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" If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. "
The College calendar. [Continued as] The College calendar for the United ... - Side 92
av Scotland free church
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 sider
...angle CBA {Ax, 3.) QED COROLLARY. Every equilateral triangle is alfo equiangular. PROP. VI. THEOREM. If two angles of a triangle be equal to each other, the fides which are oppofite to them will alfo be equal. Let ABC be a triangle, having the angle CAB equal...
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The philosophical and mathematical commentaries of Proclus ... on the first ...

Proclus (Diadochus.) - 1789 - 474 sider
...fimilar parts. For to fubtend equal angles, is in thefe primarily inherent. PROPOSITION VI. THEOREM III. If two angles of a triangle be equal to each other, the fides alfo which fubtend the equal angles, fhall be equal to one another. The prefent theorem exhibits...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...triangle is also equiangular. PROP. VI. THEOR. IF two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles shall be equal to one another. Let ABC be ajriangle having the angle ABC equal to the Book I. . angle ACB ; the side AB is also equal...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...is also equiangular. Proposition VI. Theorem. If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. Let ABC be a triangle having the angle ABC equal to the angle ЛСВ ; the side AB is also equal to...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 sider
...triangle is also equiangular. PROP. VI. THEOR. If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. Let ABC be a triangle having the angle ABC equal to the angle ACB : the side AB shall be equal to the...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - 1829 - 210 sider
...DF, the angle A with D, and the triangle ABC with DEF. Therefore, if two triangles &c. QED ED. Cor. 1. if two angles of a triangle be equal to each other, the sides opposite to them are equal. For suppose the two angles at the base of each triangle to become equal...
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The Element of Geometry

John Playfair - 1836 - 148 sider
...triangle is also equiangular. PROP. VI. THEOR. If two angles of a triangle be equal to one another, the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. Let ABC be a triangle, having the angle ABC equal to the angle ACB ; the side AB is also equal to the...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 sider
...ZCBF, that Z ABC = Z BCA. PROPOSITION VI. Theorem. If two angles of a triangle be equal to one another, the sides also, which subtend, or are opposite to, the equal angles, are equal to one another. Note. The nature of the proof of this proposition is different from that...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 sider
...triangle is also equiangular. PROP. VI. THEOR. If two angles of a triangle be n/mil to one another, the sides also which subtend or are opposite to the equal angles, shall be equal to one another. Let ABC be a triangle having the angle ABC equal to the angle ACB: the side AB shall be equal to the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 sider
...is also equiangular. PROP. VI. THEOR. If two 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 ABC be a triangle having the angle ABC equal to the angle ACB; the side AB shall be equal to the...
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