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" If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel to the plane passing through the others. "
Mathematical Problems and Examples, Arranged According to Subjects, from the ... - Σελίδα 126
1836 - 335 σελίδες
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...IF two straight lines which meet each other be parallel to two straight lines which meet each other, but are not in the same plane with the first two, the plane which passes through the former lines is parallel to the plane which passes through the latter. Let AB, BC, two straight...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1819 - 800 σελίδες
...Theor. If two straight line» meeting one another, be parallel to two straight lines which шее! one another, but are not in the same plane with the...which passes through these is parallel to the plane pasting through the other*. Prop. XVI. Theor. If two parallel planes be cut by another plane, their...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 σελίδες
...XIII. THEOR. If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel {o the plane passing through the others. Let AB, BC, two straight lines meeting...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 σελίδες
...another ; that is, they are parallel (def. 7. K. Sup.). Therefore planes, &c. Q, ED ^ PROP. XIII. THEOR. If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...PROP. XV. THEOREM. Jftno straight lines meeting one another, be parallel to ttvo straight lines tvhich meet one another, but are not in the same plane with the Jtrtt lito ; the plane which posset through these is parallel to the plane passing through the otiiert....

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 σελίδες
...THEOR. SeeN. •1t. 11. • 31. 1. If two straight lines meeting one another be parallel to two other straight lines which meet one another, but are not in the same plane with the Jirst two; the plane which passes through these is parallel to the plane passing through the others....

The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 548 σελίδες
...one another ; that is, they are parallel (8. def. 11.). Therefore, planes, &c. QED PROP. XV. THEOR. IF two straight lines meeting one another, be parallel...to two straight lines which meet one another, but arc not in" the same plane with the first two, the plane which*passes through these is parallel to...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 σελίδες
...XIII. THEOR. If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two: the plane lohichpasses through the first two is parallel to the plane passing through the others. Let AB, BC,...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 σελίδες
...PROPOSITION XV. TIIEOR. — If two straight lines meeting one another, be parallel See N. to Iwo other straight lines which meet one another but are not in the same plane with the Jirst two, the plane which passes through these is parallel to the plane passing through the others....

The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 544 σελίδες
...THEOR. If two straight lines meeting one another, be pa- See N. rallel to two straight lines which also meet one another, but are not in the same plane with the first two ; the plane which passes through the first two is parallel to the plane passing through the others. Let AB, BC, two straight lines meeting...




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