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" Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry. "
Elementary Mechanical Drawing: Theory and Practice, with Chapters on ... - Σελίδα 215
των Charles William Weick - 1925 - 251 σελίδες
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 σελίδες
...which some property is asserted, and the truth of it required to be proved. Thus, when it is said that, The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry. — A set or collection...

A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - 1822 - 616 σελίδες
...some property is asserted, and the truth of it required to be .proved. Thus, when it is said that, The sum of the three angles of any triangle is equal to two right angles, this is a Theorem, the truth of which is demonstrated by Geometry. — A set or collection...

Introductory Discourse, and the Lectures Delivered Before the ..., Τόμος 5

American Institute of Instruction - 1835 - 318 σελίδες
...work, this author has pursued a different method in regard to parallel lines, by first proving that the sum of the three angles of any triangle is equal to two right angles ; but the demonstration is tedious and difficult for beginners, and is therefore rarely...

An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1837 - 216 σελίδες
...perpendicular to its base, divides it, by art. 57, into the two equal triangles ABC and ABG. 64. Theorem. The sum of the three angles of any triangle is equal to two right angles. Demonstration. Let ABC (fig. 36) be the given triangle. Produce AC to D, and draw...

A Treatise on Algebra

Elias Loomis - 1846 - 380 σελίδες
...statement of some property, the truth of which is required to be proved. Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry. (8.) A. problem...

A Treatise on Algebra

Elias Loomis - 1846 - 376 σελίδες
...statement of some property, the truth of which is required to be proved. Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry. (8.) A problem...

An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - 1847 - 204 σελίδες
...perpendicular to its base, divides it, by § 57, into the two equal triangles ABC and ABG. 65. Theorem. The sum of the three angles of any triangle is equal to two right angles. Proof. Let ABC (fig. 36) be the given triangle. Produce AC to D, and draw CE parallel...

A Treatise on Algebra

Elias Loomis - 1855 - 356 σελίδες
...the statement of some property, the truth of which is required to be proved. Thus the principle that the sum of the three angles of any triangle is equal to two right angles, is a theorem, the truth of which is demonstrated by Geometry. (8.) A problem is a...

Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - 1860 - 470 σελίδες
...the theorem ; the sum of the angles of any parallelogram it eoual tc four right angles. THEOREM XI. The sum of the three angles of any triangle is equal to two right angles. Let AB C be a triangle, and through its vertex C / draw a line parallel to the b\e/a...

Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - 1868 - 276 σελίδες
...the theorem ; the sum of the angles of any parallelogram it toual k four right angles. THEOREM XI. The sum of the three angles of any triangle is equal to two right angles. Let AB O be a triangle, and through its vertex C draw a line parallel to the base...




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