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" Thus the proposition, that the sum of the three angles of a triangle is equal to two right angles, (Euc. "
Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ... - Σελίδα 232
των James Bates Thomson - 1844 - 252 σελίδες
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A History of Mathematics

Florian Cajori - 1893 - 478 σελίδες
...axioms, and, in short, came to make perfect demonstrations. In this way he arrived unaided at the theorem that the sum of the three angles of a triangle is equal to two right angles. His father caught him in the act of studying this theorem, and was so astonished at the sublimity...

The Elements of Solid Geometry

William C. Bartol - 1893 - 106 σελίδες
...lines cannot meet. 353. Any side of a triangle is less than the sum of the other two sides. 354. The sum of the three angles of a triangle is equal to two right angles. 355. Two triangles are equal in all respects when two sides and the included angle of the one...

Teachers' Manual for Teachers Using Arithmetic by Grades

John Tilden Prince - 1894 - 254 σελίδες
...point is equal to 360°. 6. The opposite angles made by two lines crossing each other are equal. 7. The sum of the three angles of a triangle is equal to two right angles. The sum of the angles of a polygon is equal to two right angles taken as many times as the...

The Popular Science Monthly, Τόμος 12

1878 - 804 σελίδες
...certain inferences. Locke explains it as follows: 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 thus continues : " But another man who never...

New Franklin Arithmetic, Βιβλίο 2

Edwin Pliny Seaver, George Augustus Walton - 1895 - 412 σελίδες
...and cut it out. Tear off C FIG. 24. two of the angles and place them, as in Fig. 24, so as to show that The sum of the three angles of a triangle is equal to two right angles. e. How many degrees are there in each angle of an equilateral triangle ? /. If the two acute...

Appletons' Popular Science Monthly, Τόμος 50

William Jay Youmans - 1897 - 902 σελίδες
...invention, and judgment" Instead of a series of written proofs to memorize, such as, for instance, the sum of the three angles of a triangle is equal to two right angles, the student takes the triangle, and, with suggestions from the teacher where necessary, works...

Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 186 σελίδες
...s= — g (Use logarithms.) Princeton, June, 1894. What text-book have you read ? a + b + v 1. Prove that the sum of the three angles of a triangle is equal to two right angles. Define triangle, right angle, right triangle, scalene triangle. 3. Prove that an angle inscribed...

Numerical Problems in Plane Geometry with Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 168 σελίδες
...numerical value. Princeton, June, 1896. State what text-book you have read and how much of it. 1. Prove that the sum of the three angles of a triangle is equal to two right angles ; and that the sum of all the interior angles of a polygon of n sides is equal to (n — 2)...

Geometry for Grammar Schools

Ephraim Hunt - 1896 - 120 σελίδες
...three angles of any triangle ? LESSON XXV. Review Lesson XIV. Draw any scalene triangle. PROBLEM. The sum of the three angles of a triangle is equal to two right angles. Solution. Letter the triangle, and produce the base to D. (1) The exterior angle and its adjacent...

Numerical Problems in Plane Geometry: With Metric and Logarithmic Tables

Joe Garner Estill - 1896 - 214 σελίδες
...diameter and weighing 8.2 ounces per square foot. Yale, June, 1896. GEOMETRY (A). TIMB, ONE HOUR. 1. The sum of the three angles of a triangle is equal to two right angles. 2. Construct a circle having its centre in a given line and passing through two given points....




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