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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
عرض كامل - لمحة عن هذا الكتاب

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - عدد الصفحات: 361
...EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. 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 together equal to two right angles. Let ABCbe a triangle, and let one of its sides...

A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...sides of the triangle, but shall contain a greater angle. PROP. XXXII. — 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 together equal to two right angles. Enunciate and prove the corollaries of the last...

Guide to the three services: civil, naval, and military

John Paxton Hall - 1860
...sides of the triangle, but shall contain a greater angle. PROF. XXXII. — 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 together equal to two right angles. Enunciate and prove the corollaries of the last...

REPORT OF THE DIRECTOR OF PUBLIC INSTRUCTION, BOMBAY, FOR THE YEAR 1858-59.

EDUCATION SOCIETY'S PRESS, CULLA - 1860
...\ , <z, O\ '4' 3v A ' 4\ K ' 2 ^ 3 6. If a side of any triangle be produced, the exterior nngle ia equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles. Show how the corners of a triangular piece of paper may...

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...the value of - — --- Q'^— by means of 10o the logarithmic tables. 10. 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. The angle between the lines bisecting two adjacent exterior...

The projection and calculation of the sphere for young sea officers

S. M. Saxby - 1861
...angle AD B be the double of the angle ACB. Fig. 17. Euc. I. Prop. XXXII. — If any side of a triangle be produced, the exterior angle is equal to the two...opposite angles; and the three interior angles of any triangle are equal to two right angles. Reference to Prop. XXIX. Book I. will show that the angle...

Study of Steam and the Marine Engine for Young Sea Officers in H.M. Navy ...

S. M. Saxby - 1862 - عدد الصفحات: 179
...whole angle ADB be the double of the angle AC B. *28. Euc. I. Prop. XXXII.— If any side of a triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of any triangle are equal to two right angles. Eeference to Prop XXIX. Book I. will show that the angle...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...given straight line BC. QEF PROP. XXXII.— THEOREM. Jf the side of any triangle be produced; then 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. (References— Prop. i. 13, 29, 31 ; ax. 2.)...

Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., المجلد 2

1863
...AB, is equal to twice the line joining C with the middle point of AB. 2. 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. 3. Triangles upon the same base, and between the same...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. 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 together equal to two right angles. Let A BC be a triangle, and let one of its sides...




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