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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 together equal to two right angles. "
The History of Philosophy: From the Earliest Times to the Beginning of the ... - الصفحة 388
بواسطة Johann Jakob Brucker, William Enfield - 1819
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The History of Philosophy, from the Earliest Times to the ..., المجلد 1

William Enfield, Johann Jakob Brucker - 1791 - عدد الصفحات: 610
...to two, a fuperficies to three, a folid to four. Of the geometrical theorems afcribed to Pythagoras, the following are the principal; that the interior...that the only polygons which will fill up the whole fpace about a given point, are the equilateral triangle, the fquare, and the hexagon; the firfl to...

A Treatise on Practical Gauging

Anthony Nesbit, W. Little - 1822 - عدد الصفحات: 916
...; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; also the three interior angles of every triangle are together equal to two right angles. (Em. I. 32. Simp. I. 9, 10. Em. IL I, 2 J A C THEOREM V. Let the parallelograms ABCD, DBCEbe upon the...

An Exposition of the Mysteries; Or, Religious Dogmas and Customs of the ...

John Fellows - 1835 - عدد الصفحات: 430
...to two, a superficies to three, a solid to four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal: that the interior...to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle, the square, and the hexagon...

Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - عدد الصفحات: 254
...SUBSTANCE OF SECTION III. / \ 1. Any two angles of a triangle are together less than two right angles. 2. The interior angles of every triangle are together equal to two right angles. 3. A right-angled triangle is that which has a right angle. 5. An acute-angled triangle is that which...

The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - عدد الصفحات: 410
...triangle be produced, the exterior angle is equal to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right angles. Let the side BC of the triangle ABC be produced to D : the exterior angle A CD is equal to the two...

Proceedings

Scotland free church, gen. assembly - 1847 - عدد الصفحات: 554
...CLASS-GEOMETRY. 1. The greater side of every triangle has the greater angle opposite to it. 2. The three interior angles of every triangle are together equal to two right angles. 3. Parallelograms upon equal bases, and between the same parallels, are equal. 4. If a straight line...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - عدد الصفحات: 546
...triangle be produced, the exterior angle is equal to the Iwo interior and opposite angles; and Ihe three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD shall...

The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - عدد الصفحات: 382
...produced, (l) the exterior angle is equal to the two interior and remote angles ; and (2) the three interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : (1 ) the exterior angle ACD is...

The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - عدد الصفحات: 128
...triangle be produced, 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. Let ABC be a ^, and the side BC be prod, to D. Then shall the ext. /_ ACD = Z. CAB + L ABC, the two...

A Complete Treatise on Practical Land-surveying: In All Its Departments ...

Anthony Nesbit - 1847 - عدد الصفحات: 492
...the exterior angle ACD is equal A to the two interior and opposite angles CAB, ABC; also the three interior angles of every triangle are together equal to two right angles. (Euc. I. 32. Simp. I. B 9 & 10. Em. II. 1 & 2.) THEOREM V. Let the parallelograms ABCD, DBCE be upon...




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