Timeline for Dissection proof of Heron's formula?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 12 at 15:03 | comment | added | Emil Jeřábek | Identifying the intersection point is very easy: en.wikipedia.org/wiki/Thales%27s_theorem . You don’t even have to split the trinagles into right-angled triangles as such; you simply drop the altitude so that you can measure it, and then computing the area is trivial. In ancient or medieval times, this would have been certainly easier than dealing with the square root in Heron’s formula. The whole story smacks of an unfounded legend. | |
| Oct 12 at 14:30 | comment | added | user127776 | also when dividing land you don't want to split it to tiny disconnected components so that each person's share could be disconnected. | |
| Oct 12 at 14:12 | comment | added | user127776 | @FedorPetrov Drawing perpendicular lines on land might not have been easy, since you need to identify the intersection point. (At least I have no idea how to do it without an image from above.) | |
| Oct 12 at 14:02 | comment | added | Fedor Petrov | @user127776 but everything which is partitioned onto triangles may be partitioned onto right triangles | |
| Oct 12 at 14:01 | comment | added | user127776 | @FedorPetrov Maybe the land was not necessarily rectangular. | |
| Oct 12 at 7:52 | review | Low quality posts | |||
| Oct 12 at 11:36 | |||||
| Oct 11 at 14:56 | comment | added | Fedor Petrov | But why they did not partition it to right triangles for which area formula is much easier? | |
| Oct 11 at 14:51 | history | answered | Gavin Wraith | CC BY-SA 4.0 |