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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. "
Report of Her Majesty's Civil Service Commissioners: Together with Appendices - Page 311
1858
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846
.../. 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 of every triangle are together equal to two riffht angles. Let ABC be a ^\, and the side BC be prod, to D. Then shall the ext. Z ACD = Z CAB +...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...the given point A parallel to the given straight line BC. Qur PROP. XXXII. THEOR. If any side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : the...
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The London University Calendar

London univ - 1846
...2. Prove that any two sides of a triangle are together greater than a third side. 3. If a side of a triangle be produced, the exterior angle is equal to the two interior opposite angles, and the three interior angles of every triangle are equal to two right angles. Prove...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...whose base passes through D. Wherefore, of all triangles &c. — QED PROP. XXXII. THEOR. GEN. ENUN. — If a side of any triangle be produced, the exterior...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 be a A,...
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A Complete Treatise on Practical Land-surveying: In All Its Departments ...

Anthony Nesbit - Plane trigonometry - 1847 - 426 pages
...produced to D ; the exterior angle ACD is equal A to the two interior and opposite angles CAB, ABC; also the three interior angles of every triangle are together equal to two right angles. (Euc. I. 32. Simp. I. B 9 & 10. Em. II. 1 & 2.) THEOREM V. Let the parallelograms ABCD, DBCE be upon...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...draw a straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior...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 interior...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 pages
...the given point A parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D; the...
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Register

University of Cambridge - 1849
...finite straight line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. If a side of any triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are together...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 226 pages
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite, angles; and the three interior angles of every triangle are equal to two right angles. produced to D; then will the exterior angle ACD be equal to the sum of the...
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The English Journal of Education, Volume 4

Education - 1850
...equal to two right angles: the two straight lines shall be parallel to one another. 2. If one side of a triangle be produced, the exterior angle is equal...every triangle are together equal to two right angles. 3. If the square described upon one of the sides of a triangle be equal to the squares described upon...
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