Books Books
If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Page 236
by John Keill - 1782 - 399 pages

## The Elements of Euclid: With Select Theorems Out of Archimedes

Euclid, André Tacquet - Euclid's Elements - 1727 - 280 pages
...the firft Part. i PROP. XXVI. Theorem. IF two Triangles (XandZ) have two Angles equal&g. 2;. to two, one Angle of the one equal to one Angle of the other ( B to F and C to /), and one Side of one Equal to one of the other, whether it be that •which is...

## Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...are fubtcnded, are tqual j which 'was to be Semonftrated. PROPOSITION VI. THEOREM. If '-two Triangles have one Angle, of the one equal to one Angle of the other ; and if the Sides about the equal Angles be proportional^ then the Triangles are equiangular, and...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...equiangular to the triangle DEF. Wherefore if the fides, &c. Q^ED PROP. PROP. VI." THEOR. TF two triangles have one angle of the one equal to one angle of the other, and the fides about the equal angles proportionals, the triangles fhall be equiangular, and fhall have...

## Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - Geometry - 1765 - 492 pages
...and accordingly the triangles ABC, DBF are equiangular. . .v : ... .- ..: If therefore two triangles have one angle of the one equal ,to one angle of the othsr, and the fides about two other angles proportional, and have alfo each of the remaining angles...

## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 462 pages
...equal, about which are the proportional Sides. TET two Triangles ABC, DEF, have one An1 •*"* gle of the one equal to one Angle of the other, viz. the Angle BAG equal to the Angle EDF ; and let the Sides about the other Angles ABC, DEF, be proportional, viz....

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...the triangle DEF. Wherefore, if the fides, &c. QED PKOP. Book VI. PRO P. VI. THEO R. TF two triangles have one angle of the one equal to one angle of the other, and the ftdes about the equal angles proportionals, the triangles Shall be equiangular, and fhall have...

## The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...Angle in one is equal to the remaining Angle in the other Triangle. 8 1. Co ROLL. 3. If two Triangles have one Angle of the one equal to one Angle of the other, then the Sum of the two remaining Angles of one Triangle is equal to the Sum of the two remaining Angles...

## The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - Geometry - 1776 - 318 pages
...fides about the equal angles reciprocally proportional-, and theje parallelograms and triangles that have one angle of the one equal to one angle of the other , and the fides about the equal angles reciprocally proportional 9 are equal, viz. the parallelogram...