| Elias Loomis - Algebra - 1846 - 376 pages
...there are many other bipeds. (7.) A theorem is the statement of some property, the truth of which is required to be proved. Thus when it is said that the...theorem, the truth of which is demonstrated by Geometry. (8.) A problem is a question requiring something to be done. Thus, to draw one line perpendicular to... | |
| Elias Loomis - Algebra - 1846 - 380 pages
...there are many other bipeds. (7.) A theorem is the statement of some property, the truth of which is required to be proved. Thus when it is said that the...theorem, the truth of which is demonstrated by Geometry. (8.) A. problem is a question requiring something to be done. Thus, to draw one line perpendicular... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...together ; or, two quantities that are each of them equal to a third quantity, are equal to each other. 5. A Theorem is a demonstrative proposition ; in which...it is said that the sum of the three angles of any plane triangle is equal to two right angles, this is called a Theorem; and the method of collecting... | |
| John Playfair - Euclid's Elements - 1847 - 340 pages
...; .or, two quantities thai are each of them equal to a third quantity, are equal to each other. 5. A Theorem is a demonstrative proposition ; in which...to be proved. Thus, when it is said that the sum of tho three angles of any plane triangle is equal to two right angles, this is called a Theorem ; and... | |
| Benjamin Peirce - Geometry - 1847 - 204 pages
...perpendicular to its base, divides it, by ยง 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 to AB. The angles... | |
| Samuel Griswold Goodrich - Children's literature - 1852 - 372 pages
...be demonstrated, or something required to be done, and is accordingly either a theorem or a problem. A theorem is a demonstrative proposition, in which...when it is said that the sum of the three angles of a triangle is equal to two right angles, that is a theorem, the truth of which is demonstrated hy geometry.... | |
| Euclid, John Playfair - Geometry - 1853 - 336 pages
...or, two quantities that are each of them equal to a third quantity, are equal to each other. ftr'A Theorem is a demonstrative proposition ; in which...it is said that the sum of the three angles of any plane triangle is equal to two right angles, this is called a Theorem ; and the method of collecting... | |
| Elias Loomis - Algebra - 1855 - 356 pages
...is 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 question requiring... | |
| John Playfair - Geometry - 1855 - 334 pages
...quantity, are equal to each other. C. A Theorem is a demonstrative proposition ; in which some property is Thus, when it is said that the sum of the three angles of any plane triangle is equal to two right angles, this is called a Theorem; and the method of collecting... | |
| Elias Loomis - Algebra - 1858 - 394 pages
...is 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 question requiring... | |
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