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" BGH are together equal* to two right angles: and BGH is a right angle; therefore also GBA is a right angle, and GB perpendicular to BA. For the same reason GB is perpendicular to BC. Since therefore the straight line GB stands at right angles to the two... "
An elementary course of mathematics - Page 16
by Samuel Hunter Christie - 1847
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...perpendicular to BC fmce therefore the ftraight line GB ftands at right angles to the two ftraight lines BA, BC, that cut one another in B ; GB is perpendicular f to the plane through fBA, BC. and it is perpendicular to the plane through DE, EF ; therefore BG...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...perpendicular to BC : Since therefore the ftraight line GB ftands at right angles to the two ftraight lines BA, BC, that cut one another in B; GB is perpendicular f to the plane through BA, BC : Andf 4- • it is perpendicular to the plane through DE, EF ; therefore...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...perpendicular to BC : Since therefore the ftraight line GB llands at right angles to the two ftraight lines BA, BC, that cut one another in • B ; GB is perpendicular i to the plane through BA, BC : And f 4. n. it is perpendicular \o the plane through Dli, EF ; therefore...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...perpendicular to BC : Since therefore the ftraight line GB ftands at right angles to the two ftraight lines BA, BC, that cut one another in B ; GB is perpendicular ff 4. 7. to the plane through BA, BC : And it is perpendicular to the plane through DE, EF ; therefore...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...BooK XI. to BC : Since, therefore, the ftraight line GB ftands at right angles to the two ft might lines BA, BC, that cut one another in B ; GB is perpendicular r to the plane through BA, BC : And it is perpendicular to the plane through DE, EF ; therefore BG...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...perpendicular to BC. fince therefore the ftraight line GB flands at right angles to the two ftraight lines BA, BC, that cut one another in B ; GB is perpendicular f '"• 4. "• to the plane through BA, BC. and it is perpendicular to the plane through DE, EF ;...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...to two right angles: and BGH is a * 29. 1. right angle; therefore also GBA is a right angle, and GB perpendicular to BA : for the same reason, GB is perpendicular...BC, that cut one another in B, GB is perpendicular f to the plane through BA, BC ; and it isf 4. II. perpendicular to the plane through DE, EF : therefore...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...therefore GB is perpendicular to BA. For the same reason GB is perpendicular to BC. Therefore, since the straight line GB stands at right angles to the two straight lines BA, BC, which meet c Def. 1. 2 Sup. g!2.2. Sup. Suppl. in B, GB is perpendicular5 to the plane through BA,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...to two right angles: and BGH e 29. 1. is a right angle; therefore also GBA is a right angle, and GB perpendicular to BA: for the same reason, GB is perpendicular...GB is perpendicular' to the plane through BA, BC; and it isf4. n. perpendicular to the plane through DE, EF: therefore BG is perpendicular to each of...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...two right angles : And BGH is a 29. 1. right angle ; therefore also GBA is a right an^le, and GB perpendicular to BA : For the same reason, GB is perpendicular...BC, that cut one another in B; GB is perpendicular f to the plane f*. n. through BA, BC : And it is perpendicular to the plane through DE,.EF; therefore...
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