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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 together equal to two right angles. "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 74
by Charles Reiner - 1837 - 215 pages
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...DG, drawn from c, D, and meeting in o, make = L • with AB. — QEF PROP. XVI. THEOR. GEN. ENUN. — If one side of a triangle be produced, the exterior angle is greater than cither of the interior opposite angles. PART. ENUN. — Let a side BC of any A ABC be...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. PROP. XVII. THEOREM. Any two angles of a triangle...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...any number of lines meeting in one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be...
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Minutes of the Committee of Council on Education, Volume 1

Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...another upon one side of it are either two right angles, or are together equal to two right angles. 2. If one side of a triangle be produced, the exterior angle is greater than either of the two interior opposite angles. 3. If a square described on one of the sides...
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The English Journal of Education, Volume 4

Education - 1850 - 488 pages
...other: the base of that which has the greater angle shall be greater than the base of the other. 2. If one side of a triangle be produced, the exterior angle is greater than cither of the interior opposite angles. SECTION II. 1. If a straight line falling upon...
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The Calendar of King's College, London

1850 - 400 pages
...suspended from B; find the thrusts on AC, and the strains upon AD and DC. •_ III.—ffiutlfo. I. IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If a right line be divided into two equal parts,...
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Papers for the schoolmaster, Volume 3

1867 - 336 pages
...this problem. S. Bisect a given finite straight line. What is to bisect ? Need the line be Suite P 4. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Is this Theorem or Problem P Why ? 5. titraiyht...
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Five Years in an English University, Volume 2

Charles Astor Bristed - 1852 - 470 pages
...the base equal to each 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...
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...any number of lines meeting in one point, are together equal to four right angles. PEOP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852 - 48 pages
...be proved that the angles DBA and i» EC are equal. Which was to be demonstrated. PROP. XVI. THEOB. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let the side AB of the triangle A в c be produced...
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