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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. "
The College Euclid: Comprising the First Six and the Parts of the Eleventh ... - Page 310
by Euclides - 1865
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 pages
...ABC be produced to D, the exterior angle ACD will be equal to the two interior angles CBA and BAC ; and the three interior angles of every triangle are together equal to two ri0'ht angles. Through C draw (Prop. 18), CE || to AB. Then V AB is || to CE, and AC meets them, the...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Therefore, a str. line has been drawn through A || BC. EF || BC. Pt0ff ^ PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. Let ABC be a ^, and the side BC be prod, to D. Then shall the ext. /_ ACD = Z. CAB + L ABC, the two...
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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
...EAF is drawn through the given point A parallel to the given straight line BC. 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 he produced to D ; the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...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 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 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 London University Calendar

London univ - 1846 - 326 pages
...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 - 128 pages
...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 - 492 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 - 52 pages
...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 ...

Euclid, Thomas Tate - 1849 - 120 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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