Clavius, Christoph, Geometria practica

Table of contents

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[11.] QVINTI LIBRI CAPITA.
[12.] SEXTI LIBRI PROPOSITIONES.
[13.] SEP TIMI LIBRI Propoſitiones.
[14.] FINIS.
[15.] PRÆFATIO.
[16.] GEOMETRIÆ PRACTICÆ. LIBER PRIMVS. Tria capita ad dimenſionem linearum ſum-me neceſſaria complectens.
[17.] INSTRVMENTI PARTIVM Conſtructio, atque vſus. CAPVT I.
[18.] CAPVT II.
[19.] SEQVITVR TABELLA.
[20.] PROBLEMATA VARIA TRIANGV-lorum rectilineorum. Capvt III.
[21.] TRIANGVLORVM RECTILINEORVM RECTAN-gulorum problemata. I. PROPORTIONES LATERVM
[22.] II. LATVS.
[23.] III. LATVS.
[24.] IIII. LATVS.
[25.] V. BASEM.
[26.] VI. BASEM.
[27.] VII. ANGVLVM.
[28.] VIII. ANGVLVM.
[29.] TRIANGVLORVM RECTILINEO-rum obliquangulorum Problemata. IX. SEGMENTA LATERIS A Perpendiculari facta.
[30.] X. LATERA DVO.
[31.] Rurſus
[32.] XI. LATVS.
[33.] XII. LATVS.
[34.] Deinde.
[35.] Hæc autem tangens hoc etiam modo inuenietur, qui priori præferendus videtur.
[36.] Poſt hæc.
[37.] XIII. LATVS.
[38.] XIIII. ANGVLOS DVOS.
[39.] XV. ANGVLOS DVOS.
[40.] XVI. ANGVLOS OMNES TRES. Ex tribus omnibus lateribus perueſtigare.
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1126INDEX. COROLLARIVM. Cylindro, priſmati, cono, ac pyramidi cu-
bum
æqualem exhibere. # 369
XXXIX
. Dato cubo æquale parallelepipedum rectangulum ſub data alti-
tudine
, vel ſupra datam baſem conſtr@ere. # 370
COROLLARIVM
. Cylindrum, priſma, conum, ac pyramidem
in
parallelepipedum rectangulum æquale datæ altitudinis, vel baſis
commutare
. # 370
XL
. Sphæræ datæ cubum æqualem; Et dato cubo æqualem ſphæram con-
ſtituere
. # 370
COROLLARIVM
I. Sphæræ datæ ſolidum rectangulum ſupra
baſem
quotlibet angulorum æquale, & pyramidem cuiuſcunque baſis
æqualem
, vel etiam conum æqualem conſtruere. Et viciſsim cuilibet
priſmati
ſphæram æqualem exhibere. # 371
COROLLARIVM
II. Sphæram cuilibet corpori regulari con-
ſtituere
æqualem. # 371
XLI
. Duob{us}, aut plurib{us} cubis vnum cubum æqualem efficere.
# 372
SCHOLIVM
. Quotlibet figuris ſolidis non cubis cubum æqua-
lem
conſtruere. # 372
XLII
. Dato cubo corp{us} regulare, quod ex quinque elegeris, æqualem con-
ſtruere
. # 372
XLIII
. Ex maiori cubo detrahere minorem, reſiduoque cubum æquale
exhibere
. # 373
SCHOLIVM
. Ex quauis figura ſolida maiori minorem quamcun-
que
auferre, reſiduoque cubum æqualem conſtituere. # 373
XLIV
. Datis duab{us}, aut plurib{us} ſphæris ſphæram vnam æqualem con-
ſtituere
. # 373
XLV
. Ex maiori ſphæra minorem ſphæram detrahere, reſiduoque ſphæram
æqualem
exhibere. # 373
XLVI
. Datum cubum, aut par allelepipedum, ſecundum datam proportio-
nem
ſecare. # 373
SCHOLIVM
. Priſma, vel cylindrum, ſecundum datam propor-
tionem
diuidere. # 373
XLVI
. Figuram Ellipſi ſimilem, quam ouatam dicunt, circino deſ@ri-
bere
: Eiuſque aream, ſi beneficio trianguli æquilateri deſcripta est, explo-
rare
. #

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