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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 Teaching of Geometry - الصفحة 182
بواسطة David Eugene Smith - 1911 - عدد الصفحات: 339
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## Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - عدد الصفحات: 317
...the given straight linp BC. Which was to be done. PROP. XXXII. THEOR. 'if a side of any triangle bf produced, the exterior angle is equal to the two interior...opposite angles ; and the three interior angles of everif triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be...

## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., المجلد 5

John Mason Good - 1819
...through a given tioint parallel to a given straight line. Prop. XXXII. Theor. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles : anil the three interior angles of every triaugie are equal to two riyht angles. Prop. XXXIII. Theor....

## The new practical builder, and workman's companion, المجلد 2

Peter Nicholson - 1823
...any two points, F, E, on; the one of the lines, are equidistant from the other line. THEOREM 27. 79. In any triangle, if one of the sides be produced, the exterior angle is equal to both the interior and opposite angles ; and the three interior angles are equal to two right angles....

## A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - عدد الصفحات: 372
...done. Proposition XXXII. Theorem. If a side of any triangle be produced, the exterior angle is eqnA to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. D; the exterior angle ACD is equal to the two interior...

## Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...angle equal to a given rectilineal angle. PROPOSITION XXXII* THEOREM. One side of any triangle being produced, the exterior angle is equal to the two interior...opposite angles, and the three interior angles of a triangle are equal to two right angles. Eoint c draw CE parallel to the right neAB ; a and because...

## Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - عدد الصفحات: 180
...three remaining sides equal to each other. PROPOSITION XXXII * THEOREM. One side of any triangle being produced, the exterior angle is equal to the two interior...opposite angles, and the three interior angles of a triangle are equal to two right angles. Let ABC be a triangle ; and let one of its sides вс be...

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

Euclid, John Playfair - 1826 - عدد الصفحات: 320
...Whieh was to be done. PROP. XXXII. THEOR. If a side of any triangle be produeed, the exterior ah^ gle is equal to the two interior and opposite angles ; and the three interior angles Of every triangle are equal to two right angles. Let ABC be a trianelp, and let one of its sides BC be...

## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - عدد الصفحات: 513
...to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles; 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...

## Elements of geometry: Being chiefly a selection from Playfair's geometry

John Playfair - 1829 - عدد الصفحات: 186
...line BC. Which was to be done. PROPOSITION XXXII. THEOREM.* 1. If any side of a rectilineal triangle be produced, the exterior angle is equal to the two interior and opposite angles taken together. Let ABC be a triangle, and let a side BC be produced to D; the exterior angle ACD is...

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

John Playfair - 1832 - عدد الصفحات: 333
...parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOR. If aside of any triangle be produced, the exterior angle is equal to the two...opposite angles; 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...