The Elements of Geometry, Symbolically Arranged |
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Seite 4
... angles are at one point B , any one of them is expressed by three letters , of which the letter that is at the ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the 4 GEOMETRY .
... angles are at one point B , any one of them is expressed by three letters , of which the letter that is at the ... equal to one another , each of the angles is called a right angle ; and the straight line which stands on the 4 GEOMETRY .
Seite 7
... angles . XXX . Of four - sided figures , a square is that which has all its angles right angles , and all its sides equal . XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII . A ...
... angles . XXX . Of four - sided figures , a square is that which has all its angles right angles , and all its sides equal . XXXI . An oblong is that which has all its angles right angles , but has not all its sides equal . XXXII . A ...
Seite 8
Great Britain. Admiralty. XXXIII . A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXXIV . All other four - sided figures , besides these , are called ...
Great Britain. Admiralty. XXXIII . A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . XXXIV . All other four - sided figures , besides these , are called ...
Seite 10
... angles are equal to one another . XII . 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 , these straight lines , being continually ...
... angles are equal to one another . XII . 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 , these straight lines , being continually ...
Seite 13
... triangles have two sides of the one , equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they shall like- wise have their bases , or third sides , equal , and the ...
... triangles have two sides of the one , equal to two sides of the other , each to each ; and have likewise the angles contained by those sides equal to one another ; they shall like- wise have their bases , or third sides , equal , and the ...
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The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
2ndly ABCD AC² angle contained angle equal base BC CB² centre circle circumference coincides Constr descr diam diameter dist divided equal angles equiangular equilat exterior angle figure given point given str given straight line gnomon greater isosceles triangle join Let ABC Let str Let the str line be drawn meet number of equal oppo opposite angle opposite sides parallel parallelogram perpendicular polygon PROB prod Prop rect rectangle contained rectilineal right angles right-angled triangle semi sides equal square THEOR touch trapezium Wherefore whole fig Нур
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Seite 60 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Seite 34 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Seite 62 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square of...
Seite 38 - Wherefore, if a straight line, &c. QB D. PROPOSITION XXVIII. THEOB.—-If a straight line, falling upon two other straight lines, make the exterior angle equal to...
Seite 63 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal to twice the rectangle AB, BC, together with the square of AC.
Seite 23 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Seite 39 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Seite 5 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another : XVI.
Seite 79 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Seite 21 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.