACB, which are the angles at the oase of the triangle ABC: and it has been proved that the angle FBC is equal to the angle GCB, which are the angles upon...of the base. Therefore the angles at the base, &c. ; which was to be demonstrated. OTHERWlSE : — Let the straight line AFJ divide the angle BAC Jn this...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...are the angles at the 15 base of the triangle ABC : And it has also been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. COROLLARY. Henco every equilateral triangle is also equiangular. PROP. VI. THEOR. If two angles of...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...3), which are the angles at the base of the triangle ABC : And it has been proved that the angle FBC is equal to the angle GCB, which are the angles upon the other side of the base. Wherefore, The angles at the base %c. QED COROLLARY. Hence every equilateral triangle is also equiangular....
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The London University Calendar

London univ - 1846 - 326 pages
...that instrument. WEDNESDAY. July 9.— Morning, 10 to 1. GEOMETRY. Examiner, Mr. JERRARD. 1. Show that if two angles of a triangle be equal to one another, the sides which subtend or are opposite to them shall also be equal to one another. 2. Bisect a given rectilineal...
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