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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 First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 27
by Euclid, James Thomson - 1845 - 352 pages
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pages
...interior and opposite angles. And the three interior angles of every triangle are equal to two riffht angles. Let ABC be a triangle, and let one of its...exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; (2.) and the three interior angles of the triangle, viz. ABC, BCA, CAB, are...
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The Assurance Magazine, and Journal of the Institute of Actuaries, Volume 3

Insurance - 1853 - 394 pages
...difference, d"u=u,— nua_t-\ — . wn.2— &c. 27. Show that, if a side of any triangle be produced (1) the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. 28. Show that in any right-angled triangle, the square which is described upon the hypothenuse, that...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...angle shall be equal to the two interior and opposite angles ; (2) the three interior angles shall be together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then (1) the exterior angle ACD shall be equal to the two interior and opposite angles ABC, BAC; (2)...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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 triangle, and let one of its sides BC be produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; and the three interior...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...interior and opposite angles ; and the three inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC, and the three interior...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 pages
...exterior angle is equal to the ttco interior and opposite angles ; and the three interior angles oj every triangle are together equal to two right angles....triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC. And the three...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...any triangle he 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. 4. Equal triangles upon the same base and upon the same side of it, are between the same parallels....
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National Society's Monthly Paper

1855 - 264 pages
...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. 4. Equal triangles upon the same hase and upon the same side of it are between the same parallels ....
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1856 - 346 pages
...interior and opposite angles ; andlthe three interior angles of every triangle are equal to two right i Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three...
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Manual of Method for the use of teachers in elementary schools

W F. Richards - Elementary school teaching - 1856 - 198 pages
...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. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares...
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