 | Robert Potts - Geometry - 1876 - 446 pages
...greater than a right angle. Therefore, in a circle the angle in a semicircle is a right angle ; &c. UF.U. COR. From this it is manifest, that if one angle of...the angle adjacent to it is equal to the same two ; (I. 32.) and when the adjacent angles are equal, they are right angles. (I. def. 10.) PROPOSITION... | |
 | Edward Atkins - 1876 - 130 pages
...than a right angle. Prop. 82. Therefore, the angle, &c. QED COROLLARY. — From this demonstration it is manifest that, if one angle of a triangle be equal to the other two, it is a right angle. For the angle adjacent to it is equal to the samo two angles (I. 32). And, when the adjacent angles... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...a segment ADC less than a semicircle is greater than a right angle. Therefore, in a circle, &c. QED COR. From this it is manifest, that if one angle of...is a right angle : because the angle adjacent to it ia equal (I. 32) to the same two ; and when the adjacent angles are equal (I. Def. 10) they are right... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...than a right angle. Wherefore, the angle &c. QED EUCLID'S ELEMENTS. COROLLARY. From the demonstration it is manifest that if one angle of a triangle be equal to the other two, it is a right angle. For the angle adjacent to it is equal to the same two angles ; [I. 32. and when the adjacent angles... | |
 | Palaestra Oxoniensis - 1884 - 204 pages
...in one point. (4) There can be but one straight line which touches a circle in the same point. (5) If one angle of a triangle be equal to the other two, it is a right angle. (в) If from a point without a circle there be drawn two straight lines cutting it, the rectangles... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...< art. L. (3) - ADC at Oce = |. major conj. L AEC at the centre, ... L ADC > a rt. L. COROLLARY.— From this it is manifest that if one angle of a triangle be equal to the other two it is a right angle. Note that III. 31 (1) and the above Corollary might have been inserted immediately after I. 32. Note... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...proposition is omitted by Heiberg as an interpolation of date later than Theon. It is to this effect : " From this it is manifest that, if one angle of a triangle be equal to the other two, the first angle is right because the exterior angle to it is also equal to the same angles, and if... | |
 | Euclid - 452 pages
...proposition is omitted by Heiberg as an interpolation of date later than Theon. It is to this effect : " From this it is manifest that, if one angle of a triangle be equal to the other two, the first angle is right because the exterior angle to it is also equal to the same angles, and if... | |
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From this it is manifest, that if one angle of a triangle be equal to the other two, it is a right angle, because the angle adjacent to it is equal to the same two ; and when the adjacent angles are equal, they ate right angles. 
