The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry, from the Edition of Dr. Robert Simson ... With ExercisesCharles Henry Law, 1854 - 120 páginas |
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Página 33
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
Página 65
... extremities of the straight line which is the base of the segment . IX . And an angle is said to insist or stand upon the circumference intercepted between the straight lines that contain the angle . X. A sector of a circle is the ...
... extremities of the straight line which is the base of the segment . IX . And an angle is said to insist or stand upon the circumference intercepted between the straight lines that contain the angle . X. A sector of a circle is the ...
Página 72
... extremities of its side MD , therefore ( I. 21. ) 2. MK , KD , are less than ML , LD , whereof MK is equal to ML ; therefore 3. The remainder DK is less than the remainder DL . In like manner it may be shown , that 4. 72 EUCLID'S ELEMENTS .
... extremities of its side MD , therefore ( I. 21. ) 2. MK , KD , are less than ML , LD , whereof MK is equal to ML ; therefore 3. The remainder DK is less than the remainder DL . In like manner it may be shown , that 4. 72 EUCLID'S ELEMENTS .
Página 79
... extremity of it , falls without the circle ; and no straight line can be drawn between that straight line and the circumference from the extremity , so as not to cut the circle ; or , which is the same thing , no straight line can make ...
... extremity of it , falls without the circle ; and no straight line can be drawn between that straight line and the circumference from the extremity , so as not to cut the circle ; or , which is the same thing , no straight line can make ...
Página 80
... any rectilineal angle . ” COR . From this it is manifest that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ( III . Def . 2. ) ; and 80 EUCLID'S ELEMENTS .
... any rectilineal angle . ” COR . From this it is manifest that the straight line which is drawn at right angles to the diameter of a circle from the extremity of it , touches the circle ( III . Def . 2. ) ; and 80 EUCLID'S ELEMENTS .
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Términos y frases comunes
AB is equal AC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal base BC bisected circle ABC circumference diameter double draw equal angles equal Constr equal Hyp equal straight lines equal to BC equilateral and equiangular EUCLID'S ELEMENTS exterior angle given circle given point given rectilineal angle given straight line given triangle gnomon greater inscribed interior and opposite less Let ABC Let the straight likewise opposite angles parallel to CD parallelogram pentagon perpendicular point F produced Q.E.D. PROP rectangle AE rectangle contained remaining angle required to describe right angles semicircle side BC square of AC straight line AB straight line AC straight line drawn touches the circle triangle ABC twice the rectangle