 | Eucleides - 1860 - 396 pages
...is to AD, as EA is to AB). [2.] And if triangles (ABC and ADE) have an angle in the one equal to an angle in the other, and their sides about the equal angles reciprocally proportional, they are equal to ooe another. CONSTRUCTION. Let the sides CA, AD, be placed contiguous, in the same... | |
 | Euclides - 1860 - 288 pages
...those angles equal about which the sides are proportionals. Given the two triangles ABC and DEE having one angle in the one equal to one angle in the other ; namely,- the angle BAG to the angle EDF, and the sides about two other angles ABC and DEF, proportionals,... | |
 | Euclides - 1861 - 464 pages
...11, V. 5 Cone. E. 1 H. CASE II. 2 Cone. D. 1 H. & 1, VI. 2 1,VI. S 11, V. 4 9, V. 5 Ree. portioned: and conversely, triangles which have one angle in the one equal to one angle in the other, and the sides about the equal angles reciprocally proportional, are equal to one another. CON. 14, Pst.... | |
 | Woolwich roy. military acad - 1861 - 572 pages
...reciprocally proportional, and parallelograms that have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. 9. Prove the sine of an angle or arc equal to the cosine of its complement. Find the angle or arc,... | |
 | War office - 1861 - 714 pages
...equilateral triangle in a given circle. 2. When are triangles called " reciprocal figures?" Prove that triangles, which have one angle in the one equal to one angle in the other, and the sides about the equal angles reciprocally proportional, are equal to each other. The base and altitude... | |
 | Euclides - 1864 - 448 pages
...shall have those angles equal about which the stiies are proportionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BA C to the angle EDF, and the sides about two other angles ABC, DEF proportionals,... | |
 | Euclides - 1865 - 402 pages
...proportionals. (References— Prop. I. 5, 13, 17, 23, 32 ; v. 9, 11 ; VI. 4.) Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals, so... | |
 | Robert Potts - 1865 - 528 pages
...shall have those angles equal about which the sides are proportionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BA C to the angle EDF, and the sidea about two other angles ABC, DEF proportionals,... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...angles reciprocally proportional; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal. 6. The circumferences of circles are to one another as their diameters. 6. If two straight lines meeting... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...angles reciprocally proportional; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. Let ABC, ADE bo equal triangles, which have the angle BAC equal to the angle DAE: the sides of the... | |
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ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BAC to the angle EDF, and the sides about... 
