بحث صور خرائط YouTube الأخبار Gmail Drive تقويم المزيد »
تسجيل الدخول
 الكتب الكتب 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
عرض كامل - لمحة عن هذا الكتاب ## The Elements of Geometry, Symbolically Arranged

.../. 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

...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,...