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" If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. "
Science Examination Papers - Page 243
by Great Britain. Education Department. Department of Science and Art - 1899
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...line BC. Which was to be done. PROPOSITION XXXII. THEOR. — If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...parallel to the given straight line BC. Qur PROP. XXXII. THEOR. If any side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...through A || BC. EF || BC. Pt0ff ^ PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. Let ABC be a ^,...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
.../. ADC, EF || BC. Prop.2H. PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, t/ie ex-terior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two riffht angles. Let ABC be a ^\,...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...all triangles &c. — QED PROP. XXXII. THEOR. GEN. ENUN. — If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three inte. rior angles of every triangle are equal to two right angles. PART. ENUN. — Let ABC...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three ulterior angles of every triangle are together equal to two right angles. COR. 1. All the...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and...
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The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...the two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. 3. If the square...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...EA, and produce it to F.] E 3 THE ELEMENTS PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles. And the three interior angles of every triangle are equal to two riffht angles. Let ABC be a triangle,...
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Five Years in an English University, Volume 2

Charles Astor Bristed - 1852 - 470 pages
...other, and likewise those which are terminated in the other. 2. If the sides of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 3. Divide a given straight...
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