Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" ... any two parallelograms are to each other as the products of their bases by their altitudes. PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by its altitude. "
Elements of Plane and Solid Geometry - Page 179
by George Albert Wentworth - 1877 - 398 pages
Full view - About this book

Plane Geometry

Arthur Schultze - 1901 - 260 pages
...D . 342. COR. 1. Parallelograms having equal bases and equal altitudes are equivalent. 343. COE. 2. Any two parallelograms are to each other as the products of their bases and altitudes. 344. COR. 3. Parallelograms having equal bases are to each other as their altitudes....
Full view - About this book

Plane Geometry: A Complete Course in the Elements of the Science

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...regarded as bases, and their bases as altitudes. PROPOSITION III. — THEOREM. Any two rectangles are to each other as the products of their bases by their altitudes. Given. — Let R and R' represent two rectangles whose bases are respectively 6 and b', and altitudes...
Full view - About this book

Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...altitude a. But the sum of the bases of the triangular prism equals B. .:V=Bxa. 570. COR. 1. Prisms are to each other as the products of their bases by their altitudes. 572. COR. 3. Prisms that have equal altitudes are to each other as their bases. 573. COK. 4. Prisms...
Full view - About this book

University of the State of New York Bulletin

Education - 1902 - 880 pages
...perpendicular to a chord bisects the chord and its subtended arc. 4 Prove that the areas of two rectangles are to each other as the products of their bases by their altitudes. 5 Prove that two regular polygons of the same number of sides are similar. Second 6 The base of a triangle...
Full view - About this book

Bulletin

Education - 1902 - 780 pages
...perpendicular to a chord bisects the chord and its subtended arc. 4 Prove that the areas of two rectangles are to each other as the products of their bases by their altitudes. 5 Prove that two regular polygons of the same number of sides are similar. Second 6 The base of a triangle...
Full view - About this book

Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 246 pages
...altitudes; triangles having equal altitudes are to each other as their bases; any two triangles are to each other as the products of their bases by their altitudes. 410. The areas of two triangles which have an angle of the one equal to an angle of the other are to...
Full view - About this book

Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 396 pages
...ADEF a rectangle. ADEF = ADCB. (?) ADEF == AD X ED. (?) ABCD = AD X ED. (?) QED 589. COROLLARY II. Any two parallelograms are to each other as the products of their bases and altitudes; if their bases are equal the parallelograms are to each other as their altitudes; if...
Full view - About this book

Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903 - 392 pages
...; two triangles having equal bases are to each other as their altitudes ; and any two triangles are to each other as the products of their bases by their altitudes. 200. Corollary 111. A triangle is equivalent to one-half a parallelogram having the same base and altitude....
Full view - About this book

Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...each other as their altitudes; parallelograms having equal altitudes are to each other as their bases; any two parallelograms are to each other as the products of their bases by their altitudes. 188 PROPOSITION V. THEOREM. 403. The area of a triangle is equal to half the product of its base by...
Full view - About this book

Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...QED 234 BOOK IV. PLANE GEOMETRY PRGPOSIT ION II . TH EG RKM 382. The areas of any two rectangles are to each other as the products of their bases by their altitudes. Given the rectangles R and Rr , having the bases 1) and V ', and the altitudes a and oJ ', respectively....
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF