The Elements of Geometry, Symbolically Arranged |
Inni boken
Resultat 1-5 av 12
Side
... propositions ; and moreover to refer to the proposi- tions upon which the proofs depend . He will thus acquire a facility of not only writing down the proposi- tions with neatness and accuracy ; but also , when called upon to ...
... propositions ; and moreover to refer to the proposi- tions upon which the proofs depend . He will thus acquire a facility of not only writing down the proposi- tions with neatness and accuracy ; but also , when called upon to ...
Side 1
... proposition . point . rectangle . dist . distance . rectilin . rectilineal . 99 99 ea . to ea . , each to each . rem . remainder . 99 equilat . , equilateral . rt . 99 right . ext . exterior . دو seg . 99 segment . fig . hyp . int . 99 ...
... proposition . point . rectangle . dist . distance . rectilin . rectilineal . 99 99 ea . to ea . , each to each . rem . remainder . 99 equilat . , equilateral . rt . 99 right . ext . exterior . دو seg . 99 segment . fig . hyp . int . 99 ...
Side 10
... proposition is something either proposed to be done , or to be demonstrated , and is either a problem or a theorem ... proposition . An axiom is an evident truth , but which admits of no demonstration . A postulate is a request to admit ...
... proposition is something either proposed to be done , or to be demonstrated , and is either a problem or a theorem ... proposition . An axiom is an evident truth , but which admits of no demonstration . A postulate is a request to admit ...
Side 16
... 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 proposition ; since we are at liberty to sup- 16 GEOMETRY .
... 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 proposition ; since we are at liberty to sup- 16 GEOMETRY .
Side 17
Great Britain. Admiralty. the proposition ; since we are at liberty to sup- pose any line to be drawn , or any figure to be constructed , the existence of which does not in- volve an absurdity . The first proof of this pro- position is ...
Great Britain. Admiralty. the proposition ; since we are at liberty to sup- pose any line to be drawn , or any figure to be constructed , the existence of which does not in- volve an absurdity . The first proof of this pro- position is ...
Andre utgaver - Vis alle
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.