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" 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 first two; the plane which passes through these is parallel to the plane passing through the others. "
A collection of elementary test questions in pure and mixed mathematics ... - Σελίδα 203
των James Robert Christie - 1866 - 404 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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

Robert Simson - 1806 - 546 σελίδες
...planes, &c. QED PROP. XV. THEOR. IF two straight lines meeting one another, be pa- See N. rallel to two straight lines which meet one another, but are not...with the first two ; the plane which passes through these is parallel to the plane passing through the others. Let AB, BC, two straight lines meeting one...

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 - 1813 - 714 σελίδες
...parallel to one another. Prop. XV. Theor. If two straight lines meeting one another, be parallel to two straight lines which meet one another, but are not...with the first two; the plane which passes through these is parallel to the plane passing through the Other-. Prop. XVI. Theor. If two parallel planes...

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

Euclides - 1816 - 588 σελίδες
...D x Boo* XI. PROP. XV. THEOR. IF two straight lines meeting one another, be pa- See*. rallel to two straight lines which meet one another, but are not...with the first two; the plane which passes through these is parallel to the plane passing through the others. Let AB, BC, two straight lines meeting one...

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...

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 first two; the plane which passes through these is parallel to the plane pasting through the other*. Prop. XVI. Theor. If two parallel planes...

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

Euclid, Robert Simson - 1821 - 514 σελίδες
...one another. Therefore AB is parallel toCD. Wherefore, two straight lines, &c. QED i PROP. X. THEOR. IF two straight lines meeting one another be parallel to two other that meet one another, and are not in the same plane with the first two, the first two and the other...

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
...11. is*, they are parallel. Therefore planes, &c. QED PROP. XV. THEOR. SeeN. •1t. 11. • 31. 1. If two straight lines meeting one another be parallel...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....

Calendar

University of Cambridge - 1830 - 554 σελίδες
...duplicate ratio of their homologous sides. 2. If two straight lines meeting one another, be parallel to two straight lines which meet one another, but are not...with the first two, the plane which passes through these, is parallel to the plane passing through the others. 3. If y = ax + b, and y = a'x + 6', be...




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