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" Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Educational Record of the Province of Quebec: The Medium Through which ... - Side 186
1891
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 sider
...ftraight line, &c, Q^ED PROP. VIII. THEOR; TF a ftraight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 sider
...fquare of B c. If therefore a right line be divided into any two parts, the rectangle contained under the whole line and one of the parts, is equal to the rectangle contained under the parts, and the fquare of the part afordaid. Which was to be demonftrated. PROP. IV. THEOR....
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 sider
...Q._E. D. cCof.4.t. E PROP. VIII. THEO K. TF a ftraight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the fquare of the other part, is equal to the fquare of the ftraight line which is made...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 326 sider
...the fquare AE. Wherefore, &c. PROP. III. THEO -R. IF a right line be any how cut, the reElangle under the whole line, and one of the parts, is equal to the reclangle under the two parts, together with the fquare oftbefirft mentioned part. Let the right line...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 sider
...III. THEOR. tF a fbaight line be divided into any two parts, thd *. rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the fquare of the forefaid part. T> ° Let the ftraight line AB be divided into any two parts in the point...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 sider
...fquare of AB. Qj ED PROP. X. THEOREM. If a right line be divided into any two parts, the rectangle of the whole line and one of the parts, is equal to the rectangle of the two parts, together with the fquare of the aforefaid part. Let the right line AB be divided...
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Elements of Algebra for the Use of Students in Universities: To which is ...

William Trail - 1796 - 334 sider
...place of that conftruction. PROP. PROP. I. To divide a given Jlraight line AB into two parts, fo that the rectangle contained by the -whole line, and one of the parts, may be equal to thefquare of the other part. This is Prop. i ith II. B. of Euclid. e ~-~ ACB Let C...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 sider
...34- 1• bCoi. 4. 2 PROP. VIII. TIIEOR. F a ftraight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the Iquare of the other part, is equal to the fquare of the ftraight line which is made...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - 1803 - 306 sider
...AS, Bg, CD and DA. Q..ED PROP. XXII, PROBLEM. To divide a given right line into two parts, fo that the rectangle contained by the whole line and one of the parts, fhall be equal to the fquare of the other part. Let AB be the given right line ; it is required to...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - 1803 - 470 sider
...fquare of AB. QED PROP. X. THEOREM. If a right line be divided into any two parts, the re6langle of the whole line and one of the parts, is equal to the reftangle of the two parts, together 'with the fquare of the aforefaid part. Let the right line AB...
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