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" If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 13
των Euclides - 1853 - 147 σελίδες
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...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...greater than either of the interior opposite angles. Let ABC be a </\ and the side BC be prod, to D; then the ext. L ACD > /. CBA or Z. BAG, the int. oppo....

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 σελίδες
...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 be produced to D, the exterior angle...

The First Book of Euclid's Elements, Simplified, Explained, and Illustrated ...

Euclides - 1847
...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 produced to D...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...angles made by any 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,...greater than either of the interior opposite angles. PROP. XVII. THEOREM. Any two angles of a triangle are together less than two right angles. PROP. XVIII....

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 108 σελίδες
...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...greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1849 - 317 σελίδες
...lines meeting in one point, are together equal to four right angles. ^ PROP. XVI. THEOR. If one fide 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 be produced to D, the exterior angle...

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...greater than either of the interior opposite angles. 2. If a right line be divided into two equal parts, and also into two unequal parts; the rectangle...

Minutes of the Committee of Council on Education, Τόμος 1

Great Britain. Committee on Education - 1850
...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 of a triangle be equal to...

The English Journal of Education, Τόμος 4

1850
...side together 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 to the two interior and opposite angles; and the three interior angles of every triangle are...

Artis logicae rudimenta: with illustrative observations on each section by ...

Henry Aldrich - 1850 - 390 σελίδες
...Euclid proves it, the argument would be a circle. For he has first proved on independent principles that the exterior angle is greater than either of the interior opposite angles; and by this (through an intermediate process) arrives at the further truth of its equality to the two...




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