 | Benedictus de Spinoza - Ethics - 1895 - 102 pages
...of the soul, I understand it to be united to the body. Union with body is the very meaning of soul. If two lines are parallel to a third they are parallel to one another, and so it is possible to see the proportionality of 2, 4, 3, 6 without Euclid. When we... | |
 | Benedictus de Spinoza - Ethics - 1895 - 106 pages
...Essence is that which makes a thing what it is. We are said to know per essentiam when we see that if two lines are parallel to a third they are parallel to one another. When I know the essence of the soul — ie, what soul means or is — I understand it... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...parallels is perpendicular to a plane, the other is also perpendicular to the plane, and conversely. a. If two lines are parallel to a third, they are parallel to each other. 7. If two angles not in the plane have their sides respectively parallel, and lying on the same side... | |
 | Education - 1911 - 946 pages
...each other if and only if they are both perpendicular to some one plane. [F2, 3.] 10. If two straight lines are parallel to a third, they are parallel to each other. [F4.] (Derived from 9.) 11. Two planes are parallel to each other if and only if they are both perpendicular... | |
 | Georges Sorel - Business & Economics - 1984 - 352 pages
...and which do not demand any shaving. Euclid acknowledges that all right angles are equal, and that if two lines are parallel to a third, they are parallel to each other; these two principles are those which express the rules of the art with which Greek walls were constructed.... | |
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If two lines are parallel to a third, they are parallel to each other. We distinguish two cases according as the third line lies between the two lines or not. In the first case, let AK and DQ (Fig. 4) be each parallel to ML. We wish to prove that AK is... 