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Books Books 41 - 50 of 184 on After remarking that the mathematician positively knows that the sum of the three....  
" After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles... "
Introduction and books 1,2 - Page 218
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 402 pages
...a point to a straight line make equal acute angles with that line. PROPOSITION XXL THEOREM. 98. The sum of the three angles of a triangle is equal to two right angles. BE C Let ABC be a triangle. We are to prove ZB + ZB CA + ZA = two rt. A Draw CE II to AB, and...
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 398 pages
...point to a straight line make equal acute angles with that line. PROPOSITION XXI. THEOREM. 98. The sum of the three angles of a triangle is equal to two righd angles. BE C Let ABC be a triangle. We are to prove Z. B + Z. BCA + Z. A = two rt. A. Draw CE...
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Education, Volume 27

Education - 1907
...scientific accuracy is proverbial. It is susceptible of definite proof that two and two make four; that the, sum of the three angles of a triangle is equal to two right angles and nothing else. There need never be any question as to what will result when carbon burns...
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Elements of Geometry

George Albert Wentworth - Geometry, Plane - 1881 - 250 pages
...perpendicular, each to each, they are either equal or supplementary. PROPOSITION XXI. THEOREM. 98. The sum of the three angles of a triangle is equal to two right angles. BE С Let AB С be a triangle. We are to prove B + ZB С A + A = two rt. A. Draw С E...
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Practical Logic: Or, The Art of Thinking

Daniel Seely Gregory - Logic - 1881 - 210 pages
...best policy. 15. Education cannot be effected by mere class-room instruction or lecturing. 16. The sum of the three angles of a triangle is equal to two right angles. 17. Two straight lines cannot inclose a space. 18. The earth is between 93,000,000 and 94,000,000...
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Elements of geometry, tr. by J. Kaines

Alexis Claude Clairaut - 1881
...opposite sides of a straight line which cuts two parallels ........ 36 These angles are equal 37 64. The sum of the three angles of a triangle is equal to two right angles 37 68. The exterior angle of a triangle is equal to the sum of its two interior opposite angles...
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Elements of Geometry

George Albert Wentworth - Geometry, Plane - 1882 - 250 pages
...perpendicular, each to each, they are either equal or supplementary. PROPOSITION XXI. THEOREM. 98. The sum of the three angles of a triangle is equal to two rig/'t angles. С Let ABC be a triangle. We are to prove Z. B + ZB С A + ZA = two rt. A. Draw С E...
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Studies in logic. By members of the Johns Hopkins university

Studies - 1883 - 203 pages
...analysis of the nature of probability. After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles because he apprehends the geometrical proof, he then continues : " But another man who never...
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The Journal of Speculative Philosophy: Ed. by Wm. T. Harris ..., Volume 18

William Torrey Harris - Philosophy - 1884
...negation ; and, of course, what is true of triangle is true of all general ideas ; they are negations. The sum of the three angles of a triangle is equal to two right angles. This is a proposition to be demonstrated. I draw a triangle, and prove that the three angles...
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