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" To make a Square Equal to the Difference of two Given Squares. LET AB and AC, taken in the same straight line, be equal to the sides of the two given squares. — From the centre A, with the distance AB, describe a circle ; and make CD perpendicular to... "
The Mechanic's Calculator; Comprehending Principles, Rules, and Tables in ... - Page 76
by William Grier - 1836 - 344 pages
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 1

Samuel Webber - Mathematics - 1808 - 466 pages
...the two former, and upon which the third figure may be constructed, by Problem XLII. PR0BLEM XLVIII. To make a square equal to the difference of two given squares P, R. On the side AC of the greater square, as a diameter, describe a semicircle ; in which apply AB,...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...will be equal to the sum of the three squares on AB, AC, AD. And so on for more squares. PROBLEM xxxv. To make a Square Equal to the Difference of two Given...describe a circle ; and make CD perpendicular to AB, meet- ACB ing the circumference in D : so shall a square described on CD be equal to ADS— AC2, or...
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A Course of Mathematics: In Two Volumes : for the Use of Academies ..., Volume 1

Charles Hutton - Mathematics - 1816 - 610 pages
...will be equal to the sum of the three squares on AB, AC, AD. And so on for more squares. PROBLEM XXXV. To make a Square Equal to the Difference of two Given...squares.— From the centre A, •with the distance AB di-scribe a circle ; and make CD perpendicular to AB meeting the circumference in D : so shall a square...
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A Course of Mathematics: In Two Volumes. For the Use of Academies ..., Volume 1

Charles Hutton - Arithmetic - 1818 - 646 pages
...will be equal to the sum of the three squares on AB, AC, AD. And so on for more squares. PROBLEM XXXV. To make a Square Equal to the Difference of two Given...with the distance AB, describe a circle ; and make cri perpendicular to AB, meet- ACB ing the circumference in D : so shall a square described on CD be...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...will be equal to the sum of the three squares on AB, AC. AD. And so on for more squares. PROBLEM XXXV. To make a Square equal to the Difference of two Given...in the same straight line, be equal to the sides of ^ -J) the two given squares. — From the cen- f /\\ tre A, with the distance AB, describe af , circle...
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A Course of Mathematics for the Use of Academies: As Well as ..., Volume 1

Charles Hutton - Mathematics - 1825 - 608 pages
...will be equal to the sum of the three squares on AB, AC, AD. And so on for more squares. PROBLEM XXXV. To make a Square equal to the Difference of two Given...centre A, with the distance AB, describe a circle ; and m.ike CD perpendicular to ACB AB, meeting the circumference in o : eo shall a square described on CD...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1831 - 660 pages
...sum of the three squares on AB, AC, АО. And so on for more squares. PROBLEM XXX7. To make a squere equal to the difference of two given squares. LET...describe a circle ; and make CD perpendicular to AB, meet- А С В ing the circumference in D : so shall a square described on CD be equal to AD3 — AC',...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1831 - 632 pages
...more squares. PROBLEM xxxv. To make a squere equal to the difference of two given squares. LET лв and AC, taken in the same straight line, be equal...sides of the two given squares. — From the centre л, / with the distance AB, describe a circle ; i and make CD perpendicular to AB, meet- А С Б ing...
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The Art of Miniature Painting on Ivory

Arthur Parsey - Miniature painting - 1831 - 242 pages
...described on B c will be equal to the sum of the two squares described on AB, A c. PROBLEM XXXV. PLATE VI. To make a square equal to the difference of two given squares. Let AB and A c, taken in the same straight line, be equal to the sides of the two given squares. From the centre...
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The Mechanic's Calculator: Comprehending Principles, Rules, and Tables in ...

William Grier - Mechanical engineering - 1836 - 384 pages
...; then a square described on BC will be equal to the sum of the two squares described on AB and jp~ AC. 25. To make a square equal to the difference of...centre A, with the distance AB, describe a circle ; LA CB and make CD perpendicular to AB, meeting the circumference in D ; so shall a square described...
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