Vertically means that every class connected to the next class is connected to every class throughout the semester around a spiral.

纵向意味着每一节课都和下一节课有关系,和整个学期内的每一节课都有关系，呈一个螺旋状。

哈佛公开课 - 幸福课课程节选

It shows in these parts of the pyramid that run vertically rather than horizontally, how much people should be eating of various foods.

这个金字塔的组成部分,是垂直排列的,而非以往的水平排列,它们代表了人体对每种食物的需求量

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选

What that means is that integrated vertically as well as horizontally.

就是指纵向的整体和横向的整体。

哈佛公开课 - 幸福课课程节选

One of the things that we discussed was this type of imagery here where you have vertically these pillars, if you will, or we could even call--the more I sort of looked at this--sort of call them tree trunks almost.

我们讨论的问题之一是这里的这种意象，这些垂直的柱子，如果你愿意的话，我们可以称之为，我越看越觉得称之为树干比较好。

耶鲁公开课 - 聆听音乐课程节选

So it's vertically interconnected.

所以是纵向相互联系的。

哈佛公开课 - 幸福课课程节选

Well,if you go back to the formation of musical notation from the ninth through the twelfth centuries we see that very early on these two dimensions of music the two axes of music that we talked about before pitch vertically and duration horizontally, are in place and we have these spots in this grid.

回顾一下从公元九世纪至二十世纪,音乐记谱法的历史形成过程,我们可以看出,音乐的两个维度,就是我们之前提到的音乐的两个轴,纵轴是音高,横轴是时值,在早期已经存在了,我们在这样的网格上用点记录

耶鲁公开课 - 聆听音乐课程节选