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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. "
The geometry of the three first books of Euclid, by direct proof from ... - Seite 24
von Euclides - 1856
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The London University Calendar

London univ - 1846 - 326 Seiten
...HEAVISIDE. 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 Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 Seiten
...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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 130 Seiten
...any number of lines meeting in one pt., are together equal to 4 rt. /_s. PROP. XV. THEOR. 16. lEu. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a ^\, and the side BC be prod, to D...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 332 Seiten
...of straight 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, and opposite angles. Let ABC be a triangle, and let its side BC...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 130 Seiten
...any num-ber of lines meeting in one pt., are together equal to 4 rt. L s. PROP. XV. THEOR. 16.1 Eu. If one side of a triangle be produced, the ex-terior angle is greater than either of the interior opposite angles. Let ABC be a </\ and the side BC be prod, to D;...
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The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847 - 128 Seiten
...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 Seiten
...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 Seiten
...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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The English Journal of Education, Band 4

1850
...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
...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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