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" BAG is a right angle (Def. 30.), the two straight lines AC, AG upon the opposite sides of AB, make with it at the point A the adjacent angles equal to two right angles; therefore CA is in the same straight line (i. "
Elements of Geometry with Notes - Page 196
by John Radford Young - 1833 - 216 pages
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...the adjacent angles equal to two right angles; therefore CA is in the same straight line" 1 with AG; for the same reason, AB and AH are in the same straight line; and because the augle DBG is equal to the angle FBA, each of them being a right angle, add to each the angle ABC, and...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...the adjacent angles equal to two right angles ; therefore CA is in the same straight line d with AG; for the same reason, AB and AH are in the same straight...right angle, add to each the angle ABC, and the whole 'in. D angle DBA is equal0 to the whole FBC; and because thep* AV two sides AB, BD, are equal to the...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...straight line (14'.' 1.) wft> AG ; for the same reason, AB and Ail are in the same straight line. Now because the angle DBC is equal to the angle FBA, each of them being a right angle, adding to each the angle ABC, the whole angle DBA will be equal (2. A\.) to the whole FBC ; and because...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...adjacent angles equal to. two right angles ; therefore CA is in the same straight line (14. 1.) with AG ; for the same reason, AB and AH are in the same straight line. Now because the angle DBC is equal to the angle FBA, each of them being a right angle, -adding to each...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...adjacent angles equal to two right angles: therefore CA is in the same straight line (14. 1.) with. AG: for the same reason, AB and AH are in the same straight...each the angle ABC, and the whole angle DBA is equal (2. Ax.) to the whole FBC: and because the two sidea AB, BD are equal to the two FB, BC, each to each,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...angles equal to two rig'it angle-. ; theivioro CA is in the same straight line (14. 1 .) with AG ; for the same reason, AB and AH are in the same straight line ; And because the angle DEC is equal to the angle FBA, each of them being a right angle, add to each the angle ABC, and the...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...in one and the same right line. b Fo? the b 14. i. same reason AB, AH, are in one and the same right line. And because the angle DBC is equal to the angle FBA, each of them is a right angle : add ABC, which is common: therefore the whole angle DBA is equal to the whole angle...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...the adjacent angles equal to two right angles: therefore CA is in the same straight line * with AG : for the same reason, AB and AH are in the same straight line. And because the angle DEC is equalf to the angle FBA, each of them being a rightf angle, add to each the angle ABC ; therefore...
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Geometry Without Axioms; Or the First Book of Euclid's Elements. With ...

Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...line. por tjje iite reason, AH and AB are in the same straight line. And because the angle DBG isf equal to the angle FBA (each of them being a right angle), add to each the angle ABC ; therefore the whole angle DBA isf equal to the whole angle CBF; and because the two sides AB, BD...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...the adjacent angles equal to two right angles : therefore CA is in the same straight line * with AG : for the same reason, AB and AH are in the same straight line. And because the angle DBC is equal t to the angle FBA, each of them being a right f angle, add •46. I. •31. 1. fHyp. • 30 Def. H...
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