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" ... the three angles of a triangle are together equal to two right angles, although it is not known to all. "
An essay on mechanical geometry, explanatory of a set of models - Page 12
by Benjamin Donne - 1796
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Proceedings of the Canadian Institute, Volumes 6-7

Canadian Institute - 1889 - 754 pages
...three pairs of coincident points. (3) To secure this the observer need only see that the condition that the three angles of a triangle are together equal to two right angles is satisfied by the scale indications. The " three point problem " may be solved by the scale with...
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Shakespeare's Sonnets

William Shakespeare - Sonnets, English - 1890 - 356 pages
...be said, indeed, that tlie evidence altogether is not of equal cogency with the demonstration that the three angles of a triangle are together equal to two right angles. This may be freely granted, and if such a demonstration is required, the Sonnet-problem is no doubt...
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A new theory of parallels

Lewis Carroll - Mathematics - 1890 - 126 pages
...which never meet, are equally inclined to any transversal." And from this, in I. 32, he proves that " the three angles of a Triangle are together equal to two right angles." These are only specimens of a set of Theorems which can be proved when once Axiom 1 2 is granted (eg...
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Proceedings of the Canadian Institute

Canadian Institute - Learned institutions and societies - 1890 - 336 pages
...three pairs of coincident points. (3) To secure this the observer need only see that the condition that the three angles of a triangle are together equal to two right angles is satisfied by the scale indications. The "three point problem " may be solved by the scale with great...
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The Common Sense of the Exact Sciences

William Kingdon Clifford - Mathematics - 1891 - 312 pages
...our second assumption about space leads very easily to a theorem of especial importance, viz. that the three angles of a triangle are together equal to two right angles. If we draw through A, a corner of the triangle ABC (fig. 20), a line DAE, making with the side A 0...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...only one question out of each of tie }:<ii>-n of altenxithes should be answered. Either 4a. Prove that the three angles of a triangle are together equal to two right angles. ABC is a triangle in which AB = AC, and the angle A is known to be 40°. It is also known that the...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...only one question out of each of the pairs of alternatives should be answered. Either 4o. Prove that the three angles of a triangle are together equal to two right angles. and meets AC in D, is 2 inches in length. Draw the triangle with the help of your protractor, stating...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1913 - 228 pages
...equal to two right angles, then in each case the two straight lines are parallel. (10) 4. Prove that the three angles of a triangle are together equal to two right angles. ABCDEFG is a seven-sided figure. The angles A and B are each equal to the angle of a regular five-sided...
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The "Summa Theologica" of St. Thomas Aquinas, Volume 2, Part 1, Issue 1

Saint Thomas (Aquinas) - 1914 - 698 pages
...estimate of prudence, but not the speculative estimate, to which they are not opposed, for instance that the three angles of a triangle are together equal to two right angles. In the first sense, however, they hinder both estimates. — Thirdly, by fettering the reason : in...
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Continuity: The Presidential Address to the British Association for 1913

Sir Oliver Lodge - Continuity - 1914 - 158 pages
...elements. It lies at the base of all his doctrine of parallels, and it leads direct to the conclusion that the three angles of a triangle are together equal to two right angles. In fact it is another form of stating that proposition. Page 17 The "Preface" referred to is the Introduction...
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