The difference of the angles at the base of any triangle, is double the angle contained by a line drawn from the vertex perpendicular to the base, and another bisecting the angle at the vertex. Elements of Geometry with Notes - Page 24by John Radford Young - 1833 - 216 pagesFull view - About this book
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...DBE. In the same way it may be shewn to be equal to FEC and ADF; and .-. it is one fourth of ABC. (5.) The difference .of the angles at the base of any triangle...base, and another bisecting the angle at the vertex. • From B the vertex of the triangle ABC let BE be drawn perpendicular to the base, and BD bisecting... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...DBE. In the same way it may be shewn to be equal to FEC and ADF; and .-. it is one fourth of ABC. (5.) The difference of the angles at the base of any triangle...base, and another bisecting the angle at the vertex. From B .the vertex of the triangle ABC let BE be drawn perpendicular to the base, and BD bisecting... | |
| Miles Bland - Geometry - 1821 - 898 pages
...ADF; and /. it is one fourth of ABC. (5.) The difference of the angles at the base of any tríangle is double the angle contained by a line drawn from...base, and another bisecting the angle at the vertex. From В the vertex of the triangle ABC\et BE be drawn perpendicular to the base, and BD bisecting the... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 pages
...be joined, the triangle, so formed, will be one-fourth of the given triangle. 16. The difference ot the angles at the base of any triangle, is double...base, and another bisecting the angle at the vertex. 17. If the tangents drawn to every two, of three unequal circles, be produced till they meet, the points... | |
| Euclides - 1826 - 226 pages
...isosceles triangle is equal to half the difference between the vertical angle and two right angles. 2. The difference of the angles at the base of any triangle is double the angle contained by the line bisecting the vertical angle and another drawn from the vertexperpendicular to the base. 3.... | |
| Euclid - 1826 - 234 pages
...isosceles triangle is equal to half the difference between the vertical angle and two right angles. 2. The difference of the angles at the base of any triangle is double the angle contained by the line bisecting the vertical angle and another drawn from the vertex perpendicular to the base.... | |
| Euclides - 1845 - 546 pages
...and having the angle A double the angle C; shew that the side AC is less than double the side AB. 8. The difference of the angles at the base of any triangle,...base, and another bisecting the angle at the vertex. 9. If from the right angle of a right-angled triangle two straight lines be drawn, one perpendicular... | |
| Nathan Scholfield - 1845 - 894 pages
...therefore, (Prop. XIII.) the triangle ABC is equal to the triangle DEF. PROPOSITION XXXI. THEOREM. 54 KD Let ABC denote any triangle ; AD perpendicular to...(produced if necessary), AE a line bisecting the angle BAG : the difference of the angles at B and C, is double the angle EAD. The angle ABC is equal to the... | |
| Euclides - 1846 - 292 pages
...vertical. 48. Trisect a given line : and hence divide an equilateral triangle into nine equal parts. 49. The difference of the angles at the base of any triangle is double of the angle between two lines drawn from the vertex, one bisecting the vertical angle and the other... | |
| Euclides - 1847 - 128 pages
...base and between the same parallels. (Deducible from Prop. XXVII. and Prop. P.) PROP. y. THEOR. — The difference of the angles at the base of any triangle...the vertex perpendicular to the base, and another line bisecting the angle at the vertex. Let ABC be a A ; draw AD jr to the base BC, and AE bisecting... | |
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