The Elements of Geometry, Symbolically Arranged |
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Resultat 1-5 av 42
Side 11
... Wherefore on AB has been descr . an equilat . Def . 15 . Def . 15 . Ax . 1 . A ACB . PROP . II . PROB . 2. 1 Eu . From a given point to draw a straight line equal to a given straight line . Let A be the given pt . , and BC the given str ...
... Wherefore on AB has been descr . an equilat . Def . 15 . Def . 15 . Ax . 1 . A ACB . PROP . II . PROB . 2. 1 Eu . From a given point to draw a straight line equal to a given straight line . Let A be the given pt . , and BC the given str ...
Side 12
... Wherefore , from the given pt . A , a str . line AL has been drawn equal to the given str . line BC . PROP . III . PROB . 3. 1 Eu . From the greater of two given straight lines , to cut off a part equal to the less . Let AB and C be the ...
... Wherefore , from the given pt . A , a str . line AL has been drawn equal to the given str . line BC . PROP . III . PROB . 3. 1 Eu . From the greater of two given straight lines , to cut off a part equal to the less . Let AB and C be the ...
Side 13
... Wherefore , from AB , the greater of two str . lines , a part AE has been cut off = C , the less . PROP . IV . THEOR . 4. 1 Eu . If two triangles have two sides of the one , equal to two sides of the other , each to each ; and have ...
... Wherefore , from AB , the greater of two str . lines , a part AE has been cut off = C , the less . PROP . IV . THEOR . 4. 1 Eu . If two triangles have two sides of the one , equal to two sides of the other , each to each ; and have ...
Side 16
... Wherefore the angles at the base , & c . Note . It is evident that some line , as AD , will bisect the BAC ; and although the method of bisection is not known until Pro . 8 be solved , yet this does not affect the truth of the ...
... Wherefore the angles at the base , & c . Note . It is evident that some line , as AD , will bisect the BAC ; and although the method of bisection is not known until Pro . 8 be solved , yet this does not affect the truth of the ...
Side 18
... Wherefore , if two angles , & c . COR . - Hence every equiangular triangle is equilateral . PROP . VII . THEOR . If two triangles have three sides of the one re- spectively equal to the three sides of the other , each to each , the ...
... Wherefore , if two angles , & c . COR . - Hence every equiangular triangle is equilateral . PROP . VII . THEOR . If two triangles have three sides of the one re- spectively equal to the three sides of the other , each to each , the ...
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The Elements of Geometry, Symbolically Arranged Great Britain Admiralty Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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...
Side 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...
Side 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...
Side 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.
Side 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.
Side 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...
Side 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.
Side 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.
Side 21 - To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it.