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Books Books 31 - 34 of 34 on ABG ; (vi. 1.) therefore the triangle ABC has to the triangle ABG the duplicate ratio....  
" ABG ; (vi. 1.) therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which... "
Euclid's Elements of geometry: from the Latin translation of Commandine. To ... - Page 168
by John Keill - 1723 - 364 pages
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Euclid's Elements of geometry: chiefly from the text of Dr. Simson ...

Robert Potts - Mathematics - 1865 - 504 pages
...the triangle ABG ; (vI. 1.) therefore the triangle ABC has to the triangle ABG, the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF, the duplicate ratio of that which BC has to EF. Therefore,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Mathematics - 1868 - 410 pages
...the triangle^-BC?; (vI.l.) therefore the triangle ABC has to the triangle ABG, the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF, the duplicate ratio of that which .BChas to EF. Therefore...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...(VI. 1) ; therefore 5. The triangle ABC has to the triangle ABG, the duplicate ratio of that which BU has to EF; but the triangle ABG is equal to the triangle DEF ; therefore also 6. The triangle ABC has to the triangle DEF, the duplicate ratio of that which BC has to EF. Therefore,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts, Thomas Kirkland - Geometry, Plane - 1876 - 403 pages
...(vi.l.) therefore the triangle ^.BChas to the triangle ABG, the duplicate ratio of that which 7?Chas to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABChas to the triangle D'EF, the duplicate ratio of that which JVC has to EF. Therefore...
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