Math Is Fun Forum

Hi, this puzzle:

https://www.mathsisfun.com/puzzles/weighing-jelly-babies-solution.html

is very complex puzzle I couldn't solve it or understand it

first I want to know did we put all the cartoons on the scale or only the 510 grams?
I mean maybe there is a lot of jelly babies around 1000g or more..

so are we measuring only the 51 ones that we take out or all of the boxes?

hi is there interacrtve math is fun or similar that for example when I write 5/100 it show me how many squares there is
like 100/100 it show 100% or 35% small squares representing it in a square shapes or whatever
like activity or a game or whatever in MIF?

Hi, there is some of MIF links that contain Adobe flashplayer, but it's no longer working
like that link:

https://www.mathsisfun.com/games/counting-bugs.html

the game is working only with adobe but flashplayer is not working anymore since 2021
is there a solution in the future for that link run the app in differnet player or something  like that pls

for example others sites switch from the dead flashplaer to ruffle flashplayer it's working on all browser and supported
https://ruffle.rs/

Definition By an angle is meant a point (called the vertex of the angle) and two rays (called the sides of the angle) emanating from the point. If the vertex of the angle is point A and if B and C are any two points other than A on the two sides of the angle, we speak of the angle /BAC or LCAB or simply of angle ZA.

III-4. If <BAC is an angle whose sides do not lie on the same line and if A'B is a ray emanating from A', then there is one and only one ray A'C' on a given side of line A'B', such that <B'A'C' <BAC. In short, a given angle can be laid off on a given side of a given ray in one and only one way. Every angle is congruent to itself.

The Axiom's Goal: It guarantees that if you have an angle in one place, you can perfectly recreate it in another place. It proves that measurement is portable.

I understand only the goal when I read it.
but the reast the axiom itself I can't understand it

that's another modern explanation:

Hilbert’s Axiom III, 4 (The Angle Construction Axiom)
    "Let angle(h, k) be an angle in a plane alpha and let a be a straight line in a plane alpha'. Let a definite side of a in alpha' be assigned. Let h' be a ray of the line a emanating from a point O'. Then there exists a unique ray k' such that the angle angle(h', k') is congruent to the angle angle(h, k)

I can't understand is there a step by step explanation please and a diagrams examples

I read from that book first pages: The most accurate English translation of Apollonius’s Conics (which is his main work) is by R. Catesby Taliaferro and Michael N. Fried, published by Green Lion Press.

I read: Apollonius’s his predecessor characterized the
curves by using the unique diameter that makes right angles with the chords,,

The question is where is that chord they mean here can u show me simple diagram as example

I didn't understand the full sentence where is the unique diameter and the right angle and the cord?

hi,
in this link :

https://mathcs.clarku.edu/%7Edjoyce/java/elements/bookVI/propVI4.html

I Quote from : Now, since the angle DCE equals the angle ABC, DC is parallel to FB. Again, since the angle ACB equals the angle DEC, AC is parallel to FE.
depending on the right link : (I.28) as you can see on the page in the right that blue link
that leads to proposition 28 book I (https://mathcs.clarku.edu/%7Edjoyce/java/elements/bookI/propI28.html)

the problem he is saying DCE equals the angle ABC but it's not like proposition 28 said
because DCE and ABC is corresponding angels which the proposition 28 didn't mention anything about it just talk about alternate angels,
so how cold they depend on something that in its turn didn't mention them or talk about!!!
please explain it's very necessary to me

on MIF https://www.mathsisfun.com/geometry/triangles-similar-finding.html

in the SAS example "side, angle, side"
there is two triangles, he found that these two is similar 
because thier ratios are equal
21 : 14  which is 3/2
and
15 : 10 which is 3/2

my problem is he divide Traingle1 Side over Traingle two Side
and divide the second side which is 15 of traingle 1 when the second side of the traingle two which is 10

but in Similar Topic on MIF https://www.mathsisfun.com/geometry/similar.html

in the Example named " Example: What is the missing length here?"
he divided the blue triangles with its sides themselves : 130/127 which is blue traingle side over blue traingle second side
and equal to  ?/80 which is red side over red side

now how to check the similarity exactly by dividing one side of a traingle with the other traingle side? or using the same side of the traingle
for example traingle with side x1 and x2 and another traingle with side y1 and y2
the similarity check is using : x1 over y1 equal to x2 over y2
or : x1 over x2 equal to y1 over y2?