| Charles WATERHOUSE - 1844 - 228 σελίδες
...similar figures may be very unequal. PRINCIPLES. 1. In a square there are four right angles, or 360°. 2. In every triangle, the sum of the three angles is equal to two right angles. -3. In an isosceles triangle, the angles opposite to the equal sides are equal. 4. The sum of all the... | |
| Nathan Scholfield - 1845 - 894 σελίδες
...but DEF is equal to BAC : hence, DEH-f-BAC is equal to two right angles. PROPOSITION XXVTI. THEOREM. In every triangle, the sum of the three angles is equal to Mo right angles. Let ABC be any triangle : then will the angle C+AjB be equal to two right angles.... | |
| Nathaniel Bowditch - 1846 - 854 σελίδες
...the sum of the two angles EFG and EGF, and at the same time / XXXV. In any right-lined triangle, ABC, the sum of the three angles is equal to two right angles. To prove this, you must produce BC (in the fig. Art. 33) towards D; then(byw3rf.33), the external angle... | |
| Roswell Park - 1847 - 632 σελίδες
...side is opposite to the greater angle : and either side is always less than the sum of the other two. In every triangle, the sum of the three angles is equal to two right angles, or 180°. When two triangles have the angles of the one equal to the corresponding angles of the other,... | |
| Anthony Nesbit - 1847 - 492 σελίδες
...properties. 1. The greatest side is opposite the greatest angle, and least side opposite the least angle. 2. The sum of the three angles is equal to two right angles, or 180°. 3. If one angle be given, the sum of the other two is found by subtracting the given angle... | |
| Mrs. Lincoln Phelps - 1848 - 330 σελίδες
...see a triangle marked out before us, and it is demonstrated by a train of geometrical reasoning, thai the sum of the three angles is equal to two right angles, we are as perfectly certain of the fact as if it had been proved by actual measurement. 22. Difference... | |
| Charles Davies - 1849 - 372 σελίδες
...I.); but DEF is equal to BAC: hence, DEH + BAC is equal to two right angles. PROPOSITION XXV. THEOREM. In every triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle : then will the angle C + A + B be equal to two right angles. For, produce... | |
| 1849 - 682 σελίδες
...opposite to the greater angle ; and conversely, the greater angle is opposite to the greater side. 2. In every triangle the sum of the three angles is equal to two right angles. 3. Two equal chords are equally distant from the centre ; and of two unequal chord«, the less is at... | |
| Charles Davies - 1850 - 238 σελίδες
...the sum of the two angles, A and C, is equal to the outward angle CBD (Ax. 1). THEOREM XVII. In any triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle : then will the sum of the three angles C A+B+C=two right angles. For, let... | |
| Charles Davies - 1850 - 218 σελίδες
...the sum of the two angles, A and C, is equal to the outward angle CBD (Ax. 1). THEOREM XVII. In any triangle the sum of the three angles is equal to two right angles. Let ABC be any triangle: then will the sum of the three angles C A-{-B-}-C=z two right angles . For,... | |
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