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" P' R' are right angles ; therefore the triangle v' P' R' is equal to the triangle m' P' S', and the remaining angles of the one equal to the remaining angles of the other, each to each ; hence the angle P' v' R' is equal to the angle P'm'S'. Again, because... "
A popular and practical treatise on masonry and stone-cutting - Page 9
by Peter Nicholson - 1828 - 111 pages
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Logarithms - 1723 - 444 pages
...Angle EDF. I fay, that the Bafe BC is equal to the Bafe EF, the Triangle ABC equal to the Triangle DEF, and the remaining Angles of the one equal to the remaining Angles or the other, each to its Correfpondent, fubtending the equal Sides, viz. the Angle ABC equal to the...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...ED F. I fay, that the Bafe BC is equal to the Bafe EF, the Triangle ABC equal to the Triangle DEF, and the remaining Angles of the one equal to the remaining Angles of the other, each to its Correfpondent, fubtending the equal Sides, viz. the Angle ABC equal to the Angle DEF, and the Angle...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...obtufe : I fay, the remaining fide of the one triangle will be equal to the remaining fide of the other; and the remaining angles of the one equal to the remaining angles of the other. Which was to be demonftrated. PRO PV THEO R. If two triangles have two fides of the one equal to two...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...the Bate AB is | equal to the {4 t/ttit. Bale FC ; and the Triangle AEB equal to the Triangle PEG j and the remaining Angles of the one equal to the remaining Angles ol the other, each to each, fubtending 'the equal Sides. Wherefore the Angle BAE is eqxial to the Angle...
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A Royal Road to Geometry: Or, an Easy and Familiar Introduction to the ...

Thomas Malton - 1774 - 484 pages
...alfo equal; then, the remaining Side, of the one, fhall be equal to the remaining Side of the other i the remaining Angles, of the one, equal to the remaining Angles of the other, vi2. thofe that are pppofite equal Sides; and. the whole Triangles are equal, and congruous. Let the...
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The Elements of Euclid: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 326 pages
...baje of the one triangle will be equal to the bafe of the other ; the two triangles will be equal, and the remaining angles of the one equal to the remaining angles of the other, each to each, which the equal fides fubtendvf* Let the two triangles be ABC, DEF, having the two fides AB, AC, equal...
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The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 318 pages
...of the one triangle will be equal to the bafe of the other ; the two triangles will be equal, (tnd the remaining angles of the one equal to the remaining angles of the other, each to each, which the equal fides fubt end. Let the two triangles be ABC, DEF, having the two fides AB, AC, equal...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 476 pages
...ED F. I fay, that the Bafe BC is equal to the Bafe EF, the Triangle ABC equal to the Triangle DEF, and the remaining Angles of the one equal to the remaining Angles of the other, each to its correfponcient, fubtending the equal Sides } viz. the Angle ABC equal to the Angle DEF, and the...
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Operative Masonry: Or, A Theoretical and Practical Treatise of Building ...

Edward Shaw - Architecture - 1832 - 244 pages
...equal to P'm', and the angles m'P'S'^ and e'P'R', are right angles ; therefore the triangle t'T'R' is equal to the triangle m'P'S', and the remaining...is equal to O'm', and O'Q,' is equal to O'R', and OV is also equal to O'R' ; therefore OV is equal to О'Ц', and since the angles O'fu' and O'm'Q' are...
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Civil Architecture, Or, A Complete Theoretical and Practical System of ...

Edward Shaw - Architecture - 1832 - 402 pages
...«' P' R', are right angles ; therefore the triangle »' P' R', is equal to the triangle m' P' S', and the remaining angles of the one, equal to the...angles of the other, each to each ; hence the angle P' v R' is equal to the angle P' m' S'. 10. Again, because O' i' is equal to 0' m', and 0' Q' is equal...
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