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 Books Bücher 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. The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Seite 163
von Robert Simson - 1762 - 466 Seiten
Vollansicht - Über dieses Buch ## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 444 Seiten
...reci frotalt are equal between themfelves. if - • • . * • T ET the equal Triangles ABC, ADE, have one •*-' Angle of the one equal to one Angle of the other, viz the Angle BAC equal to the Angle DAE. I lay the Sides about the equal Angles are reciprocal, th.it...
Vollansicht - Über dieses Buch ## The Elements of Euclid: With Select Theorems Out of Archimedes

Euclid, André Tacquet - 1727 - 280 Seiten
...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...
Vollansicht - Über dieses Buch ## Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 444 Seiten
...is equal to the Angle GFL ; and BA is to AE, as GF is to F L. Therefore the two Triangles BAE, GFL, have one Angle of the one equal to one Angle of the other, viz. the Angle BAE equal to the Angle GFL, and the Sides about the equal Angles proportional. Wherefore...
Vollansicht - Über dieses Buch ## Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - 492 Seiten
...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...
Vollansicht - Über dieses Buch ## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 462 Seiten
...are equal; which was to be demonftrated. tl PROPOSITION XV. . ry, 1 HEORE M. Equal Triangles, having one Angle of the one equal to one Angle of the other, have tbeir ' Sides about tbe equal Angles reciprccal ; and thofe -Triangles that have one Angle of the one...
Vollansicht - Über dieses Buch ## The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 338 Seiten
...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...
Vollansicht - Über dieses Buch ## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 Seiten
...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...
Vollansicht - Über dieses Buch ## The Elements of Euclid,: In which the Propositions are Demonstrated in a New ...

Euclid - 1776 - 318 Seiten
...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...
Vollansicht - Über dieses Buch ## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 Seiten
...other, have their fides about the equal angles reciprocally proportional : And parallelograms that have one angle of the one equal to one angle of the other, and their fides about the equal angles reciprocally proportional, are equal to one anther. Let AB,...
Vollansicht - Über dieses Buch ## Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 296 Seiten
...equiangular with the triangle AGH (I. 7.) or ABC, as was to be fhewn. PROP. VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the fides about the equal angles proportional, the triangles will be equiangular. Let ABC, DEF...
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