The text of Euclid's geometry, book 1, uniformly and systematically arranged by J.D. Paul1884 |
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Página 5
... ABC , ABQ , PBQ , or CBP each represents the same angle . In describing the position of a circle , three points in its circumference are named ; thus we talk of the circle ABC , A , B and C representing the positions of three points in ...
... ABC , ABQ , PBQ , or CBP each represents the same angle . In describing the position of a circle , three points in its circumference are named ; thus we talk of the circle ABC , A , B and C representing the positions of three points in ...
Página 6
... ABC is a triangle such that AB is greater than BC , and AC less than BC ; what kind of triangle is ABC ? ( 15 ) Which of the following statements are true : — ( a ) Every plane angle is a rectilineal angle . ( b ) Every rectilineal angle is ...
... ABC is a triangle such that AB is greater than BC , and AC less than BC ; what kind of triangle is ABC ? ( 15 ) Which of the following statements are true : — ( a ) Every plane angle is a rectilineal angle . ( b ) Every rectilineal angle is ...
Página 14
... triangle ABC is scalene , therefore AC is not equal to BC , therefore ACBD is not a square ; for the same reason it is not a rhombus . Again , because ABC is an acute - angled triangle , the angle ACB is not a right angle , therefore ...
... triangle ABC is scalene , therefore AC is not equal to BC , therefore ACBD is not a square ; for the same reason it is not a rhombus . Again , because ABC is an acute - angled triangle , the angle ACB is not a right angle , therefore ...
Página 15
... angles upon the same side of the line , viz . CAB and CBA , are together less than two right angles . ( 26 ) An equilateral triangle ABC , and a scalene triangle ADE , have the same vertical angle at A , and the point D is in AB ...
... angles upon the same side of the line , viz . CAB and CBA , are together less than two right angles . ( 26 ) An equilateral triangle ABC , and a scalene triangle ADE , have the same vertical angle at A , and the point D is in AB ...
Página 17
... triangle ABC is described on the side BC of the square BCDE ; why is AB equal to DE , and why is the angle CBE equal to the angle CDE ? ( 33 ) On AB , a side of the square ABCD , a rhombus ABEF is described ; why is AD equal to AF ? ( 34 ) ...
... triangle ABC is described on the side BC of the square BCDE ; why is AB equal to DE , and why is the angle CBE equal to the angle CDE ? ( 33 ) On AB , a side of the square ABCD , a rhombus ABEF is described ; why is AD equal to AF ? ( 34 ) ...
Términos y frases comunes
2nd Edition 4th Edition AB is equal ABC and DEF ABC is equal adjacent angles angle ABC angle ACB angle AGH angle BAC angle BCD angle CAB angle contained angle DEF angle EDF angle equal angle GHD angles are equal angles CBA Axiom 9 base BC BDC is greater bisector bisects centre circle coincide Constr Crown 8vo describe diagonal equal sides equal to BD equal to EF equilateral triangle Euclid exterior angle F. A. Paley Fcap finite straight line Geometry given point given straight line isosceles triangle Join Latin magnitude are equal opposite sides parallel to BC parallelogram parallelogram ABCD plane figure Post 8vo Postulate produced Q. E. D. PROPOSITION quadrilateral rectilineal angle REQUIRED TO PROVE rhombus right angles sides equal square on AC straight line drawn THEOREM triangle ABC triangle DEF triangles are equal vertex Нур
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Página 95 - If two triangles have two sides of the one equal to two sides of the...
Página 65 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. VIII. A plane angle is the inclination of two lines to each other in a plane, which meet together, but are not in the same direction.
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Página 73 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Página 72 - LET it be granted that a straight line may be drawn from any one point to any other point.
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