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Bøker Bok 4150 av 191If a side of any triangle be produced, the exterior angle is equal to the two interior...
" 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. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 41
av John Playfair - 1832 - 333 sider
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The Elements of Geometry, Symbolically Arranged

1846
...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 angle is...and the three interior angles of 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....
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The Elements of Geometry, Symbolically Arranged

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...and the three interior 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...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 138 sider
...of a triangle be produced, the exterior angle (ACD) is equal to the two interior angles (A and B) ; and the three interior angles of every triangle are equal to two right angles. Argument. Through C draw CE parallel to AB (a). Then because AC meets the parallels AB, CE, the alternate...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 sider
...angles are also equal. Now, this being demonstrated, it is easy to prove that the three angles of any triangle are equal to two right angles. Let ABC be a triangle right angled at A, draw AD perpendicular to BC. The triangles ABD, ABC have the angles BAC, BDA right...
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THE LONDON UNIVERSITY CALENDAR

the london university calendar - 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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A Complete Treatise on Practical Land-surveying, in All Its Departments ...

Anthony Nesbit - 1847 - 426 sider
...side, are together equal to H\ two right angles. (Euc. I. 29. Simp. I. 7. \ Em. I. 4.) c D THEOREM IV. Let ABC be a triangle, and let one of its sides BC...be 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...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...passes through D. Wherefore, of all triangles &c. — QED PROP. XXXII. THEOR. GEN. ENUN. — If a side of any triangle be produced, the exterior angle is...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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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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 angle is...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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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 226 sider
...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...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 two interior and opposite...
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Register

University of Cambridge - 1849
...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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