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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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 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 angles; 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...

THE LONDON UNIVERSITY CALENDAR

the london university calendar - 1846
...problem be impossible ? 5. If a side of any triangle be produced, show that the exterior angle will be equal to the two interior and opposite angles ; and the three interior angles of every triangle will be equal to two right angles. Also show that all the exterior angles of any rectilineal...

The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...Wherefore, of all triangles &c. — QED PROP. XXXII. THEOR. GEN. ENUN. — If a side of any triangle be produced, the exterior angle is equal to 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,...

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

Euclides - 1848
...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 equal to 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...

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

Euclides - 1849
...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 and Conic Sections

Elias Loomis - 1849 - عدد الصفحات: 226
...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 interior angles of every triangle are equal to two right angles. produced to D; then will the exterior angle ACD be equal...

Register

University of Cambridge - 1849
...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 equal to two right angles. Can you give Legendre's method of demonstrating...

The English Journal of Education, المجلد 4

1850
...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...opposite angles; and the three interior angles of every triangle are together equal to two right angles. 3. If the square described upon one of the sides...

A collection of problems and examples, adapted to the "Elementary course of ...

Harvey Goodwin - 1851 - عدد الصفحات: 173
...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 equal to two right angles. Can you give Legendre's method of demonstrating...

Five Years in an English University, المجلد 2

Charles Astor Bristed - 1852
...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...opposite angles ; and the three interior angles of every triangle are equal to two right angles. 3. Divide a given straight line into two such parts,...




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